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We study Hilbert space fragmentation in the extended Fermi-Hubbard model with nearest and next-nearest-neighbor interactions. Using a generalized spin/mover picture and saddle point methods, we derive lower bounds for the scaling of the…

Strongly Correlated Electrons · Physics 2022-12-06 Philipp Frey , Lucas Hackl , Stephan Rachel

The interplay between magnetic and superconducting states on a square lattice is studied using the extended Hubbard model, which takes into account the attraction of electrons located at nearest neighbor sites. Ferro-, antiferro-, and…

Strongly Correlated Electrons · Physics 2022-07-20 V. F. Gilmutdinov , M. A. Timirgazin , A. K. Arzhnikov

We have rigorously shown that a strong Hubbard repulsion can cause superconductivity. The model, which has a particular set of local symmetries, manifests the phase diagram of many unconventional superconductors; anti-ferromagnetism…

Superconductivity · Physics 2019-04-16 Manjinder Kainth , M. W. Long

An extended Hubbard model on a two-leg ladder is numerically studied by means of the quantum Monte Carlo techniques. The model we study has the nearest-neighbor interactions which are repulsive along chains and attractive for rungs. The…

Strongly Correlated Electrons · Physics 2009-10-30 Tomo Munehisa , Yasuko Munehisa

We compute the ground-state phase diagram of the Hubbard and frustrated Hubbard models on the square lattice with density matrix embedding theory using clusters of up to 16 sites. We provide an error model to estimate the reliability of the…

Strongly Correlated Electrons · Physics 2016-01-27 Bo-Xiao Zheng , Garnet Kin-Lic Chan

Superconductivity was recently observed in boron-doped ($\sqrt{3}\times\sqrt{3}$)Sn/Si(111). The material can be described by an extended Hubbard model on a triangular lattice. Here, we use the random-phase approximation to investigate the…

Superconductivity · Physics 2022-08-23 Mehdi Biderang , Mohammad-Hossein Zare , Jesko Sirker

Detailed analysis of the magnetic properties of the Hubbard model within dynamical mean-field theory (DMFT) is presented. Using a RPA-like decoupling of two-particle propagators we derive a universal form for susceptibilities, which…

Strongly Correlated Electrons · Physics 2012-01-06 Sebastian Schmitt , Norbert Grewe , Torben Jabben

We report the results of exact diagonalization studies of Hubbard models on a $4\times 4$ square lattice with periodic boundary conditions and various degrees and patterns of inhomogeneity, which are represented by inequivalent hopping…

Superconductivity · Physics 2009-11-13 Wei-Feng Tsai , Hong Yao , Andreas Laeuchli , Steven A. Kivelson

Combining the complementary capabilities of two of the most powerful modern computational methods, we find superconductivity in both the electron- and hole-doped regimes of the two-dimensional Hubbard model (with next nearest neighbor…

Superconductivity · Physics 2024-05-13 Hao Xu , Chia-Min Chung , Mingpu Qin , Ulrich Schollwöck , Steven R. White , Shiwei Zhang

Attractive non-local interactions jointly with repulsive local interaction in a microscopic modelling of electronic Fermi liquids generate a competition between an enhancement of the static charge susceptibility---ultimately signalling…

Strongly Correlated Electrons · Physics 2016-12-13 Raymond Fresard , Kevin Steffen , Thilo Kopp

The behavior of the ground-state fidelity susceptibility in the vicinity of a quantum critical point is investigated. We derive scaling relations describing its singular behavior in the quantum critical regime. Unlike it has been found in…

Strongly Correlated Electrons · Physics 2010-02-18 A. Fabricio Albuquerque , Fabien Alet , Clément Sire , Sylvain Capponi

We consider a small metallic grain coupled to a superconductor by a tunnel contact. We study the interplay between proximity and charging effects in the presence of the external magnetic field. Employing the adiabatic approximation we…

Superconductivity · Physics 2007-05-23 P. M. Ostrovsky , Ya. V. Fominov , M. V. Feigel'man

We generalize the two-particle self-consistent approach (TPSC) to study the extended Hubbard model, where nearest-neighbor interaction is present in addition to the usual local screened interaction. Similarities and differences between the…

Strongly Correlated Electrons · Physics 2009-11-11 B. Davoudi , A. -M. S. Tremblay

Correlated materials are extremely sensitive to external stimuli, such as temperature or pressure. Describing the electronic properties of such systems often requires applying many-body techniques to effective low energy problems in the…

Strongly Correlated Electrons · Physics 2009-07-09 Jan M. Tomczak , T. Miyake , R. Sakuma , F. Aryasetiawan

The Hubbard model extended by either nearest-neighbour Coulomb correlation and/or nearest neighbour Heisenberg exchange is solved analytically for a triangle and tetrahedron. All eigenvalues and eigenvectors are given as functions of the…

Strongly Correlated Electrons · Physics 2009-11-13 R. Schumann

We investigate the effects of stealthy hyperuniform bond distributions on the electronic and magnetic properties of the Hubbard model on the honeycomb lattice. Hyperuniform structures, distinct from random and quasiperiodic ones, have…

Strongly Correlated Electrons · Physics 2026-04-22 Akihisa Koga , Takanori Sugimoto

The leading superconducting instabilities of the two-dimensional extended repulsive one-band Hubbard model within spin-fluctuation pairing theory depend sensitively on electron density, band and interaction parameters. We map out the phase…

Superconductivity · Physics 2023-01-02 Mercè Roig , Astrid T. Rømer , P. J. Hirschfeld , Brian M. Andersen

Within the Green's function and equations of motion formalism it is possible to exactly solve a large class of models useful for the study of strongly correlated systems. Here, we present the exact solution of the one-dimensional extended…

Strongly Correlated Electrons · Physics 2009-04-24 F. Mancini , F. P. Mancini

We investigate, by numerically calculating the charge stiffness, the effects of random diagonal disorder and electron-electron interaction on the nature of the ground state in the 2D Hubbard model through the finite size exact…

Strongly Correlated Electrons · Physics 2009-10-31 R. Kotlyar , S. Das Sarma

We use a mean-field (Hartree-like) approach to study the conductance of a strongly localized electron system in two dimensions. We find a crossover between a regime where Coulomb interactions modify the conductance significantly to a regime…

Disordered Systems and Neural Networks · Physics 2015-05-14 Ariel Amir , Yuval Oreg , Yoseph Imry
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