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We discuss the effects of disorder in time-reversal invariant topological insulators and superconductors in three spatial dimensions. For three-dimensional topological insulator in symplectic (AII) symmetry class, the phase diagram in the…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Shinsei Ryu , Kentaro Nomura

We investigate the superfluid-insulator transition of one-dimensional interacting Bosons in both deep and shallow periodic potentials. We compare a theoretical analysis based on Monte-Carlo simulations in continuum space and Luttinger…

A system of coupled photonic cavities on a two-dimensional square lattice is systematically investigated using the stochastic series expansion quantum Monte Carlo method. The ground state phase diagram contains insulating phases with…

Other Condensed Matter · Physics 2008-08-18 Jize Zhao , Anders W. Sandvik , Kazuo Ueda

We study the quantum phase transition between the superfluid and the Mott insulator in the one-dimensional (1D) Bose-Hubbard model. Using the time-evolving block decimation method, we numerically calculate the tunneling splitting of two…

Quantum Gases · Physics 2015-05-30 Ippei Danshita , Anatoli Polkovnikov

For a system at a temperature of absolute zero, all thermal fluctuations are frozen out, while quantum fluctuations prevail. These microscopic quantum fluctuations can induce a macroscopic phase transition in the ground state of a many-body…

Quantum Gases · Physics 2025-06-27 Markus Greiner , Olaf Mandel , Tilman Esslinger , Theodor W Hänsch , Immanuel Bloch

We numerically study the superconductor-insulator phase transition in a model disordered 2D superconductor as a function of applied magnetic field. The calculation involves quantum Monte Carlo calculations of the (2+1)D XY model in the…

Superconductivity · Physics 2009-11-13 Kwangmoo Kim , David Stroud

We consider the many-body localization-delocalization transition for strongly interacting one- dimensional disordered bosons and construct the full picture of finite temperature behavior of this system. This picture shows two…

Disordered Systems and Neural Networks · Physics 2016-09-21 V. P. Michal , I. L. Aleiner , B. L. Altshuler , G. V. Shlyapnikov

We study the dynamics of phase transitions in the one dimensional Bose-Hubbard model. To drive the system from Mott insulator to superfluid phase, we change the tunneling frequency at a finite rate. We investigate the build up of…

Other Condensed Matter · Physics 2009-11-11 Fernando M. Cucchietti , Bogdan Damski , Jacek Dziarmaga , Wojciech H. Zurek

We investigate the effect of disorder on topologically nontrivial states in a two dimension (2D) mechanical system. We first propose a quantum spin Hall (QSH) insulator based on an out-of-plane spring-mass model and analytically study the…

Applied Physics · Physics 2023-09-01 Xiaotian Shi , Rajesh Chaunsali , Georgios Theocharis , Huaqing Huang , Rui Zhu , Jinkyu Yang

Disorder, traditionally believed to hinder the propagation of waves. has recently been shown to prompt the occurrence of topological phase transitions. For example, when disorder strength continuously increases and surpasses certain…

Mesoscale and Nanoscale Physics · Physics 2024-04-24 Aodong Li , Bingcong Xu , Biye Xie

We perform a matrix product state based density matrix renormalisation group analysis of the phases for the disordered one-dimensional Bose-Hubbard model. For particle densities N/L = 1, 1/2 and 2 we show that it is possible to obtain a…

Disordered Systems and Neural Networks · Physics 2015-08-21 Andrew M. Goldsborough , Rudolf A. Römer

Motivated by recent experiments [Y.J. Lin {\it et al.}, Nature {\bf 471}, 83 (2011)], we study Mott phases and superfluid-insulator (SI) transitions of two-species ultracold bosonic atoms in a two-dimensional square optical lattice with…

Strongly Correlated Electrons · Physics 2013-10-29 Saptarshi Mandal , Kush Saha , K. Sengupta

It is commonly accepted that there are no phase transitions in one-dimensional (1D) systems at a finite temperature, because long-range correlations are destroyed by thermal fluctuations. Here we demonstrate that the 1D gas of short-range…

Disordered Systems and Neural Networks · Physics 2015-05-14 I. L. Aleiner , B. L. Altshuler , G. V. Shlyapnikov

The current understanding of the superconductor-insulator transition is discussed level by level in a cyclic spiral-like manner. At the first level, physical phenomena and processes are discussed which, while of no formal relevance to the…

Superconductivity · Physics 2010-04-22 V. F. Gantmakher , V. T. Dolgopolov

Universal properties of the zero temperature superconductor-insulator transition in two-dimensional amorphous films are studied by extensive Monte Carlo simulations of bosons in a disordered medium. We report results for both short-range…

Condensed Matter · Physics 2009-10-22 M. Wallin , E. Sorensen , S. M. Girvin , A. P. Young

We investigate the superfluid (SF) to Bose glass (BG) quantum phase transition using extensive quantum Monte Carlo simulations of two-dimensional hard-core bosons in a random box potential. $T=0$ critical properties are studied by thorough…

Disordered Systems and Neural Networks · Physics 2015-04-22 Juan Pablo Álvarez Zúñiga , David J. Luitz , Gabriel Lemarié , Nicolas Laflorencie

We examine the equilibrium properties of lattice bosons with attractive on-site interactions in the presence of a three-body hard-core constraint that stabilizes the system against collapse and gives rise to a dimer superfluid phase formed…

Quantum Gases · Physics 2011-05-11 Lars Bonnes , Stefan Wessel

We study the interplay of superfluidity and glassy ordering of hard core bosons with random, frustrating interactions. This is motivated by bosonic systems such as amorphous supersolid, disordered superconductors with preformed pairs, and…

Disordered Systems and Neural Networks · Physics 2013-05-30 Xiaoquan Yu , Markus Mueller

We study the superfluid-insulator transition of a particle-hole symmetric system of long-range interacting bosons in a time-dependent random potential in two dimensions, using the momentum-shell renormalization-group method. We find a new…

Superconductivity · Physics 2009-10-31 Kihong Kim

We investigate the zero-temperature superfluid to insulator transitions in a diluted two-dimensional quantum rotor model with particle-hole symmetry. We map the Hamiltonian onto a classical $(2+1)$-dimensional XY model with columnar…

Quantum Gases · Physics 2016-10-04 Thomas Vojta , Jack Crewse , Martin Puschmann , Daniel Arovas , Yury Kiselev