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We investigate the Bose glass phase and the insulator-to-superfluid transition in the two-dimensional disordered boson Hubbard model in the Villain representation via Monte Carlo simulations. In the Bose glass phase the probability…

Superconductivity · Physics 2015-06-25 J. Kisker , H. Rieger

We review the physics of the Bose-Hubbard model with disorder in the chemical potential focusing on recently published analytical arguments in combination with quantum Monte Carlo simulations. Apart from the superfluid and Mott insulator…

Disordered Systems and Neural Networks · Physics 2015-06-16 Lode Pollet

We present a quantum Monte Carlo study of the "quantum glass" phase of the 2D Bose-Hubbard model with random potentials at filling $\rho=1$. In the narrow region between the Mott and superfluid phases the compressibility has the form…

Quantum Gases · Physics 2015-04-14 Yancheng Wang , Wenan Guo , Anders W. Sandvik

The phase diagram of the Bose-Hubbard model in the presence of off-diagonal disorder is determined using Quantum Monte Carlo simulations. A sequence of quantum glass phases intervene at the interface between the Mott insulating and the…

Disordered Systems and Neural Networks · Physics 2009-11-13 Pinaki Sengupta , Stephan Haas

We investigate the behavior of the quasi-particle energy gap near quantum phase transitions in a two-dimensional disordered boson Hubbard model at a commensurate filling. Via Monte Carlo simulations of ensembles with fixed numbers of…

Strongly Correlated Electrons · Physics 2009-11-11 Ji-Woo Lee , Min-Chul Cha

We study the square-lattice Bose-Hubbard model with bounded random on-site energies at zero temperature. Starting from a dual representation obtained from a strong-coupling expansion around the atomic limit, we employ a real-space block…

Disordered Systems and Neural Networks · Physics 2013-12-17 Anthony Hegg , Frank Krüger , Philip W. Phillips

We study the zero-temperature phase transitions of a two-dimensional disordered boson Hubbard model at incommensurate boson densities. Via matrix diagonalization and quantum Monte Carlo simulations, we construct the phase diagram and…

Condensed Matter · Physics 2007-05-23 Sung Yong Park , Ji-Woo Lee , Min-Chul Cha , M. Y. Choi , B. J. Kim , Doochul Kim

We investigate the instabilities of the Mott-insulating phase of the weakly disordered Bose-Hubbard model within a renormalization group analysis of the replica field theory obtained by a strong-coupling expansion around the atomic limit.…

Disordered Systems and Neural Networks · Physics 2013-05-29 Frank Krüger , Seungmin Hong , Philip Phillips

We study the Bose-Hubbard model in the presence of on-site disorder in the canonical ensemble and conclude that the local density of the Bose glass phase behaves differently at incommensurate filling than it does at commensurate one.…

Disordered Systems and Neural Networks · Physics 2018-12-05 K. Hettiarachchilage , C. Moore , V. G. Rousseau , K. -M. Tam , M. Jarrell , J. Moreno

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 use quantum Monte Carlo simulations to study the phase diagram of hard-core bosons with short-ranged {\it attractive} interactions, in the presence of uniform diagonal disorder. It is shown that moderate disorder stabilizes a glassy…

Disordered Systems and Neural Networks · Physics 2013-05-29 Long Dang , Massimo Boninsegni , Lode Pollet

The Mott insulator-to-superfluid transition exhibited by the Bose-Hubbard model on a two-dimensional square lattice occurs for any value of the chemical potential, but becomes critical at the tips of the so-called Mott lobes only. Employing…

Statistical Mechanics · Physics 2019-12-03 Sören Sanders , Martin Holthaus

We study one-dimensional truncated (no more than 2 particles on a site) bosonic Hubbard model in both repulsive and attractive regimes by exact diagonalization and exact worldline Monte Carlo simulation. In the commensurate case (one…

Condensed Matter · Physics 2009-10-30 V. A. Kashurnikov , A. V. Krasavin , B. V. Svistunov

We prove the absence of a direct quantum phase transition between a superfluid and a Mott insulator in a bosonic system with generic, bounded disorder. We also prove compressibility of the system on the superfluid--insulator critical line…

Statistical Mechanics · Physics 2015-05-13 L. Pollet , N. V. Prokof'ev , B. V. Svistunov , M. Troyer

The emergence of a compressible insulator phase, known as the Bose glass, is characteristic of the interplay of interactions and disorder in correlated Bose fluids. While widely studied in tight-binding models, its observation remains…

Quantum Gases · Physics 2020-08-13 Hepeng Yao , Thierry Giamarchi , Laurent Sanchez-Palencia

By means of Monte Carlo techniques, we study the role of disorder on a system of hard-core bosons in a two-leg ladder with both intra-chain ($t$) and inter-chain ($t^\prime$) hoppings. We find that the phase diagram as a function of the…

Strongly Correlated Electrons · Physics 2015-05-27 Juan Carrasquilla , Federico Becca , Michele Fabrizio

Structural and transport properties of interacting localized flux lines in the Bose glass phase of irradiated superconductors are studied by means of Monte Carlo simulations near the matching field B_Phi, where the densities of vortices and…

Superconductivity · Physics 2009-10-31 Carsten Wengel , Uwe Claus T"auber

We study the properties of the Bose glass phase of localized flux lines in irradiated superconductors near the matching field $B_{\Phi}$. Repulsive vortex interactions destroy the Mott insulator phase predicted to occur at $B=B_\Phi$. For…

Superconductivity · Physics 2016-08-15 Carsten Wengel , Uwe Claus Täuber

Systems of disordered interacting bosons with particle-hole symmetry can undergo a quantum phase transition between the superfluid phase and the Mott glass phase which is a gapless incompressible insulator. We employ large-scale Monte Carlo…

Strongly Correlated Electrons · Physics 2019-04-02 Cameron Lerch , Thomas Vojta

We establish the phase diagram of the disordered three-dimensional Bose-Hubbard model at unity filling, which has been controversial for many years. The theorem of inclusions, proven in Ref. [1], states that the Bose glass phase always…

Disordered Systems and Neural Networks · Physics 2010-09-10 V. Gurarie , L. Pollet , N. V. Prokof'ev , B. V. Svistunov , M. Troyer
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