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A chain of Josephson junctions implements one of the simplest many-body models undergoing a superconductor-insulator (SI) quantum phase transition between states with zero and infinite resistance. Apart from zero resistance, the…

On the basis of an analysis of a 3/4-filled two-dimensional (2D) extended Hubbard model under the fluctuation-exchange approximation, we find Coulomb frustrated phase separation (PS) in a region of nonzero temperature, where the quantum…

Strongly Correlated Electrons · Physics 2012-05-22 K. Yoshimi , H. Maebashi

We study the dynamics of the Mott insulator-superfluid quantum phase transition in a periodic 1D array of Josephson junctions. We show that crossing the critical point diabatically i.e. at a finite rate with a quench time $\tau_Q$ induces…

Condensed Matter · Physics 2009-11-07 J. Dziarmaga , A. Smerzi , W. H. Zurek , A. R. Bishop

The gauge glass model offers an interesting example of a randomly frustrated system with a continuous O(2) symmetry. In two dimensions, the existence of a glass phase at low temperatures has long been disputed among numerical studies. To…

Disordered Systems and Neural Networks · Physics 2015-05-14 Lei-Han Tang

We study disordered interacting bosons described by the Bose-Hubbard model with Gaussian-distributed random tunneling amplitudes. It is shown that the off-diagonal disorder induces a spin-glass-like ground state, characterized by randomly…

Quantum Gases · Physics 2018-04-18 A. M. Piekarska , T. K. Kopeć

We introduce a spherical version of the frustrated Blume-Emery-Griffiths model and solve exactly the statics and the Langevin dynamics for zero particle-particle coupling (K=0). In this case the model exhibits an equilibrium transition from…

Statistical Mechanics · Physics 2009-11-10 A. Caiazzo , A. Coniglio , M. Nicodemi

The study of the low temperature phase of spin glass models by means of Monte Carlo simulations is a challenging task, because of the very slow dynamics and the severe finite size effects they show. By exploiting at the best the…

Disordered Systems and Neural Networks · Physics 2014-04-02 Lucas Nicolao , Giorgio Parisi , Federico Ricci-Tersenghi

We take advantage of recent improvements in the grand canonical Hybrid Monte Carlo algorithm, to perform a precision study of the single-particle gap in the hexagonal Hubbard model, with on-site electron-electron interactions. After…

Strongly Correlated Electrons · Physics 2021-01-04 Johann Ostmeyer , Evan Berkowitz , Stefan Krieg , Timo A. Lähde , Thomas Luu , Carsten Urbach

We examine the zero and finite temperature phase diagrams of soft-core bosons of the extended Bose-Hubbard model on a square optical lattice. To study various quantum phases and their transitions we employ single-site and cluster Gutzwiller…

Quantum Gases · Physics 2020-07-23 K. Suthar , Hrushikesh Sable , Rukmani Bai , Soumik Bandyopadhyay , Sukla Pal , D. Angom

The dynamics of the random-phase sine-Gordon model, which describes 2D vortex-glass arrays and crystalline surfaces on disordered substrates, is investigated using the self-consistent Hartree approximation. The fluctuation-dissipation…

Condensed Matter · Physics 2009-10-22 D. Cule , Y. Shapir

Glassy behavior is a generic feature of electrons close to disorder-driven metal-insulator transitions. Deep in the insulating phase, electrons are tightly bound to impurities, and thus classical models for electron glasses have long been…

Strongly Correlated Electrons · Physics 2009-11-10 V. Dobrosavljevic

We study the phase transition in a face-centered-cubic antiferromagnet with Ising spins as a function of the concentration $p$ of ferromagnetic bonds randomly introduced into the system. Such a model describes the spin-glass phase at strong…

Statistical Mechanics · Physics 2014-03-05 V. Thanh Ngo , D. Tien Hoang , Hung T. Diep , I. A. Campbell

Divergent carrier-density fluctuations equivalent to the critical opalescence of gas-liquid transitions emerge around a metal-insulator critical point at a finite temperature. In contrast to the gas-liquid transitions, however, the critical…

Strongly Correlated Electrons · Physics 2007-05-23 Takahiro Misawa , Youhei Yamaji , Masatoshi Imada

The two-dimensional dissipative quantum XY model is applicable to the quantum-critical properties of diverse experimental systems, ranging from the superconductor to insulator transitions, ferromagnetic and antiferromagnetic transitions in…

Strongly Correlated Electrons · Physics 2016-11-09 Changtao Hou , Chandra M. Varma

Similarities between fragile glasses and spin glasses (SG) suggest the study of frustrated spin model to understand the complex dynamics of glasses above the glass transition. We consider a frustrated spin model with Ising spins and s-state…

Disordered Systems and Neural Networks · Physics 2007-05-23 Giancarlo Franzese , Antonio Coniglio

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

We study phase transition in the ferromagnetic Potts model with invisible states that are added as redundant states by mean-field calculation and Monte Carlo simulation. Invisible states affect the entropy and the free energy, although they…

Statistical Mechanics · Physics 2010-08-30 Ryo Tamura , Shu Tanaka , Naoki Kawashima

The 2D half-filled Kondo lattice model with exchange J and nearest neighbor hopping t is considered. It is shown that this model belongs to a class of Hamiltonians for which zero-temperature auxiliary field Monte Carlo methods may be…

Strongly Correlated Electrons · Physics 2009-10-31 F. F. Assaad

We study the quantum phase transition in the two-dimensional random Ising model in a transverse field by Monte Carlo simulations. We find results similar to those known analytically in one-dimension. At the critical point, the dynamical…

Disordered Systems and Neural Networks · Physics 2009-10-31 C. Pich , A. P. Young , H. Rieger , N. Kawashima

Recent experiments on the two dimensional electron gas in various semiconductor devices have revealed an unexpected metal-insulator transition and have challenged the previously held assumption that there is no such transition in two…

Strongly Correlated Electrons · Physics 2017-02-08 Sudip Chakravarty , Steven Kivelson , Chetan Nayak , Klaus Voelker