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We employ quantum Monte Carlo techniques to calculate the $Z_2$ topological invariant in a two-dimensional model of interacting electrons that exhibits a quantum spin Hall topological insulator phase. In particular, we consider the parity…

Strongly Correlated Electrons · Physics 2013-05-02 Thomas C. Lang , Andrew M. Essin , Victor Gurarie , Stefan Wessel

Path Integral Quantum Monte Carlo simulation is used to study thermodynamic properties and a phase diagram of 2D quantum Josephson array, described by 2+1 XY model. The helicity and vorticity moduli, correlation function of phases and other…

Superconductivity · Physics 2015-06-25 A. I. Belousov , Yu. E. Lozovik

We propose numerical simulations of the Ashkin-Teller model as a foil for theoretical techniques for studying very weakly first-order phase transitions in three dimensions. The Ashkin-Teller model is a simple two-spin model whose parameters…

High Energy Physics - Lattice · Physics 2010-02-16 Peter Arnold , Yan Zhang

We investigate the effect of a high frequency electromagnetic field with both of circularly and linearly polarization, on the emergence of quantum phases on thin topological insulators. Simultaneously, the influence of the system parameters…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 S. Sajad Dabiri , Hosein Cheraghchi

Various topological phases, including topological insulators, topological semimetals, and topological superconductors, along with the controllable topological phase transitions, have attracted considerable attention due to their promising…

Materials Science · Physics 2025-02-28 Bo-Xuan Li , Ziyin Song , Zhong Fang , Zhijun Wang , Hongming Weng

We develop a Monte Carlo framework to analyze the statistics of quantum work in correlated electron systems. Using the Ising-Kondo model in heavy fermions as a paradigmatic platform, we thoroughly illustrate the process of determining the…

Statistical Mechanics · Physics 2025-05-23 Qian-Xi Zhao , Jian-Jun Dong , Zi-Xiang Hu

Topological insulators present a bulk gap, but allow for dissipationless spin transport along the edges. These exotic states are characterized by the $Z_2$ topological invariant and are protected by time-reversal symmetry. The Kane-Mele…

Strongly Correlated Electrons · Physics 2013-12-10 Zi Yang Meng , Hsiang-Hsuan Hung , Thomas C. Lang

Topological phases exhibit a plethora of striking phenomena including disorder-robust localization and propagation of waves of various nature. Of special interest are the transitions between the different topological phases which are…

Topological phase transitions in condensed matters accompany emerging singularities of the electronic wave function, often manifested by gap-closing points in the momentum space. In conventional topological insulators in three dimensions…

Strongly Correlated Electrons · Physics 2014-10-02 Bohm-Jung Yang , Eun-Gook Moon , Hiroki Isobe , Naoto Nagaosa

We report a simulation of the metal-insulator transition in a model of a doped semiconductor that treats disorder and interactions on an equal footing. The model is analyzed using density functional theory. From a multi-fractal analysis of…

Disordered Systems and Neural Networks · Physics 2014-05-13 Yosuke Harashima , Keith Slevin

Using exact diagonalization and quantum Monte Carlo calculations we investigate the effects of disorder on the phase diagram of both non-interacting and interacting models of two-dimensional topological insulators. In the fermion sign…

Strongly Correlated Electrons · Physics 2016-12-21 Hsiang-Hsuan Hung , Aaron Barr , Emil Prodan , Gregory A. Fiete

We study a holographic model which exhibits a quantum phase transition from the strongly interacting Weyl semimetal phase to an insulating phase. In the holographic insulating phase there is a hard gap in the real part of frequency…

High Energy Physics - Theory · Physics 2019-01-30 Yan Liu , Junkun Zhao

In event-chain Monte Carlo simulations we model colloidal particles in two dimensions that interact according to an isotropic short-ranged pair potential which supports the two typical length scales present in decagonal quasicrystals. We…

Soft Condensed Matter · Physics 2020-05-14 M. Martinsons , J. Hielscher , S. C. Kapfer , M. Schmiedeberg

Topological quantum phase transition in electron gas systems is an enthralling phenomena. This phase transition has a unique property in that it is associated with a quantum phase transition point, which separates different regions with…

Strongly Correlated Electrons · Physics 2015-06-25 S. A. Owerre

By means of Monte Carlo simulations, using finite size scaling and conformal transformations, evidences of a topological phase transition in liquid crystals in two dimensions are reported. A paramagnetic phase appears at high temperature…

Other Condensed Matter · Physics 2010-07-13 V. Ricardo Paredes , Ana I. Fariñas-Sánchez , Bertrand Berche

We perform coupled-cluster and diffusion Monte Carlo calculations of the energies of circular quantum dots up to 20 electrons. The coupled-cluster calculations include triples corrections and a renormalized Coulomb interaction defined for a…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 M. Pedersen Lohne , G. Hagen , M. Hjorth-Jensen , S. Kvaal , F. Pederiva

A method for computing the thermopower in interacting systems is proposed. This approach, which relies on Monte Carlo simulations, is illustrated first for a diatomic chain of hard-point elastically colliding particles and then in the case…

Statistical Mechanics · Physics 2015-10-01 Shunda Chen , Jiao Wang , Giulio Casati , Giuliano Benenti

A 2+1 dimensional fermion field theory is proposed as a model for the low-energy electronic excitations in monolayer graphene. The model consists of N=2 four-component Dirac fermions moving in the plane and interacting via a contact…

Strongly Correlated Electrons · Physics 2010-04-29 Wes Armour , Simon Hands , Costas Strouthos

There is a close connection between various new phenomena in Weyl semimetals and the existence of linear band crossings in the single particle description. We show, by a full self-consistent mean-field calculation, how this picture is…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Fei Xue , Xiao-Xiao Zhang

Recent high resolution Compton scattering experiments in lithium have shown significant discrepancies with conventional band theoretical results. We present a pseudopotential quantum Monte Carlo study of electron-electron and electron-ion…

Condensed Matter · Physics 2009-10-31 Claudia Filippi , David M. Ceperley