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We study the higher-order topological insulators at finite temperature based on a generalized real-space quadrupole moment, which extends the ground state expectations to ensemble averages. Our study reveals that chiral symmetry alone…

Mesoscale and Nanoscale Physics · Physics 2025-08-04 Yiting Deng , Yan He

Two-level atoms interacting with a one mode cavity field at zero temperature have order parameters which reflect the presence of a quantum phase transition at a critical value of the atom-cavity coupling strength. Two popular examples are…

Quantum Physics · Physics 2015-06-11 J. G. Hirsch , O. Castaños , E. Nahmad-Achar , R. López-Penã

We determine the zero-temperature phase diagram of the hard-core Bose-Hubbard model on a square lattice by mean-field theory supplemented by a linear spin-wave analysis. Due to the interplay between nearest and next-nearest neighbor…

Statistical Mechanics · Physics 2009-10-30 C. Pich , E. Frey

We investigate the ground-state properties of the highly degenerate non-coplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice with Monte Carlo simulations. For that purpose, we introduce an Ising…

Strongly Correlated Electrons · Physics 2013-09-09 Sandro Wenzel , Sergey E. Korshunov , Karlo Penc , Frédéric Mila

We investigate a two-dimensional classical $N$-vector model with a nonlinear interaction $(1 + \bsigma_i\cdot \bsigma_j)^p$ in the large-N limit. As observed for N=3 by Bl\"ote {\em et al.} [Phys. Rev. Lett. {\bf 88}, 047203 (2002)], we…

Statistical Mechanics · Physics 2011-07-19 Sergio Caracciolo , Andrea Pelissetto

We study a bipartite collective spin-$1$ model with exchange interaction between the spins. The bipartite nature of the model manifests itself by the spins being divided into two equal-sized subsystems; within each subsystem the spin-spin…

Statistical Mechanics · Physics 2021-07-07 Dávid Jakab , Zoltán Zimborás

The phase diagram at zero temperature of a lattice SU(2) scalar-fermion model in (2+1) dimensions is studied numerically and with Mean-Field methods. Special attention is devoted to the strong coupling regime. We have developed a new method…

Condensed Matter · Physics 2010-03-19 J. L. Alonso , Ph. Boucaud , V. Martin-Mayor , A. J. van der Sijs

The attractive Hubbard model in d=2 is studied through Monte Carlo simulations at intermediate coupling. There is a crossover temperature $T_X$ where a pseudogap appears with concomitant precursors of Bogoliubov quasiparticles that are not…

Strongly Correlated Electrons · Physics 2009-10-31 S. Allen , H. Touchette , S. Moukouri , Y. M. Vilk , A. -M. S. Tremblay

Temperature vs. chemical-potential phase diagrams of an SO(5) model for high-(T_c) cuprates are calculated by Monte Carlo simulation. There is a bicritical point where the second-order antiferromagnetism (AF) and superconductivity…

Superconductivity · Physics 2009-10-31 X. Hu , T. Koyama , M. Tachiki

We consider quantum Heisenberg ferro- and antiferromagnets on the square lattice with exchange anisotropy of easy-plane or easy-axis type. The thermodynamics and the critical behaviour of the models are studied by the pure-quantum…

Statistical Mechanics · Physics 2015-06-24 A. Cuccoli , T. Roscilde , V. Tognetti , R. Vaia , P. Verrucchi

We investigate the impact of quantum and thermal phase fluctuations on the suppression of superconducting order in two-dimensional systems. Within the two-dimensional quantum XY model in the phase representation, where on-site interaction…

We determine the finite-temperature phase diagram of the square lattice hard-core boson Hubbard model with nearest neighbor repulsion using quantum Monte Carlo simulations. This model is equivalent to an anisotropic spin-1/2 XXZ model in a…

Superconductivity · Physics 2009-11-07 Guido Schmid , Synge Todo , Matthias Troyer , Ansgar Dorneich

The dynamic phase transitions have been studied, within a mean-field approach, in the kinetic spin-1 Ising model Hamiltonian with arbitrary bilinear and biquadratic pair interactions in the presence of a time varying (sinusoidal) magnetic…

Statistical Mechanics · Physics 2009-11-11 Mustafa Keskin , Osman Canko , Ersin Kantar

We introduce a family of two-dimensional lattice models of quasicrystals, using a range of square hard cores together with a soft interaction based on an aperiodic tiling set. Along a low temperature isotherm we find, by Monte Carlo…

Statistical Mechanics · Physics 2015-05-27 David Aristoff , Charles Radin

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

We investigate the quantum phase transitions in the frustrated antiferromagnetic Heisenberg model for $\rm SrCu_2(BO_3)_2$ by using the series expansion method. It is found that a novel spin-gap phase, which is adiabatically connected to…

Strongly Correlated Electrons · Physics 2009-10-31 Akihisa Koga , Norio Kawakami

We have studied the possible existence of a supersolid phase of a two-dimensional dipolar crystal using quantum Monte Carlo methods at zero temperature. Our results show that the commensurate solid is not a supersolid in the thermodynamic…

Other Condensed Matter · Physics 2015-05-18 I. L. Kurbakov , Yu. E. Lozovik , G. E. Astrakharchik , J. Boronat

We consider a Mott transition of the Hubbard model in infinite dimensions. The dynamical mean- field theory is employed in combination with a continuous-time quantum Monte Carlo (CTQMC) method for an accurate description at low…

Strongly Correlated Electrons · Physics 2014-05-20 Aaram J. Kim , M. Y. Choi , Gun Sang Jeon

We present results of numerical studies of the two dimensional XY model with four and eight fold symmetry breaking fields. This model has recently been shown to describe hydrogen induced reconstruction on the W(100) surface. Based on…

Condensed Matter · Physics 2009-10-22 T. Ala-Nissila , E. Granato , K. Kankaala , J. M. Kosterlitz , S. -C. Ying

Equilibrium properties of the three-dimensional isotropic Heisenberg spin glass are studied by extensive Monte Carlo simulations, with particular attention to the nature of its phase transition. A finite-size-scaling analysis is performed…

Disordered Systems and Neural Networks · Physics 2013-05-29 K. Hukushima , H. Kawamura