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At strong repulsion, the triangular-lattice Hubbard model is described by $s=1/2$ spins with nearest-neighbor antiferromagnetic Heisenberg interactions and exhibits conventional 120$^\circ$ order. Using the infinite density matrix…

Strongly Correlated Electrons · Physics 2021-09-07 Tessa Cookmeyer , Johannes Motruk , Joel E. Moore

The Quantum Monte Carlo simulations of the ionic Hubbard model on a two-dimensional square lattice at half filling were performed. The method based on the direct-space, proposed by Suzuki and al., Hirsch and al., was used. Cycles of…

Strongly Correlated Electrons · Physics 2010-02-02 Bernard Martinie

The helical edge states of time-reversal invariant two-dimensional topological insulators are protected against backscattering in idealized models. In more realistic scenarios with a shallow confining potential at the sample boundary,…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Niels John , Adrian Del Maestro , Bernd Rosenow

Effects of electron correlations on a two dimensional quantum spin Hall (QSH) system are studied. We examine possible phases of a generalized Hubbard model on a bilayer honeycomb lattice with a spin-orbit coupling and short range…

Strongly Correlated Electrons · Physics 2008-09-15 Michael W. Young , Sung-Sik Lee , Catherine Kallin

Using finite-temperature determinantal quantum Monte Carlo simulations, we examine the thermodynamic properties of the extended Hubbard model on the half-filled square lattice in the Slater regime at intermediate coupling. We consider both…

Strongly Correlated Electrons · Physics 2022-10-19 Alexander Sushchyev , Stefan Wessel

In this paper, we investigate the topological Hubbard model - the spinful Haldane model with on-site interaction on honeycomb lattice with spin rotation symmetry by using slave-rotor approach and find that chiral spin liquid exists in such…

Strongly Correlated Electrons · Physics 2015-05-20 Jing He , Su-Peng Kou , Ying Liang , Shiping Feng

The search for topologically non-trivial states of matter has become an important goal for condensed matter physics. Recently, a new class of topological insulators has been proposed. These topological insulators have an insulating gap in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Markus Koenig , Hartmut Buhmann , Laurens W. Molenkamp , Taylor L. Hughes , Chao-Xing Liu , Xiao-Liang Qi , Shou-Cheng Zhang

Coulomb interaction has important consequences on the physics of quantum spin Hall edge states, weakening the topological protection via two-particle scattering and renormalizing both the velocity and charge of collective plasmon modes…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Alexandre Gourmelon , Hiroshi Kamata , Jean-Marc Berroir , Gwendal Fève , Bernard Plaçais , Erwann Bocquillon

The quintessential two-dimensional lattice model that describes the competition between the kinetic energy of electrons and their short-range repulsive interactions is the repulsive Hubbard model. We study a time-reversal symmetric variant…

Strongly Correlated Electrons · Physics 2012-01-26 Titus Neupert , Luiz Santos , Shinsei Ryu , Claudio Chamon , Christopher Mudry

Motivated by the recent discovery of a spin liquid phase for the Hubbard model on the honeycomb lattice at half-filling, we apply both perturbative and non-perturbative techniques to derive effective spin Hamiltonians describing the…

Strongly Correlated Electrons · Physics 2012-12-05 H-Y. Yang , A. F. Albuquerque , S. Capponi , A. M. Läuchli , K. P. Schmidt

We propose a quantum stripe (smectic) coupled-Luttinger-liquid model for the anisotropic states which occur in two-dimensional electron systems with high-index partial Landau level filling, $\nu^{*} = \nu - \lbrack\nu\rbrack$. Perturbative…

Condensed Matter · Physics 2009-10-31 A. H. MacDonald , Matthew P. A. Fisher

We investigate ground state properties of the half-filled staggered-flux Hubbard model on a square lattice. Energy gaps to charge and spin excitations and magnetic as well as dimer orders are calculated as a function of interaction strength…

Strongly Correlated Electrons · Physics 2015-06-04 Chia-Chen Chang , Richard T. Scalettar

We study interaction-driven edge reconstruction in a quantum spin Hall insulator described by the Bernevig-Hughes-Zhang model with Kanamori-Hubbard interactions using the real-space density matrix renormalization group method in both the…

Mesoscale and Nanoscale Physics · Physics 2025-08-15 Rahul Soni , Matthias Thamm , Gonzalo Alvarez , Bernd Rosenow , Adrian Del Maestro

In the quest for quantum spin liquids in three spatial dimensions (3D), we study the half-filled Hubbard model on the simple cubic lattice with hopping processes up to third neighbors. Employing the variational cluster approach (VCA), we…

Strongly Correlated Electrons · Physics 2016-02-17 Manuel Laubach , Darshan G. Joshi , Johannes Reuther , Ronny Thomale , Matthias Vojta , Stephan Rachel

The Quantum Spin Hall insulator is characterized by the presence of gapless helical edge states where the spin of the charge carriers is locked to their direction of motion. In order to probe the properties of the edge modes, we propose a…

Strongly Correlated Electrons · Physics 2013-01-14 Roni Ilan , Jérôme Cayssol , Jens H. Bardarson , Joel E. Moore

Strong local interaction in systems with non-trivial topological bands can stabilize quantum states such as magnetic topological insulators. We investigate the influence of the lattice symmetry on the possible emergence of antiferromagnetic…

Strongly Correlated Electrons · Physics 2021-04-09 Morad Ebrahimkhas , Mohsen Hafez-Torbati , Walter Hofstetter

Using Cluster Perturbation Theory we calculate Green's functions, quasi-particle energies and topological invariants for interacting electrons on a 2-D honeycomb lattice, with intrinsic spin-orbit coupling and on-site e-e interaction. This…

Strongly Correlated Electrons · Physics 2015-02-03 F. Grandi , F. Manghi , O. Corradini , C. M. Bertoni , A. Bonini

We demonstrate that the insulating one-band Hubbard model on the pyrochlore lattice contains, for realistic parameters, an extended quantum spin-liquid phase. This is a three-dimensional spin liquid formed from a highly degenerate manifold…

Strongly Correlated Electrons · Physics 2014-05-28 B. Normand , Z. Nussinov

We investigate the weak interaction integer quantum Hall (IQH) phase, the intermediate interaction phase identified as a chiral spin liquid (CSL) and the transition between them in the triangular lattice Hofstadter-Hubbard model at a…

Strongly Correlated Electrons · Physics 2026-02-10 Cesar A. Gallegos , Rafael M. Magaldi , Andrew Millis , Steven R. White

We examine the effects of quantum fluctuations on a classical spin liquid state in the fully-frustrated honeycomb lattice Bose Hubbard model using quantum Monte Carlo simulations. Frustration is induced explicitly in the model by modulating…

Strongly Correlated Electrons · Physics 2011-05-24 Stephen Inglis , Roger G. Melko