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The Hubbard model on the honeycomb lattice undergoes a quantum phase transition from a semimetallic to a Mott insulating phase and from a disordered to an anti-ferromagnetically phase. We show that these transitions occur simultaneously and…

Strongly Correlated Electrons · Physics 2022-07-26 Johann Ostmeyer , Evan Berkowitz , Stefan Krieg , Timo A. Lähde , Thomas Luu , Carsten Urbach

The classical Heisenberg antiferromagnet on a triangular lattice with the single-ion anisotropy of the easy-axis type is theoretically investigated. The mean-field phase diagram in an external magnetic field is constructed. Three…

Strongly Correlated Electrons · Physics 2009-08-24 P. -É. Melchy , M. E. Zhitomirsky

Using a Monte Carlo method, we study the finite-temperature phase transition in the two-dimensional classical Heisenberg model on a triangular lattice with or without easy-plane anisotropy. The model takes account of competing interactions:…

Statistical Mechanics · Physics 2015-03-19 Ryo Tamura , Naoki Kawashima

Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases, such as quantum spin liquids. Promising candidate materials for such phases can be described by the…

The dynamical mean-field theory (DMFT) is employed to study the Mott transition in the semi-infinite Hubbard model at half-filling and zero temperature. We consider the low-index surfaces of the three-dimensional simple-cubic lattice and…

Strongly Correlated Electrons · Physics 2016-08-31 M. Potthoff , W. Nolting

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

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

We study the finite temperature properties of two-component fermionic atoms trapped in a two-dimensional optical lattice. We apply the self-energy functional approach to the two-dimensional Hubbard model with a harmonic trapping potential,…

Quantum Gases · Physics 2010-12-14 Kensuke Inaba , Makoto Yamashita

We study phase diagrams of the Hubbard model on anisotropic triangular lattices, which also represents a model for $\kappa$-type BEDT-TTF compounds. In contrast with mean-field predictions, path-integral renormalization group calculations…

Strongly Correlated Electrons · Physics 2007-05-23 Hidekazu Morita , Shinji Watanabe , Masatoshi Imada

We have investigated the Mott transition in a quasi-two-dimensional Mott insulator EtMe$_3$P[Pd(dmit)$_2$]$_2$ with a spin-frustrated triangular lattice in hydrostatic pressure and magnetic field. In the pressure-temperature ($P$-$T$) phase…

Strongly Correlated Electrons · Physics 2009-11-11 Yasuhiro Shimizu , Hikota Akimoto , Hiroyuki Tsujii , Akiko Tajima , Reizo Kato

The mass-imbalanced Hubbard model represents a continuous evolution from the Hubbard to the Falicov-Kimball model. We employ dynamical mean field theory and study the paramagnetic metal-insulator transition, which has a very different…

Strongly Correlated Electrons · Physics 2017-06-29 Marie-Therese Philipp , Markus Wallerberger , Patrik Gunacker , Karsten Held

We study the low energy behavior of the one dimensional Hubbard model across the Mott metal-insulator phase transition in an external magnetic field. In particular we calculate elements of the dressed charge matrix at the critical point of…

Strongly Correlated Electrons · Physics 2008-01-08 Holger Frahm , Temo Vekua

We study the phase transition behavior of a frustrated Heisenberg model on a stacked triangular lattice by Monte Carlo simulations. The model has three types of interactions: the ferromagnetic nearest-neighbor interaction $J_1$ and…

Statistical Mechanics · Physics 2013-11-28 Ryo Tamura , Shu Tanaka

A model of two-species bosons moving on the sites of a lattice is studied at nonzero temperature, focusing on magnetic order and superfluid-insulator transitions. Firstly, Landau theory is used to find the general structure of the phase…

Statistical Mechanics · Physics 2009-05-10 Stephen Powell

The checkerboard lattice, with alternating 'crossed' plaquettes, serves as the two dimensional analog of the pyrochlore lattice. The corner sharing plaquette structure leads to a hugely degenerate ground state, and no magnetic order, for…

Strongly Correlated Electrons · Physics 2017-01-24 Nyayabanta Swain , Pinaki Majumdar

Tools of quantum information theory offer a new perspective to characterize phases and phase transitions in interacting many-body quantum systems. The Hubbard model is the archetypal model of such systems and can explain rich phenomena of…

Strongly Correlated Electrons · Physics 2020-11-10 C. Walsh , P. Sémon , D. Poulin , G. Sordi , A. -M. S. Tremblay

Quantum phase transition of fermionic atoms in anisotropic triangular optical lattice was investigated by dynamical cluster approximation combining with continuous time quantum Monte Carlo algorithm. The temperature-interaction phase…

Strongly Correlated Electrons · Physics 2012-12-13 Baoan , Xiaozhong Zhang , Wu-Ming Liu

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

Magnetization processes and phase transitions in a geometrically frustrated triangular lattice Ising antiferromagnet in the presence of an external magnetic field and a random site dilution are studied by the use of an effective-field…

Statistical Mechanics · Physics 2012-12-24 M. Žukovič , M. Borovský , A. Bobák

We use the two-step density-matrix renormalization group method to elucidate the long-standing issue of the universality class of the Mott transition in the Hubbard model in two dimensions. We studied a spatially anisotropic two-dimensional…

Strongly Correlated Electrons · Physics 2015-06-05 S. Moukouri , Eitan Eidelstein
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