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</div> <div class="control"> <button class="button is-small is-link">Go</button> </div> </div> </form> </div> </div> <ol class="breathe-horizontal" start="1"> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1812.08682">arXiv:1812.08682</a> <span> [<a href="https://arxiv.org/pdf/1812.08682">pdf</a>, <a href="https://arxiv.org/ps/1812.08682">ps</a>, <a href="https://arxiv.org/format/1812.08682">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/1361-648X/ab0471">10.1088/1361-648X/ab0471 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Critical fluctuations in the spin-orbit Mott insulator Sr$_3$Ir$_2$O$_7$ </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Vale%2C+J+G">J. G. Vale</a>, <a href="/search/cond-mat?searchtype=author&query=Boseggia%2C+S">S. Boseggia</a>, <a href="/search/cond-mat?searchtype=author&query=Walker%2C+H+C">H. C. Walker</a>, <a href="/search/cond-mat?searchtype=author&query=Springell%2C+R+S">R. S. Springell</a>, <a href="/search/cond-mat?searchtype=author&query=Hunter%2C+E+C">E. C. Hunter</a>, <a href="/search/cond-mat?searchtype=author&query=Perry%2C+R+S">R. S. Perry</a>, <a href="/search/cond-mat?searchtype=author&query=Collins%2C+S+P">S. P. Collins</a>, <a href="/search/cond-mat?searchtype=author&query=McMorrow%2C+D+F">D. F. McMorrow</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1812.08682v2-abstract-short" style="display: inline;"> X-ray magnetic critical scattering measurements and specific heat measurements were performed on the perovskite iridate Sr$_3$Ir$_2$O$_7$. We find that the magnetic interactions close to the N茅el temperature $T_N$ = 283.4(2) K are three-dimensional. This contrasts with previous studies which suggest two-dimensional behaviour like Sr$_2$IrO$_4$. Violation of the Harris criterion ($d谓>2$) means that… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1812.08682v2-abstract-full').style.display = 'inline'; document.getElementById('1812.08682v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1812.08682v2-abstract-full" style="display: none;"> X-ray magnetic critical scattering measurements and specific heat measurements were performed on the perovskite iridate Sr$_3$Ir$_2$O$_7$. We find that the magnetic interactions close to the N茅el temperature $T_N$ = 283.4(2) K are three-dimensional. This contrasts with previous studies which suggest two-dimensional behaviour like Sr$_2$IrO$_4$. Violation of the Harris criterion ($d谓>2$) means that weak disorder becomes relevant. This leads a rounding of the antiferromagnetic phase transition at $T_N$, and modifies the critical exponents relative to the clean system. Specifically, we determine that the critical behaviour of Sr$_3$Ir$_2$O$_7$ is representative of the diluted 3D Ising universality class. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1812.08682v2-abstract-full').style.display = 'none'; document.getElementById('1812.08682v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 4 February, 2019; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 20 December, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2018. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Accepted in Journal of Physics: Condensed Matter</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1612.00890">arXiv:1612.00890</a> <span> [<a href="https://arxiv.org/pdf/1612.00890">pdf</a>, <a href="https://arxiv.org/format/1612.00890">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevB.95.075139">10.1103/PhysRevB.95.075139 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Doping dependence of the magnetic excitations in La$_{2-x}$Sr$_x$CuO$_4$ </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Meyers%2C+D">D. Meyers</a>, <a href="/search/cond-mat?searchtype=author&query=Miao%2C+H">H. Miao</a>, <a href="/search/cond-mat?searchtype=author&query=Walters%2C+A+C">A. C. Walters</a>, <a href="/search/cond-mat?searchtype=author&query=Bisogni%2C+V">V. Bisogni</a>, <a href="/search/cond-mat?searchtype=author&query=Springell%2C+R+S">R. S. Springell</a>, <a href="/search/cond-mat?searchtype=author&query=%C4%8FAstuto%2C+M">M. 膹Astuto</a>, <a href="/search/cond-mat?searchtype=author&query=Dantz%2C+M">M. Dantz</a>, <a href="/search/cond-mat?searchtype=author&query=Pelliciari%2C+J">J. Pelliciari</a>, <a href="/search/cond-mat?searchtype=author&query=Huang%2C+H">H. Huang</a>, <a href="/search/cond-mat?searchtype=author&query=Okamoto%2C+J">J. Okamoto</a>, <a href="/search/cond-mat?searchtype=author&query=Huang%2C+D+J">D. J. Huang</a>, <a href="/search/cond-mat?searchtype=author&query=Hill%2C+J+P">J. P. Hill</a>, <a href="/search/cond-mat?searchtype=author&query=He%2C+X">X. He</a>, <a href="/search/cond-mat?searchtype=author&query=Bo%C5%BEovi%C4%87%2C+I">I. Bo啪ovi膰</a>, <a href="/search/cond-mat?searchtype=author&query=Schmitt%2C+T">T. Schmitt</a>, <a href="/search/cond-mat?searchtype=author&query=Dean%2C+M+P+M">M. P. M. Dean</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1612.00890v1-abstract-short" style="display: inline;"> The magnetic correlations within the cuprates have undergone intense scrutiny as part of efforts to understand high temperature superconductivity. We explore the evolution of the magnetic correlations along the nodal direction of the Brillouin zone in La2-xSrxCuO4, spanning the doping phase diagram from the anti-ferromagnetic Mott insulator at x = 0 to the metallic phase at x = 0.26. Magnetic exci… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1612.00890v1-abstract-full').style.display = 'inline'; document.getElementById('1612.00890v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1612.00890v1-abstract-full" style="display: none;"> The magnetic correlations within the cuprates have undergone intense scrutiny as part of efforts to understand high temperature superconductivity. We explore the evolution of the magnetic correlations along the nodal direction of the Brillouin zone in La2-xSrxCuO4, spanning the doping phase diagram from the anti-ferromagnetic Mott insulator at x = 0 to the metallic phase at x = 0.26. Magnetic excitations along this direction are found to be systematically softened and broadened with doping, at a higher rate than the excitations along the anti-nodal direction. This phenomenology is discussed in terms of the nature of the magnetism in the doped cuprates. Survival of the high energy magnetic excitations, even in the overdoped regime, indicates that these excitations are marginal to pairing, while the influence of the low energy excitations remains ambiguous. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1612.00890v1-abstract-full').style.display = 'none'; document.getElementById('1612.00890v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 December, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">8 pages, 6 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. B 95, 075139 (2017) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1303.5359">arXiv:1303.5359</a> <span> [<a href="https://arxiv.org/pdf/1303.5359">pdf</a>, <a href="https://arxiv.org/format/1303.5359">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Materials Science">cond-mat.mtrl-sci</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1038/nmat3723">10.1038/nmat3723 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Persistence of magnetic excitations in La2-xSrxCuO4 from the undoped insulator to the heavily overdoped non-superconducting metal </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Dean%2C+M+P+M">M. P. M. Dean</a>, <a href="/search/cond-mat?searchtype=author&query=Dellea%2C+G">G. Dellea</a>, <a href="/search/cond-mat?searchtype=author&query=Springell%2C+R+S">R. S. Springell</a>, <a href="/search/cond-mat?searchtype=author&query=Yakhou-Harris%2C+F">F. Yakhou-Harris</a>, <a href="/search/cond-mat?searchtype=author&query=Kummer%2C+K">K. Kummer</a>, <a href="/search/cond-mat?searchtype=author&query=Brookes%2C+N+B">N. B. Brookes</a>, <a href="/search/cond-mat?searchtype=author&query=Liu%2C+X">X. Liu</a>, <a href="/search/cond-mat?searchtype=author&query=Sun%2C+Y+-">Y. -J. Sun</a>, <a href="/search/cond-mat?searchtype=author&query=Strle%2C+J">J. Strle</a>, <a href="/search/cond-mat?searchtype=author&query=Schmitt%2C+T">T. Schmitt</a>, <a href="/search/cond-mat?searchtype=author&query=Braicovich%2C+L">L. Braicovich</a>, <a href="/search/cond-mat?searchtype=author&query=Ghiringhelli%2C+G">G. Ghiringhelli</a>, <a href="/search/cond-mat?searchtype=author&query=Bozovic%2C+I">I. Bozovic</a>, <a href="/search/cond-mat?searchtype=author&query=Hill%2C+J+P">J. P. Hill</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1303.5359v3-abstract-short" style="display: inline;"> One of the most intensely studied scenarios of high-temperature superconductivity (HTS) postulates pairing by exchange of magnetic excitations [1]. Indeed, such excitations have been observed up to around optimal doping in the cuprates [2-7]. In the heavily overdoped regime neutron scattering measurements indicate that magnetic excitations have effectively disappeared [8-10], and this was argued t… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1303.5359v3-abstract-full').style.display = 'inline'; document.getElementById('1303.5359v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1303.5359v3-abstract-full" style="display: none;"> One of the most intensely studied scenarios of high-temperature superconductivity (HTS) postulates pairing by exchange of magnetic excitations [1]. Indeed, such excitations have been observed up to around optimal doping in the cuprates [2-7]. In the heavily overdoped regime neutron scattering measurements indicate that magnetic excitations have effectively disappeared [8-10], and this was argued to cause the demise of HTS with overdoping [1, 8, 10]. Here we use resonant inelastic x-ray scattering (RIXS), which is sensitive to complementary parts of reciprocal space, to measure the evolution of the magnetic excitations in La2-xSrxCuO4 across the entire phase diagram, from a strongly correlated insulator (x = 0) to a non-superconducting metal (x = 0.40). For x = 0, well-defined magnon excitations are observed [11]. These magnons broaden with doping, but they persist with a similar dispersion and comparable intensity all the way to the non-superconducting, heavily overdoped metallic phase. The destruction of HTS with overdoping is therefore caused neither by the general disappearance nor by the overall softening of magnetic excitations; other factor(s), such as the redistribution of spectral weight, must be considered. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1303.5359v3-abstract-full').style.display = 'none'; document.getElementById('1303.5359v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 4 September, 2013; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 21 March, 2013; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2013. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">See Nature Materials http://dx.doi.org/10.1038/nmat3723 for Advanced Online Publication</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Nature Materials 12, 1019-2023 (2013) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1212.3714">arXiv:1212.3714</a> <span> [<a href="https://arxiv.org/pdf/1212.3714">pdf</a>, <a href="https://arxiv.org/format/1212.3714">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Materials Science">cond-mat.mtrl-sci</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevLett.110.147001">10.1103/PhysRevLett.110.147001 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> High-energy magnetic excitations in Bi$_2$Sr$_2$CaCu$_2$O$_{8+未}$: Towards a unified description of the electronic and magnetic degrees of freedom in the cuprates </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Dean%2C+M+P+M">M. P. M. Dean</a>, <a href="/search/cond-mat?searchtype=author&query=James%2C+A+J+A">A. J. A. James</a>, <a href="/search/cond-mat?searchtype=author&query=Springell%2C+R+S">R. S. Springell</a>, <a href="/search/cond-mat?searchtype=author&query=Liu%2C+X">X. Liu</a>, <a href="/search/cond-mat?searchtype=author&query=Monney%2C+C">C. Monney</a>, <a href="/search/cond-mat?searchtype=author&query=Zhou%2C+K+J">K. J. Zhou</a>, <a href="/search/cond-mat?searchtype=author&query=Konik%2C+R+M">R. M. Konik</a>, <a href="/search/cond-mat?searchtype=author&query=Wen%2C+J+S">J. S. Wen</a>, <a href="/search/cond-mat?searchtype=author&query=Xu%2C+Z+J">Z. J. Xu</a>, <a href="/search/cond-mat?searchtype=author&query=Gu%2C+G+D">G. D. Gu</a>, <a href="/search/cond-mat?searchtype=author&query=Strocov%2C+V+N">V. N. Strocov</a>, <a href="/search/cond-mat?searchtype=author&query=Schmitt%2C+T">T. Schmitt</a>, <a href="/search/cond-mat?searchtype=author&query=Hill%2C+J+P">J. P. Hill</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1212.3714v2-abstract-short" style="display: inline;"> We investigate the high-energy magnetic excitation spectrum of the high-$T_c$ cuprate superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+未}$ (Bi-2212) using Cu $L_3$ edge resonant inelastic x-ray scattering (RIXS). Broad, dispersive magnetic excitations are observed, with a zone boundary energy of $\sim$300 meV and a weak dependence on doping. These excitations are strikingly similar to the bosons proposed… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1212.3714v2-abstract-full').style.display = 'inline'; document.getElementById('1212.3714v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1212.3714v2-abstract-full" style="display: none;"> We investigate the high-energy magnetic excitation spectrum of the high-$T_c$ cuprate superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+未}$ (Bi-2212) using Cu $L_3$ edge resonant inelastic x-ray scattering (RIXS). Broad, dispersive magnetic excitations are observed, with a zone boundary energy of $\sim$300 meV and a weak dependence on doping. These excitations are strikingly similar to the bosons proposed to explain the high-energy `kink' observed in photoemission. A calculation of the spin-response based on the ARPES-derived electronic structure and YRZ-quasi-particles reproduces the key features of the observed magnetic dispersions with no adjustable parameters. These results show that it is possible to reconcile the magnetic and electronic properties of the cuprates within a unified framework. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1212.3714v2-abstract-full').style.display = 'none'; document.getElementById('1212.3714v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 21 February, 2013; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 15 December, 2012; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2012. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">To appear in Phys. Rev. Lett. 5 pages, 3 figures, 4 page supplementary info</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. Lett. 110, 147001 (2013) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1208.0018">arXiv:1208.0018</a> <span> [<a href="https://arxiv.org/pdf/1208.0018">pdf</a>, <a href="https://arxiv.org/format/1208.0018">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Materials Science">cond-mat.mtrl-sci</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1038/nmat3409">10.1038/nmat3409 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Spin excitations in a single La$_2$CuO$_4$ layer </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Dean%2C+M+P+M">M. P. M. Dean</a>, <a href="/search/cond-mat?searchtype=author&query=Springell%2C+R+S">R. S. Springell</a>, <a href="/search/cond-mat?searchtype=author&query=Monney%2C+C">C. Monney</a>, <a href="/search/cond-mat?searchtype=author&query=Zhou%2C+K+J">K. J. Zhou</a>, <a href="/search/cond-mat?searchtype=author&query=Bozovic%2C+I">I. Bozovic</a>, <a href="/search/cond-mat?searchtype=author&query=Pereiro%2C+J">J. Pereiro</a>, <a href="/search/cond-mat?searchtype=author&query=Piazza%2C+B+D">B. Dalla Piazza</a>, <a href="/search/cond-mat?searchtype=author&query=Ronnow%2C+H+M">H. M. Ronnow</a>, <a href="/search/cond-mat?searchtype=author&query=Morenzoni%2C+E">E. Morenzoni</a>, <a href="/search/cond-mat?searchtype=author&query=Brink%2C+J+v+d">J. van den Brink</a>, <a href="/search/cond-mat?searchtype=author&query=Schmitt%2C+T">T. Schmitt</a>, <a href="/search/cond-mat?searchtype=author&query=Hill%2C+J+P">J. P. Hill</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1208.0018v1-abstract-short" style="display: inline;"> The dynamics of S=1/2 quantum spins on a 2D square lattice lie at the heart of the mystery of the cuprates \cite{Hayden2004,Vignolle2007,Li2010,LeTacon2011,Coldea2001,Headings2010,Braicovich2010}. In bulk cuprates such as \LCO{}, the presence of a weak interlayer coupling stabilizes 3D N茅el order up to high temperatures. In a truly 2D system however, thermal spin fluctuations melt long range order… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1208.0018v1-abstract-full').style.display = 'inline'; document.getElementById('1208.0018v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1208.0018v1-abstract-full" style="display: none;"> The dynamics of S=1/2 quantum spins on a 2D square lattice lie at the heart of the mystery of the cuprates \cite{Hayden2004,Vignolle2007,Li2010,LeTacon2011,Coldea2001,Headings2010,Braicovich2010}. In bulk cuprates such as \LCO{}, the presence of a weak interlayer coupling stabilizes 3D N茅el order up to high temperatures. In a truly 2D system however, thermal spin fluctuations melt long range order at any finite temperature \cite{Mermin1966}. Further, quantum spin fluctuations transfer magnetic spectral weight out of a well-defined magnon excitation into a magnetic continuum, the nature of which remains controversial \cite{Sandvik2001,Ho2001,Christensen2007,Headings2010}. Here, we measure the spin response of \emph{isolated one-unit-cell thick layers} of \LCO{}. We show that coherent magnons persist even in a single layer of \LCO{} despite the loss of magnetic order, with no evidence for resonating valence bond (RVB)-like spin correlations \cite{Anderson1987,Hsu1990,Christensen2007}. Thus these excitations are well described by linear spin wave theory (LSWT). We also observe a high-energy magnetic continuum in the isotropic magnetic response. This high-energy continuum is not well described by 2 magnon LSWT, or indeed any existing theories. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1208.0018v1-abstract-full').style.display = 'none'; document.getElementById('1208.0018v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 31 July, 2012; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2012. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Revised version to appear in Nature Materials; 6 pages,4 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Nature Materials 11, 850-854 (2012) </p> </li> </ol> <div class="is-hidden-tablet">  <span class="help" 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