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Using large-scale dynamical cluster quantum Monte Carlo simulations, we study the Lifshitz transition of the two dimensional Hubbard model with next-nearest-neighbor hopping ($t'$), chemical potential and temperature as control parameters.…

Strongly Correlated Electrons · Physics 2012-11-05 Kuang-Shing Chen , Zi Yang Meng , Thomas Pruschke , Juana Moreno , Mark Jarrell

Previous studies on the generalized XY model have concentrated on the equilibrium phase diagram and the equilibrium nature of distinct phases under varying parameter conditions. We direct our attention towards examining the systems…

Soft Condensed Matter · Physics 2024-04-19 Partha Sarathi Mondal , Pawan Kumar Mishra , Shradha Mishra

The two-dimensional Hubbard model on the square lattice is studied in the presence of lattice distortions in the adiabatic approximation. The self energy is computed within perturbation theory up to second order, which provides a way for…

Strongly Correlated Electrons · Physics 2009-02-26 C. A. Lamas

We study the low-temperature critical behavior of the one-dimensional Hubbard model near half filling caused by enhanced antiferromagnetic fluctuations. We use a mean-field-type approximation with a two-particle self-consistency…

Strongly Correlated Electrons · Physics 2021-09-10 Václav Janiš , Antonín Klíč , Jiawei Yan

The spin-fermion (SF) model postulates that the dominant coupling between low-energy fermions in near critical metals is mediated by collective spin fluctuations (paramagnons) peaked at the N\'{e}el wave vector, ${\bf Q}_N$, connecting hot…

Strongly Correlated Electrons · Physics 2024-11-05 R. Rossi , F. Simkovic , M. Ferrero , A. Georges , A. M. Tsvelik , N. V. Prokof'ev , I. S. Tupitsyn

The physical properties of high-$T_c$ superconductors are affected by spatial inhomogeneities introduced by impurities. In addition, superconductivity and electronic nematicity seem intertwined in these materials. To address these…

Strongly Correlated Electrons · Physics 2015-12-23 Alexandre Foley , David Sénéchal

We study the correlation-induced deformation of Fermi surfaces by means of a new diagrammatic method which allows for the analytical evaluation of Gutzwiller wave functions in finite dimensions. In agreement with renormalization-group…

Strongly Correlated Electrons · Physics 2015-05-30 Jörg Bünemann , Tobias Schickling , Florian Gebhard

We suggest a method for an approximative solution of the two dimensional Hubbard model close to half filling. It is based on partial bosonisation, supplemented by an investigation of the functional renormalisation group flow. The inclusion…

Strongly Correlated Electrons · Physics 2009-11-10 T. Baier , E. Bick , C. Wetterich

In a recent publication [Chen et al., Phys. Rev. B 86, 165136 (2012)], we identified a line of Lifshitz transition points separating the Fermi liquid and pseudogap regions in the hole-doped two dimensional Hubbard model. Here we extend the…

Superconductivity · Physics 2014-01-16 Kuang-Shing Chen , Zi Yang Meng , Shu-Xiang Yang , Thomas Pruschke , Juana Moreno , Mark Jarrell

We study the anisotropic two-dimensional Hubbard model at and near half filling within a functional renormalization group method, focusing on the structure of momentum-dependent correlations which grow strongly upon approaching a critical…

Strongly Correlated Electrons · Physics 2007-05-23 D. Rohe , A. Georges

We study a two species fermion mixture with different populations on a square lattice modeled by a Hubbard Hamiltonian with on-site inter-species repulsive interaction. Such a model can be realized in a cold atom system with fermionic atoms…

Strongly Correlated Electrons · Physics 2013-02-25 Chen-Yen Lai , Chuntai Shi , Shan-Wen Tsai

Many strongly correlated systems exhibit strange metallic behavior in certain parameter regimes characterized by anomalous transport properties that are irreconcilable with a Fermi-liquid-like description in terms of quasiparticles. The…

Strongly Correlated Electrons · Physics 2024-10-29 Andrew A. Allocca

We study the attractive Hubbard model with mass imbalance to clarify low temperature properties of the fermionic mixtures in the optical lattice. By combining dynamical mean-field theory with the continuous-time quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2012-05-07 Nayuta Takemori , Akihisa Koga

We investigate the interplay between superconductivity and nematic order in a two-dimensional electron gas with competing pairing and quadrupolar forward-scattering interactions. The model includes both $s$-wave and $d$-wave superconducting…

Superconductivity · Physics 2026-04-22 Nei Lopes , Guilherme da Silva do Vale , Daniel G. Barci

Single-particle excitation spectra of the two-dimensional Hubbard model on the square lattice near half filling and at zero temperature are investigated on the basis of the self-consistent projection operator method. The method guarantees a…

Strongly Correlated Electrons · Physics 2009-11-13 Yoshiro Kakehashi , Peter Fulde

The electronic nematic phase occurs when the point-group symmetry of the lattice structure is broken, due to electron-electron interactions. We study a model for the nematic phase on a square lattice with emphasis on the phase transition…

Strongly Correlated Electrons · Physics 2009-11-10 Hae-Young Kee , Eugene H. Kim , Chung-Hou Chung

Near zero temperature, quantum magnetism can non-trivially arise from short-range interactions, but the occurrence of magnetic order depends crucially on the interplay of interactions, lattice geometry, dimensionality and doping. Even…

Quantum Gases · Physics 2017-05-03 J. H. Drewes , L. A. Miller , E. Cocchi , C. F. Chan , D. Pertot , F. Brennecke , M. Köhl

The fermionic Hubbard model (FHM)[1], despite its simple form, captures essential features of strongly correlated electron physics. Ultracold fermions in optical lattices[2, 3] provide a clean and well-controlled platform for simulating…

While the exact phase diagram of the Fermi-Hubbard model remains poorly understood despite decades of progress, nearly 60 years ago, Nagaoka proved that a single dopant in an otherwise half-filled Hubbard system can bring about…

Strongly Correlated Electrons · Physics 2025-06-12 Robin C. Newby , Ehsan Khatami

Whether the ground state of the square lattice Hubbard model exhibits superconductivity remains a major open question, central to understanding high temperature cuprate superconductors and ultra-cold fermions in optical lattices. Numerical…

Superconductivity · Physics 2025-11-13 Christopher Roth , Ao Chen , Anirvan Sengupta , Antoine Georges