The two-dimensional superconductor-insulator transition

Goldman, A. M.; Liu, Y.

doi:10.1016/0167-2789(94)00260-w

Cited by 35 publications

(28 citation statements)

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“…They include Cooper pairs in thin superconducting films [61], Josephson junction arrays [62], and 4 He in porous media [63] and on substrates [64]. The detection of the Bose glass phase in these systems has remained ambiguous however.…”

Section: Experimental Systemsmentioning

confidence: 99%

A review of Monte Carlo simulations for the Bose–Hubbard model with diagonal disorder

Pollet¹

2013

Comptes Rendus. Physique

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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 phases that can occur in this system without disorder, disorder allows for an additional phase, called the Bose glass phase. The topology of the phase diagram is subject to strong theorems proving that the Bose Glass phase must intervene between the superfluid and the Mott insulator and implying a Griffiths transition between the Mott insulator and the Bose glass. The full phase diagrams in 3d and 2d are discussed, and we zoom in on the insensitivity of the transition line between the superfluid and the Bose glass in the close vicinity of the tip of the Mott insulator lobe. We briefly comment on the established and remaining questions in the 1d case, and give a short overview of numerical work on related models.

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Section: Experimental Systemsmentioning

confidence: 99%

A review of Monte Carlo simulations for the Bose–Hubbard model with diagonal disorder

Pollet¹

2013

Comptes Rendus. Physique

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“…The T 0 transition between the superfluid (SF) and insulating (I) phases is believed to determine properties of various condensed matter systems: 4 He in porous media, aerogels, and various substrates [1], thin superconducting films [2], Josephsonjunction arrays [3], disordered magnets [4], etc.…”

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confidence: 99%

Superfluid-Insulator Transition in Commensurate Disordered Bosonic Systems: Large-Scale Worm Algorithm Simulations

2004

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We report results of large-scale Monte Carlo simulations of superfluid-insulator transitions in disordered commensurate 2D bosonic systems. In the off-diagonal disorder case, we find that the transition is to a gapless incompressible insulator, and its dynamical critical exponent is z=1.5(2). In the diagonal-disorder case, we prove the conjecture that rare statistical fluctuations are inseparable from critical fluctuations on the largest scales and ultimately result in crossover to the generic universality class (apparently with z=2). However, even at strong disorder, the universal behavior sets in only at very large space-time distances. This explains why previous studies of smaller clusters mimicked a direct superfluid-Mott-insulator transition.

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“…High-T c superconductors are layered materials and exhibit a superconductor-insulator transition at low doping. In an attempt to understand the two-dimensional aspect of this new phenomenon, an appreciable amount of effort has been focussed on the low-temperature behaviour of thin films made out of the low-T c superconductors [1]. In these experiments, one observes that the film undergoes a transition from a superconductor to an insulator at T → 0, as one tunes the thickness, disorder or the magnetic field [1].…”

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confidence: 99%