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Motivated by exploring the effect of interactions on Chern insulators, and by recent experiments realizing topological bands for ultracold atoms in synthetic gauge fields, we study the honeycomb lattice Haldane-Hubbard model of spin-$1/2$…

Strongly Correlated Electrons · Physics 2016-03-08 V. S. Arun , R. Sohal , C. Hickey , A. Paramekanti

Systems of fermions described by the three-dimensional (3D) repulsive Hubbard model on a cubic lattice have recently attracted considerable attention due to their possible experimental realization via cold atoms in an optical lattice.…

Strongly Correlated Electrons · Physics 2013-09-20 Jie Xu , Simone Chiesa , Eric J. Walter , Shiwei Zhang

The Hubbard model in the strong-coupling regime is mainly studied by Kondo-lattice theory or 1/d expansion theory, with d the spatial dimensionality. In two dimensions and higher, the ground state within the Hilbert subspace with no order…

Strongly Correlated Electrons · Physics 2007-07-03 Fusayoshi J. Ohkawa

The ground state of the two-dimensional three-band Hubbard model in oxide superconductors is investigated by using the variational Monte Carlo method. The Gutzwiller-projected BCS and spin- density wave (SDW) functions are employed in the…

Strongly Correlated Electrons · Physics 2009-11-07 Takashi Yanagisawa , Soh Koike , Kunihiko Yamaji

Understanding competing instabilities in systems with correlated fermions remains one of the holy grails of modern condensed matter physics. Among the fermionic lattice models used to this effect, the extended Hubbard model occupies a prime…

Strongly Correlated Electrons · Physics 2024-01-09 E. Linnér , C. Dutreix , S. Biermann , E. A. Stepanov

For the recently discovered cuprate superconductor $\mathrm{Ba_{2}CuO_{3+\delta}}$, we propose a lattice structure which resembles the model considered by Lieb to represent the vastly oxygen-deficient material. We first investigate the…

The doped quantum spin liquid on the kagome lattice provides a fascinating platform to explore exotic quantum states, such as the reported holon Wigner crystal at low doping. By extending the doping range to $\delta = 0.027$ - $0.36$, we…

Strongly Correlated Electrons · Physics 2025-12-01 Xu-Yan Jia , Wen Huang , D. N. Sheng , Shou-Shu Gong

A variational ground state of the repulsive Hubbard model on a square lattice is investigated numerically for an intermediate coupling strength (U = 8t) and for moderate sizes (from 6 x 6 to 10 x 10). Our ansatz is clearly superior to other…

Strongly Correlated Electrons · Physics 2009-11-13 D. Eichenberger , D. Baeriswyl

We investigate the quantum phase diagram of t-J model on triangular lattice at 1/2 doping with various lattice sizes by using a combination of density matrix renormalization group (DMRG), variational Monte Carlo and quantum field theories.…

Strongly Correlated Electrons · Physics 2016-05-02 Bing Ye , Andrej Mesaros , Ying Ran

The triangular-lattice Fermi-Hubbard model has been extensively investigated in the literature due to its connection to chiral spin states and unconventional superconductivity. Previous simulations of the ground state of the doped system…

Strongly Correlated Electrons · Physics 2023-08-02 Vinicius Zampronio , Tommaso Macrì

Searching for unconventional Cooper pairing states has been at the heart of superconductivity research since the discovery of BCS superconductors. In particular, spin-triplet odd-parity pairing states were recently revisited due to the…

Superconductivity · Physics 2015-05-14 Zi Yang Meng , Fan Yang , Kuang-Shing Chen , Hong Yao , Hae-Young Kee

Moir\'e materials provide exciting platforms for studying the interplay of strong electronic correlation and large magnetic flux effects. We study the lightly doped Hofstadter-Hubbard model on a triangular lattice through large-scale…

Strongly Correlated Electrons · Physics 2025-09-04 Feng Chen , Wen O. Wang , Jia-Xin Zhang , Leon Balents , D. N. Sheng

We consider electrons on a honeycomb or triangular lattice doped to the saddle point of the bandstructure. We assume system parameters are such that spin density wave (SDW) order emerges below a temperature $T_N$ and investigate the nature…

Strongly Correlated Electrons · Physics 2013-05-15 Rahul Nandkishore , Gia-Wei Chern , Andrey V. Chubukov

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

Inspired by recent advances in the fabrication of surface superlattices, and in particular the triangular lattice made of tin (Sn) atoms on silicon, we study an extended Hubbard mode on a triangular lattice. The observations of magnetism in…

Strongly Correlated Electrons · Physics 2025-02-17 Kun Woo Kim , T. Pereg-Barnea

Using first-principle Hybrid-Monte-Carlo (HMC) simulations, we carry out an unbiased study of the competition between spin-density wave (SDW) and charge-density wave (CDW) order in the extended Hubbard model on the two dimensional hexagonal…

Strongly Correlated Electrons · Physics 2018-12-19 Pavel Buividovich , Dominik Smith , Maksim Ulybyshev , Lorenz von Smekal

As a model of a novel superconductor Na_xCoO_2\cdotyH_2O, a single-band t-J model on a triangular lattice is studied, using a variational Monte Carlo method. We calculate the energies of various superconducting (SC) states, changing the…

Superconductivity · Physics 2009-11-10 Tsutomu Watanabe , Hisatoshi Yokoyama , Yukio Tanaka , Jun-ichiro Inoue , Masao Ogata

We devise a computational approach to the Hubbard model that captures the strong coupling dynamics arising when the Fermi level is at a Van Hove singularity in the density of states. We rely on an approximate degeneracy among the many-body…

Strongly Correlated Electrons · Physics 2009-10-31 J. Gonzalez

Using the strong coupling diagram technique, we investigate the extended Hubbard model on a two-dimensional square lattice. This approach allows for charge and spin fluctuations and a short-range antiferromagnetic order at nonzero…

Strongly Correlated Electrons · Physics 2023-10-19 A Sherman

We introduce a strongly correlated mean-field theory of the ionic Hubbard model on the triangular lattice with alternating stripes of site energy using Barnes-Coleman slave bosons. We study the paramagnetic phases of this theory at three…

Strongly Correlated Electrons · Physics 2013-05-29 B. J. Powell , J. Merino , Ross H. McKenzie