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A quasi one--dimensional system of trapped, repulsively interacting atoms (e.g., an ion chain) exhibits a structural phase transition from a linear chain to a zigzag structure, tuned by reducing the transverse trap potential or increasing…

Statistical Mechanics · Physics 2011-04-11 Efrat Shimshoni , Giovanna Morigi , Shmuel Fishman

Degenerate Hubbard models are studied using the Generalized-Gutzwiller-Approximation. It is found that the metal-insulator transition occurs at a finite correlation $U_c$ when the average number of electrons per lattice site is an integer.…

Condensed Matter · Physics 2015-06-25 Jian Ping Lu

Spinless fermions on a honeycomb lattice provide a minimal realization of lattice Dirac fermions. Repulsive interactions between nearest neighbors drive a quantum phase transition from a Dirac semimetal to a charge-density-wave state…

Strongly Correlated Electrons · Physics 2014-10-09 Lei Wang , Philippe Corboz , Matthias Troyer

One of the most remarkable results of quantum mechanics is the fact that many-body quantum systems may exhibit phase transitions even at zero temperature. Quantum fluctuations, deeply rooted in Heisenberg's uncertainty principle, and not…

We have investigated the finite temperature dynamics of the singlet to doublet continuous quantum phase transition in the gapped Anderson impurity model using hybridization expansion continuous time quantum Monte-Carlo. Using the…

Strongly Correlated Electrons · Physics 2015-12-03 Nagamalleswararao Dasari , Swagata Acharya , A. Taraphder , Juana Moreno , Mark Jarrell , N. S. Vidhyadhiraja

We study two planar square lattice Heisenberg models with explicit dimerization or quadrumerization of the couplings in the form of ladder and plaquette arrangements. We investigate the quantum critical points of those models by means of…

Strongly Correlated Electrons · Physics 2009-01-21 Sandro Wenzel , Wolfhard Janke

Quantum loop and dimer models are archetypal examples of correlated systems with local constraints. Obtaining generic solutions for these models is difficult due to the lack of controlled methods to solve them in the thermodynamic limit.…

Strongly Correlated Electrons · Physics 2024-06-12 Xiaoxue Ran , Zheng Yan , Yan-Cheng Wang , Junchen Rong , Yang Qi , Zi Yang Meng

Spin-1/2 Ising-Heisenberg model with XYZ Heisenberg pair interaction and two different Ising quartic interactions is exactly solved with the help of the generalized star-square transformation, which establishes a precise mapping equivalence…

Statistical Mechanics · Physics 2015-05-14 Jozef Strecka , Lucia Canova , Kazuhiko Minami

Spontaneous phase separation instabilities with the formation of various types of charge and spin pairing (pseudo)gaps in $U>0$ Hubbard model including the {\it next nearest neighbor coupling} are calculated with the emphasis on the…

Strongly Correlated Electrons · Physics 2012-05-16 A. N. Kocharian , Kun Fang , G. W. Fernando

We report results of quantum Monte Carlo simulations in the canonical and the grand-canonical ensemble of the two- and three-dimensional Bose-Hubbard model with quadratic and quartic confining potentials. The quantum criticality of the…

Other Condensed Matter · Physics 2007-05-23 Olivier Gygi , Helmut G. Katzgraber , Matthias Troyer , Stefan Wessel , G. George Batrouni

In this paper, the phase diagrams and the critical behavior of the spin-1/2 anisotropic XXZ ferromagnetic model (the anisotropic parameter {\Delta}\in(-\infty,1]) on two kinds of diamond-type hierarchical (DH) lattices with fractal…

Statistical Mechanics · Physics 2011-11-03 Xiu-Xing Zhang , Xiang-Mu Kong , Zhong-Yang Gao , Xiao-Song Chen

We propose a hybrid parameterization of a quasiparticle equation of state, where a critical point is implemented phenomenologically. In this approach, a quasiparticle model with finite chemical potential is used to describe the quark-gluon…

Nuclear Theory · Physics 2018-02-14 Hong-Hao Ma , Wei-Liang Qian

We use the fidelity approach to quantum critical points to study the zero temperature phase diagram of the one-dimensional Hubbard model. Using a variety of analytical and numerical techniques, we analyze the fidelity metric in various…

Statistical Mechanics · Physics 2009-11-13 L. Campos Venuti , M. Cozzini , P. Buonsante , F. Massel , N. Bray-Ali , P. Zanardi

We investigate a semimetal-superconductor phase transition of two-dimensional Dirac electrons at zero temperature by large-scale and essentially unbiased quantum Monte Carlo simulations for the half-filled attractive Hubbard model on the…

Strongly Correlated Electrons · Physics 2018-07-20 Yuichi Otsuka , Kazuhiro Seki , Sandro Sorella , Seiji Yunoki

We investigate the quantum phase transitions in the half-filled Hubbard model on the triangular lattice by means of the path-integral renormalization group (PIRG) method with a new iteration scheme proposed recently. It is found that as the…

Strongly Correlated Electrons · Physics 2008-11-12 Takuya Yoshioka , Akihisa Koga , Norio Kawakami

We study the Hubbard model on the honeycomb lattice in the vicinity of the quantum critical point by means of a multiband formulation of the Dual Fermion approach. Beyond the strong local correlations of the dynamical mean field, critical…

Strongly Correlated Electrons · Physics 2018-04-04 Daniel Hirschmeier , Hartmut Hafermann , Alexander I. Lichtenstein

We review the recently proposed extension of the Gutzwiller approximation, M. Schiro' and M. Fabrizio, Phys. Rev. Lett. 105, 076401 (2010), designed to describe the out-of-equilibrium time-evolution of a Gutzwiller-type variational wave…

Strongly Correlated Electrons · Physics 2015-06-04 Michele Fabrizio

Phase transitions are prevalent throughout physics, spanning thermal phenomena like water boiling to magnetic transitions in solids. They encompass cosmological phase transitions in the early universe and the transition into a quark-gluon…

Disordered Systems and Neural Networks · Physics 2025-04-03 Farid Madani , Maxime Denis , Pascal Szriftgiser , Jean Claude Garreau , Adam Rançon , Radu Chicireanu

The experimentally established phase diagram of the half-filled Hubbard model features the existence of three distinct finite-temperature regimes, separated by extended crossover regions. A number of crossover lines can be defined to span…

Strongly Correlated Electrons · Physics 2013-08-29 J. Vucicevic , H. Terletska , D. Tanaskovic , V. Dobrosavljevic

The interaction-driven Mott transition in the half-filled Hubbard model is a first-order phase transition that terminates at a critical point $(T_\mathrm{c},U_\mathrm{c})$ in the temperature-interaction plane $T-U$. A number of crossovers…

Strongly Correlated Electrons · Physics 2020-04-07 A. Reymbaut , M. Boulay , L. Fratino , P. Sémon , Wei Wu , G. Sordi , A. -M. S. Tremblay
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