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Employing a combination of functional renormalization group calculations and projective determinantal quantum Monte Carlo simulations, we examine the Hubbard model on the square lattice bilayer at half filling. From this combined analysis,…

Strongly Correlated Electrons · Physics 2014-11-25 Michael Golor , Timo Reckling , Laura Classen , Michael M. Scherer , Stefan Wessel

The dimerized Kane-Mele model with/without the strong interaction is studied using analytical methods. The boundary of the topological phase transition of the model without strong interaction is obtained. Our results show that the…

Strongly Correlated Electrons · Physics 2021-03-17 Tao Du , Yue-Xun Li , Yan Li , He-Lin Lu , Hui Zhang

To investigate the influence of electronic interaction on the metal-insulator transition (MIT), we consider the Aubry-Andr\'{e} (or Harper) model which describes a quasiperiodic one-dimensional quantum system of non-interacting electrons…

Disordered Systems and Neural Networks · Physics 2009-10-31 Andrzej Eilmes , Uwe Grimm , Rudolf A. Roemer , Michael Schreiber

We investigate the Hubbard model on two typical frustrated lattices in two dimensions, the kagome lattice and the anisotropic triangular lattice, by means of the cellular dynamical mean field theory. We show that the metallic phase is…

Strongly Correlated Electrons · Physics 2015-05-13 Takuma Ohashi , Tsutomu Momoi , Hirokazu Tsunetsugu , Norio Kawakami

We study transport properties of the half-filled two-dimensional (2D) Hubbard model with spatially varying interactions, where a pattern of interacting and non-interacting sites is formed. We use Determinantal Quantum Monte Carlo method to…

Strongly Correlated Electrons · Physics 2014-08-15 Rubem Mondaini , Thereza Paiva

We formulate a U(1) gauge theory of the Hubbard model in the slave-rotor representation. From this formalism it is argued that spin liquid phases may exist near the Mott transition in the Hubbard model on triangular and honeycomb lattices…

Strongly Correlated Electrons · Physics 2007-05-23 Sung-Sik Lee , Patrick A. Lee

The Bose-Hubbard model effectively describes bosons on a lattice with on-site interactions and nearest-neighbour hopping, serving as a foundational framework for understanding strong particle interactions and the superfluid to Mott…

Mathematical Physics · Physics 2025-03-19 Shahnaz Farhat , Denis Périce , Sören Petrat

We investigate the metal-to-insulator phase transition driven by the density-density electronic interaction in the quarter-filled model on a cubic lattice with two orbitals split by a crystal field. We show that a systematic consideration…

Strongly Correlated Electrons · Physics 2023-05-30 M. Vandelli , J. Kaufmann , V. Harkov , A. I. Lichtenstein , K. Held , E. A. Stepanov

We study Mott insulator - superfluid transition in a two-band boson Hubbard model, which can be mapped onto a spin-1/2 XY model with spins coupled to an additional Ising degree of freedom. By using a modified mean field theory that include…

Statistical Mechanics · Physics 2009-11-13 Huai-Bin Zhuang , Michael Ma , Xi Dai , Fu-Chun Zhang

Majorana modes can arise as zero energy bound states in a variety of solid state systems. A two-dimensional phase supporting these quasiparticles, for instance, emerges on the surface of a topological superconductor with the zero modes…

Strongly Correlated Electrons · Physics 2021-03-26 Tarun Tummuru , Alberto Nocera , Ian Affleck

We study various Mott insulating phases of interacting spin-3/2 fermionic ultracold atoms in two-dimensional square optical lattices at half filling. Using a generalized one-band Hubbard model with hidden SO(5) symmetry, we identify two…

Strongly Correlated Electrons · Physics 2009-11-13 Hong-Hao Tu , Guang-Ming Zhang , Lu Yu

Employing extensive cellular dynamical mean-field theory (CDMFT) calculations with exact diagonalization impurity solver, we investigate the ground state phase diagrams and non-magnetic metal-insulator transitions of the half-filled Hubbard…

Strongly Correlated Electrons · Physics 2015-03-20 Han-Qing Wu , Rong-Qiang He , Zi Yang Meng , Zhong-Yi Lu

We determine the phase diagrams of anisotropic Kitaev-Heisenberg models on the honeycomb lattice using parton mean-field theories based on different Majorana fermion representations of the $S=1/2$ spin operators. Firstly, we use a…

Strongly Correlated Electrons · Physics 2024-02-21 Shahnam Ghanbari Saheli , Jennifer Lin , Huanzhi Hu , Frank Krüger

Mott transition and ferrimagnetism are studied in the Hubbard model on the anisotropic kagom\'e lattice using the variational cluster approximation and the phase diagram at zero temperature and half-filling is analyzed. The ferrimagnetic…

Strongly Correlated Electrons · Physics 2015-03-17 A. Yamada , K. Seki , R. Eder , Y. Ohta

Experiments on layered materials call for a study of the influence of short-range spin correlations on the Mott transition. To this end, we solve the cluster dynamical mean-field equations for the Hubbard model on a plaquette with…

Strongly Correlated Electrons · Physics 2010-06-23 G. Sordi , K. Haule , A. -M. S. Tremblay

In this work we study ultracold Fermions confined in a two-dimensional optical lattice and we explore the Mott-insulator transition with the Fermi-Hubbard model. On the basis of a mean-field approach, we study the phase diagrams in the…

Mesoscale and Nanoscale Physics · Physics 2008-05-19 N. Goldman

We study, using quantum Monte-Carlo simulations, the bosonic Kondo-Hubbard model in a two dimensional square lattice. We explore the phase diagram and analyse the mobility of particles and magnetic properties. At unit filling, the…

Quantum Gases · Physics 2017-01-18 T. Flottat , F. Hébert , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

We find a state characterized by a spontaneous loop-spin current and a single-particle gap in the Hubbard model within the variational cluster approach. This state exists for arbitrarily small interaction in a half-filled honeycomb lattice.…

Strongly Correlated Electrons · Physics 2014-08-06 Shimpei Goto , Keisuke Masuda , Susumu Kurihara

In this paper we propose an exactly solvable model of a topological insulator defined on a spin-1/2 square decorated lattice. Itinerant fermions defined in the framework of the Haldane model interact via the Kitaev interaction with spin-1/2…

Strongly Correlated Electrons · Physics 2014-10-17 Igor N. Karnaukhov , Igor O. Slieptsov

We have studied the extended Hubbard model with pair hopping in the atomic limit for arbitrary electron density and chemical potential. The Hamiltonian considered consists of (i) the effective on-site interaction U and (ii) the intersite…

Strongly Correlated Electrons · Physics 2012-05-01 Konrad Kapcia , Stanisław Robaszkiewicz , Roman Micnas