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Using large-scale simulations based on matrix product state and quantum Monte Carlo techniques, we study the superfluid to Bose glass-transition for one-dimensional attractive hard-core bosons at zero temperature, across the full regime…

Disordered Systems and Neural Networks · Physics 2017-11-15 Elmer V. H. Doggen , Gabriel Lemarié , Sylvain Capponi , Nicolas Laflorencie

We present numerical evidence from Monte Carlo simulations that the superfluid-insulator quantum phase transition of interacting bosons subject to strong disorder in one dimension is controlled by the strong-randomness critical point. At…

Disordered Systems and Neural Networks · Physics 2013-12-04 Susanne Pielawa , Ehud Altman

We study the superfluid-insulator transition in a one dimensional system of interacting bosons, modeled as a disordered Josephson array, using a strong randomness real space renormalization group technique. Unlike perturbative methods, this…

Disordered Systems and Neural Networks · Physics 2015-05-14 Ehud Altman , Yariv Kafri , Anatoli Polkovnikov , Gil Refael

We show that in the regime when strong disorder is more relevant than field quantization the superfluid--to--Bose-glass criticality of one-dimensional bosons is preceded by the prolonged logarithmically slow classical-field renormalization…

Disordered Systems and Neural Networks · Physics 2015-06-15 L. Pollet , N. V. Prokof'ev , B. V. Svistunov

We determine the phase diagram of a one-dimensional Bose gas in the presence of disorder with short- and long-range correlations, the latter decaying with distance as $1/|x|^{1+\sigma}$. When $\sigma<0$, the Berezinskii-Kosterlitz-Thouless…

Quantum Gases · Physics 2024-10-30 Nicolas Dupuis , Andrei A. Fedorenko

We study one dimensional disordered bosons at large commensurate filling. Using a real space renormalization group approach we find a new random fixed point which controls a phase transition from a superfluid to an incompressible…

Disordered Systems and Neural Networks · Physics 2007-05-23 Ehud Altman , Yariv Kafri , Anatoli Polkovnikov , Gil Refael

We study a one-dimensional disordered Bose fluid using bosonization, the replica method and a nonperturbative functional renormalization-group approach. We find that the Bose-glass phase is described by a fully attractive strong-disorder…

Quantum Gases · Physics 2020-05-14 Nicolas Dupuis , Romain Daviet

The superconducting transition in presence of strong columnar disorder parallel to the magnetic field is considered. A solvable model appropriate for description of the broad crossover regime towards the true "glassy" critical behavior is…

Superconductivity · Physics 2008-02-03 Igor F. Herbut

I argue that the system of interacting bosons at zero temperature and in random external potential possesses a simple critical point which describes the proliferation of disorder-induced topological defects in the superfluid ground state,…

Superconductivity · Physics 2009-10-31 Igor F. Herbut

We study the superfluid--Bose-glass transition in a one-dimensional lattice boson model with power-law decaying hopping amplitude $t_{i-j}\sim 1/|i-j|^\alpha$, using bosonization and the nonperturbative functional renormalization group…

Quantum Gases · Physics 2024-10-01 Nicolas Dupuis

We discuss a quantum transition from a superfluid to a Mott glass phases in disordered Bose-systems by the example of an isotropic spin-$\frac12$ antiferromagnet with spatial dimension $d\ge2$ and with disorder in tunable exchange…

Strongly Correlated Electrons · Physics 2017-10-24 A. V. Syromyatnikov

We present a Monte Carlo study of the Bose-glass to superfluid transition in the three-dimensional Bose-Hubbard model. Simulations are performed on the classical (3 + 1) dimensional link-current representation using the geometrical worm…

Strongly Correlated Electrons · Physics 2007-05-23 Peter Hitchcock , Erik S. Sorensen

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

We consider a one-dimensional system of interacting bosons in a random potential. At zero temperature, it can be either in the superfluid or in the insulating phase. We study the transition at weak disorder and moderate interaction. Using a…

The critical phenomenon of the zero temperature superfluid--Bose-glass phase transition for hard-core bosons on a three-dimensional disordered lattice is studied using a quantum real-space renormalization-group method. The…

Condensed Matter · Physics 2009-10-22 Lizeng Zhang , Xiao-Qian Wang

We develop a gauge theory of the critical behavior of the topological excitations-driven Berezinskii-Kosterlitz-Thouless (BKT) phase transition in the XY model with weak quenched disorder. We find that while in two-dimensions the liquid of…

Statistical Mechanics · Physics 2018-01-11 M. G. Vasin , V. N. Ryzhov , V. M. Vinokur

A pair of recent Monte Carlo studies have reported evidence for and against a crossover from weak to strong-disorder criticality in the one-dimensional dirty boson problem. The Monte Carlo analyses rely on measurement of two observables:…

Disordered Systems and Neural Networks · Physics 2013-12-16 Shankar Iyer , David Pekker , Gil Refael

We present an asymptotically exact renormalization-group theory of the superfluid--insulator transition in one-dimensional disordered systems, with emphasis on an accurate description of the interplay between the Giamarchi--Schulz…

Strongly Correlated Electrons · Physics 2016-04-21 Zhiyuan Yao , Lode Pollet , Nikolay Prokof'ev , Boris Svistunov

We study the zero-temperature phase transition of a two-dimensional disordered boson Hubbard model. The phase diagram of this model is constructed in terms of the disorder strength and the chemical potential. Via quantum Monte Carlo…

Disordered Systems and Neural Networks · Physics 2009-11-07 Ji-Woo Lee , Min-Chul Cha , Doochul Kim

We discuss standard and tighter upper bounds on the critical temperature $T_c$ of two-dimensional (2D) superconductors and superfluids versus particle density $n$ or filling factor $\nu$ for continuum and lattice systems from the…

Superconductivity · Physics 2023-03-21 Tingting Shi , Wei Zhang , C. A. R. Sá de Melo
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