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We prove by means of a renormalization group method that in weakly interacting many-electron systems at half-filling on a periodic hyper-cubic lattice, the free energy density uniformly converges to an analytic function of the coupling…

Mathematical Physics · Physics 2016-12-19 Yohei Kashima

We investigate the classical antiferromagnetic Heisenberg model on the triangular lattice with up to third-nearest neighbor exchange couplings using the Nematic Bond Theory. This approach allows us to compute the free energy and the neutron…

Strongly Correlated Electrons · Physics 2026-04-27 Cecilie Glittum , Olav F. Syljuåsen

In a recent paper, Phys. Rev. Lett. 87, 167010/1-4 (2001), Moukouri and Jarrell presented evidence that in the two-dimensional (d=2) Hubbard model at half-filling there is a metal-insulator transition (MIT) at finite temperature even in…

Strongly Correlated Electrons · Physics 2009-11-07 B. Kyung , J. S. Landry , D. Poulin , A. -M. S. Tremblay

The paramagnetic phase of the extended attractive Hubbard model on the cubic lattice is studied within the spin rotation invariant Kotliar-Ruckenstein slave-boson representation at zero temperature. It is obtained that the quasiparticle…

Strongly Correlated Electrons · Physics 2022-06-15 R. Fresard , V. H. Dao

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

Motivated by recent experiments in ultracold atomic gases that explore the nonequilibrium dynamics of interacting quantum many-body systems, we investigate the opposite limit of Landau's Fermi liquid paradigm: We study a Hubbard model with…

Strongly Correlated Electrons · Physics 2008-05-09 M. Moeckel , S. Kehrein

Based on a generalized one-band Hubbard model, we study magnetic properties of Mott insulating states for ultracold spin-3/2 fermionic atoms in optical lattices. When the \textit{s}-wave scattering lengths for the total spin $S=2,0$ satisfy…

Strongly Correlated Electrons · Physics 2007-05-23 Hong-Hao Tu , Guang-Ming Zhang , Lu Yu

We present rigorous results for several variants of the Hubbard model in the strong-coupling regime. We establish a mathematically controlled perturbation expansion which shows how previously proposed effective interactions are, in fact,…

Mathematical Physics · Physics 2015-06-26 Nilanjana Datta , Roberto Fernandez , Juerg Froehlich

We study the phase diagram of the two-dimensional repulsive Hubbard model with spin-dependent anisotropic hopping at half-filling. The system develops Ising antiferromagnetic long-range order already at infinitesimal repulsive interaction…

Strongly Correlated Electrons · Physics 2017-05-17 Jan Gukelberger , Lei Wang , Lode Pollet

The phase diagram of the classical anisotropic (XXZ) Heisenberg model on the 2-dimensional triangular lattice is investigated using Monte Carlo methods. In the easy-axis limit, two finite temperature vortex unbinding transitions have been…

Statistical Mechanics · Physics 2009-10-31 W. Stephan , B. W. Southern

Paramagnetic solutions of the ionic Hubbard model at half-filling in dimensions $D>2$ indicate that the band and the Mott insulator phases are separated by a metallic phase. We present zero-temperature dynamical mean-field theory solutions,…

Strongly Correlated Electrons · Physics 2009-11-13 Krzysztof Byczuk , Michael Sekania , Walter Hofstetter , Arno P. Kampf

We use a self-consistent strong-coupling expansion for the self-energy (perturbation theory in the hopping) to describe the nonequilibrium dynamics of strongly correlated lattice fermions. We study the three-dimensional homogeneous…

Strongly Correlated Electrons · Physics 2014-11-18 K. Mikelsons , J. K. Freericks , H. R. Krishnamurthy

The possible emergence of a spin liquid phase in the half-filled Hubbard model on the honeycomb lattice; a simple model of graphene, is studied using the variational cluster approximation. We found that the critical interaction strength of…

Strongly Correlated Electrons · Physics 2017-02-24 Atsushi Yamada

We consider two lattice models for strongly correlated electrons which are exactly-solvable in one dimension. Along with the Hubbard model and the su(2|2) spin chain, these are the only parity-invariant models that can be obtained from…

Strongly Correlated Electrons · Physics 2012-02-27 Sergey Frolov , Eoin Quinn

We present the zero-temperature phase diagram of the one-dimensional t2g-orbital Hubbard model, obtained using the density-matrix renormalization group and Lanczos techniques. Emphasis is given to the case for the electron density n=5…

Strongly Correlated Electrons · Physics 2009-11-11 Jose Xavier , Hiroaki Onishi , Takashi Hotta , Elbio Dagotto

The temperature dependence of the transport properties of the metallic phase of a frustrated Hubbard model on the hypercubic lattice at half-filling are calculated. Dynamical mean-field theory, which maps the Hubbard model onto a single…

Strongly Correlated Electrons · Physics 2009-10-31 Jaime Merino , Ross H. McKenzie

A detailed study of electronic phase transitions in the ionic Hubbard model at half filling is presented. Within the dynamical mean field approximation a series of transitions from the band insulator via a metallic state to a Mott-Hubbard…

Strongly Correlated Electrons · Physics 2009-11-13 L. Craco , P. Lombardo , R. Hayn , G. I. Japaridze , E. Müller-Hartmann

We establish the phase diagram of the Hubbard model on a cubic lattice for a wide range of temperatures, dopings and interaction strengths, considering both commensurate and incommensurate magnetic orders. We use the dynamical mean-field…

Strongly Correlated Electrons · Physics 2025-02-14 Liam Rampon , Fedor Šimkovic , Michel Ferrero

Numerical investigation on the thermodynamic properties of an Ising spin Kondo lattice model on a kagome lattice is reported. By using Monte Carlo simulation, we investigated the magnetic phases at 1/3-filling. We identified two successive…

Strongly Correlated Electrons · Physics 2013-08-28 Hiroaki Ishizuka , Yukitoshi Motome

We have considered the half-filled disordered attractive Hubbard model on a square lattice, in which the on-site attraction is switched off on a fraction $f$ of sites, while keeping a finite $U$ on the remaining ones. Through Quantum Monte…

Superconductivity · Physics 2009-11-13 Felipe Mondaini , Thereza Paiva , Raimundo R. dos Santos , R. T. Scalettar