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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/2308.14091">arXiv:2308.14091</a> <span> [<a href="https://arxiv.org/pdf/2308.14091">pdf</a>, <a href="https://arxiv.org/format/2308.14091">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> <p class="title is-5 mathjax"> The Two-Particle Self-Consistent Approach for Multiorbital models: application to the Emery model </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Gauvin-Ndiaye%2C+C">C. Gauvin-Ndiaye</a>, <a href="/search/cond-mat?searchtype=author&query=Leblanc%2C+J">J. Leblanc</a>, <a href="/search/cond-mat?searchtype=author&query=Marin%2C+S">S. Marin</a>, <a href="/search/cond-mat?searchtype=author&query=Martin%2C+N">N. Martin</a>, <a href="/search/cond-mat?searchtype=author&query=Lessnich%2C+D">D. Lessnich</a>, <a href="/search/cond-mat?searchtype=author&query=Tremblay%2C+A+-+S">A. -M. S. Tremblay</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="2308.14091v1-abstract-short" style="display: inline;"> The Emery model, or three-band Hubbard model, is a Hamiltonian that is thought to contain much of the physics of cuprate superconductors. This model includes two noninteracting $p$ orbitals and one interacting $d$ orbital per unit cell. Few methods that can solve multiorbital interacting Hamiltonians reliably and efficiently exist. Here, we introduce an application of the two particle self-consist… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2308.14091v1-abstract-full').style.display = 'inline'; document.getElementById('2308.14091v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2308.14091v1-abstract-full" style="display: none;"> The Emery model, or three-band Hubbard model, is a Hamiltonian that is thought to contain much of the physics of cuprate superconductors. This model includes two noninteracting $p$ orbitals and one interacting $d$ orbital per unit cell. Few methods that can solve multiorbital interacting Hamiltonians reliably and efficiently exist. Here, we introduce an application of the two particle self-consistent (TPSC) approach to the Emery model. We construct this method within the framework of the TPSC+DMFT method, which can be seen as a way to introduce nonlocal corrections to dynamical mean-field theory (DMFT). We show that interacting orbital densities, rather than the noninteracting ones, must be used in the calculations. For the Emery model, we find that at constant bare interaction $U$, the vertex for spin fluctuations, $U_{sp}$, decreases rapidly with filling. This may be one of the factors that contributes to electron-doped cuprates appearing less correlated than hole-doped ones. More generally, our work opens the road to the application of the TPSC approach to spin fluctuations in multiorbital models. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2308.14091v1-abstract-full').style.display = 'none'; document.getElementById('2308.14091v1-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> 27 August, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2023. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2307.15652">arXiv:2307.15652</a> <span> [<a href="https://arxiv.org/pdf/2307.15652">pdf</a>, <a href="https://arxiv.org/format/2307.15652">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.109.075143">10.1103/PhysRevB.109.075143 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Spin Hall conductivity in the Kane-Mele-Hubbard model at finite temperature </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Lessnich%2C+D">D. Lessnich</a>, <a href="/search/cond-mat?searchtype=author&query=Gauvin-Ndiaye%2C+C">C. Gauvin-Ndiaye</a>, <a href="/search/cond-mat?searchtype=author&query=Valent%C3%AD%2C+R">Roser Valent铆</a>, <a href="/search/cond-mat?searchtype=author&query=Tremblay%2C+A+-+S">A. -M. S. Tremblay</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="2307.15652v2-abstract-short" style="display: inline;"> The Kane-Mele model is known to show a quantized spin Hall conductivity at zero temperature. Including Hubbard interactions at each site leads to a quantum phase transition to an XY antiferromagnet at sufficiently high interaction strength. Here, we use the two-particle self-consistent approach (TPSC), which we extend to include spin-orbit coupling, to investigate the Kane-Mele-Hubbard model at fi… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2307.15652v2-abstract-full').style.display = 'inline'; document.getElementById('2307.15652v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2307.15652v2-abstract-full" style="display: none;"> The Kane-Mele model is known to show a quantized spin Hall conductivity at zero temperature. Including Hubbard interactions at each site leads to a quantum phase transition to an XY antiferromagnet at sufficiently high interaction strength. Here, we use the two-particle self-consistent approach (TPSC), which we extend to include spin-orbit coupling, to investigate the Kane-Mele-Hubbard model at finite temperature and half-filling. TPSC is a weak to intermediate coupling approach capable of calculating a frequency- and momentum-dependent self-energy from spin and charge fluctuations. We present results for the spin Hall conductivity and correlation lengths for antiferromagnetic spin fluctuations for different values of temperature, spin-orbit coupling and Hubbard interaction. The vertex corrections, which here are analogues of Maki-Thompson contributions, show a strong momentum dependence and give a large contribution in the vicinity of the phase transition at all temperatures. Their inclusion is necessary to observe the quantization of the spin Hall conductivity for the interacting system in the zero temperature limit. At finite temperature, increasing the Hubbard interaction leads to a decrease of the spin Hall conductivity. This decrease can be explained by band-gap renormalization from scattering of electrons on antiferromagnetic spin fluctuations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2307.15652v2-abstract-full').style.display = 'none'; document.getElementById('2307.15652v2-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> 20 February, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 28 July, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2023. </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">11 pages, 8 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 109, 075143 (2024) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2211.01400">arXiv:2211.01400</a> <span> [<a href="https://arxiv.org/pdf/2211.01400">pdf</a>, <a href="https://arxiv.org/format/2211.01400">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="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/PhysRevB.107.235101">10.1103/PhysRevB.107.235101 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Improved effective vertices in the multi-orbital Two-Particle Self-Consistent method from Dynamical Mean-Field Theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Zantout%2C+K">Karim Zantout</a>, <a href="/search/cond-mat?searchtype=author&query=Backes%2C+S">Steffen Backes</a>, <a href="/search/cond-mat?searchtype=author&query=Razpopov%2C+A">Aleksandar Razpopov</a>, <a href="/search/cond-mat?searchtype=author&query=Lessnich%2C+D">Dominik Lessnich</a>, <a href="/search/cond-mat?searchtype=author&query=Valenti%2C+R">Roser Valenti</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="2211.01400v2-abstract-short" style="display: inline;"> In this work we present a multi-orbital form of the Two-Particle Self-Consistent approach (TPSC), here the effective local and static irreducible interaction vertices are determined by means of the Dynamical Mean-Field Theory (DMFT). This approach replaces the approximate ansatz equations for the double occupations $\langle n^{}_{伪,蟽}n^{}_{尾,蟽'}\rangle$ by sampling them directly for the same model… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2211.01400v2-abstract-full').style.display = 'inline'; document.getElementById('2211.01400v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2211.01400v2-abstract-full" style="display: none;"> In this work we present a multi-orbital form of the Two-Particle Self-Consistent approach (TPSC), here the effective local and static irreducible interaction vertices are determined by means of the Dynamical Mean-Field Theory (DMFT). This approach replaces the approximate ansatz equations for the double occupations $\langle n^{}_{伪,蟽}n^{}_{尾,蟽'}\rangle$ by sampling them directly for the same model using DMFT. Compared to the usual Hartree-Fock like ansatz, this leads to more accurate local vertices in the weakly correlated regime, and provides access to stronger correlated systems that were previously out of reach. This approach is extended by replacing the local component of the TPSC self-energy by the DMFT impurity self-energy, which results in an improved self-energy that incorporates strong local correlations but retains a non-trivial momentum-dependence. We find that this combination of TPSC and DMFT provides a significant improvement over the multi-orbital formulation of multi-orbital TPSC, as it allows to determine the components of the spin vertex without artificial symmetry assumptions, and opens the possibility to include the transversal particle-hole channel. The new approach is also able to remove unphysical divergences in the charge vertices in TPSC. We find a general trend that lower temperatures can be accessed in the calculation. Benchmarking single-particle quantities such as the local spectral function with other many-body methods we find significant improvement in the more strongly correlated regime. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2211.01400v2-abstract-full').style.display = 'none'; document.getElementById('2211.01400v2-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> 14 June, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 2 November, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2022. </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">14 pages, 7 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 107, 235101 (2023) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2103.02624">arXiv:2103.02624</a> <span> [<a href="https://arxiv.org/pdf/2103.02624">pdf</a>, <a href="https://arxiv.org/format/2103.02624">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.104.085116">10.1103/PhysRevB.104.085116 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Elementary band representations for the single-particle Green's function of interacting topological insulators </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Lessnich%2C+D">Dominik Lessnich</a>, <a href="/search/cond-mat?searchtype=author&query=Winter%2C+S+M">Stephen M. Winter</a>, <a href="/search/cond-mat?searchtype=author&query=Iraola%2C+M">Mikel Iraola</a>, <a href="/search/cond-mat?searchtype=author&query=Vergniory%2C+M+G">Maia G. Vergniory</a>, <a href="/search/cond-mat?searchtype=author&query=Valent%C3%AD%2C+R">Roser Valent铆</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="2103.02624v2-abstract-short" style="display: inline;"> We discuss the applicability of elementary band representations (EBRs) to diagnose spatial- and time-reversal-symmetry protected topological phases in interacting insulators in terms of their single-particle Green's functions. We do so by considering an auxiliary non-interacting system $H_{\textrm{T}}(\mathbf{k}) = -G^{-1}(0, \mathbf{k})$, known as the topological Hamiltonian, whose bands can be l… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2103.02624v2-abstract-full').style.display = 'inline'; document.getElementById('2103.02624v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2103.02624v2-abstract-full" style="display: none;"> We discuss the applicability of elementary band representations (EBRs) to diagnose spatial- and time-reversal-symmetry protected topological phases in interacting insulators in terms of their single-particle Green's functions. We do so by considering an auxiliary non-interacting system $H_{\textrm{T}}(\mathbf{k}) = -G^{-1}(0, \mathbf{k})$, known as the topological Hamiltonian, whose bands can be labeled by EBRs. This labeling is stable if neither (i) the gap in the spectral function at zero frequency closes, (ii) the Green's function has a zero at zero frequency or (iii) the Green's function breaks a protecting symmetry. We demonstrate the use of EBRs applied to the Green's function on the one-dimensional Su-Schrieffer-Heeger model with Hubbard interactions, which we solve by exact diagonalization for a finite number of unit cells. Finally, the use of EBRs for the Green's function to diagnose so-called symmetry protected topological phases is discussed, but remains an open question. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2103.02624v2-abstract-full').style.display = 'none'; document.getElementById('2103.02624v2-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> 30 August, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 3 March, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2021. </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">12 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 104, 085116 (2021) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2101.04135">arXiv:2101.04135</a> <span> [<a href="https://arxiv.org/pdf/2101.04135">pdf</a>, <a href="https://arxiv.org/format/2101.04135">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.104.195125">10.1103/PhysRevB.104.195125 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Towards a Topological Quantum Chemistry description of correlated systems: the case of the Hubbard diamond chain </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Iraola%2C+M">Mikel Iraola</a>, <a href="/search/cond-mat?searchtype=author&query=Heinsdorf%2C+N">Niclas Heinsdorf</a>, <a href="/search/cond-mat?searchtype=author&query=Tiwari%2C+A">Apoorv Tiwari</a>, <a href="/search/cond-mat?searchtype=author&query=Lessnich%2C+D">Dominik Lessnich</a>, <a href="/search/cond-mat?searchtype=author&query=Mertz%2C+T">Thomas Mertz</a>, <a href="/search/cond-mat?searchtype=author&query=Ferrari%2C+F">Francesco Ferrari</a>, <a href="/search/cond-mat?searchtype=author&query=Fischer%2C+M+H">Mark H. Fischer</a>, <a href="/search/cond-mat?searchtype=author&query=Winter%2C+S+M">Stephen M. Winter</a>, <a href="/search/cond-mat?searchtype=author&query=Pollmann%2C+F">Frank Pollmann</a>, <a href="/search/cond-mat?searchtype=author&query=Neupert%2C+T">Titus Neupert</a>, <a href="/search/cond-mat?searchtype=author&query=Valent%C3%AD%2C+R">Roser Valent铆</a>, <a href="/search/cond-mat?searchtype=author&query=Vergniory%2C+M+G">Maia G. Vergniory</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="2101.04135v1-abstract-short" style="display: inline;"> The recently introduced topological quantum chemistry (TQC) framework has provided a description of universal topological properties of all possible band insulators in all space groups based on crystalline unitary symmetries and time reversal. While this formalism filled the gap between the mathematical classification and the practical diagnosis of topological materials, an obvious limitation is t… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2101.04135v1-abstract-full').style.display = 'inline'; document.getElementById('2101.04135v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2101.04135v1-abstract-full" style="display: none;"> The recently introduced topological quantum chemistry (TQC) framework has provided a description of universal topological properties of all possible band insulators in all space groups based on crystalline unitary symmetries and time reversal. While this formalism filled the gap between the mathematical classification and the practical diagnosis of topological materials, an obvious limitation is that it only applies to weakly interacting systems-which can be described within band theory. It is an open question to which extent this formalism can be generalized to correlated systems that can exhibit symmetry protected topological phases which are not adiabatically connected to any band insulator. In this work we address the many facettes of this question by considering the specific example of a Hubbard diamond chain. This model features a Mott insulator, a trivial insulating phase and an obstructed atomic limit phase. Here we discuss the nature of the Mott insulator and determine the phase diagram and topology of the interacting model with infinite density matrix renormalization group calculations, variational Monte Carlo simulations and with many-body topological invariants. We then proceed by considering a generalization of the TQC formalism to Green's functions combined with the concept of topological Hamiltonian to identify the topological nature of the phases, using cluster perturbation theory to calculate the Green's functions. The results are benchmarked with the above determined phase diagram and we discuss the applicability and limitations of the approach and its possible extensions. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2101.04135v1-abstract-full').style.display = 'none'; document.getElementById('2101.04135v1-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> 11 January, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2021. </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">16 pages, 13 figures</span> </p> </li> </ol> <div class="is-hidden-tablet">  <span class="help" style="display: inline-block;"><a href="https://github.com/arXiv/arxiv-search/releases">Search v0.5.6 released 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