Onset of superfluidity in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>films adsorbed on disordered substrates

Crowell, P. A.; Keuls, F. W. Van; Reppy, J. D.

doi:10.1103/physrevb.55.12620

Cited by 80 publications

(89 citation statements)

References 58 publications

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“…The detection of the Bose glass phase in these systems has remained ambiguous however. The experiments on 4 He in porous media for example were more convincingly explained by a model which has a constant density of states for low and for high energies, with a gap in between [63]. Recently, also cold atom systems came at our disposal, with their unique properties of tunability and control.…”

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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“…Increasing the field beyond a critical value drives the system through a QPT from Bose glass to magnetic BEC, characterized by spontaneous long-range antiferromagnetism in the plane transverse to the field. In particular the critical temperature to condensation is shown to scale with the applied field as T c ∼ |h − h c | φ with φ = 1.1 (1), where h represents the dimensionless magnetic field and h c its critical value. A seemingly puzzling feature is that the only theoretical prediction for the φ exponent, stemming from Ref.…”

Section: Introductionmentioning

confidence: 99%

Quantum critical scaling at a Bose-glass/superfluid transition: Theory and experiment for a model quantum magnet

Miclea

Weickert

et al. 2012

Phys. Rev. B

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In this paper we investigate the quantum phase transition from magnetic Bose glass to magnetic Bose-Einstein condensation induced by a magnetic field in NiCl2·4SC(NH2)2 (dichloro-tetrakis-thiourea-Nickel, or DTN), doped with Br (Br-DTN) or site diluted. Quantum Monte Carlo simulations for the quantum phase transition of the model Hamiltonian for Br-DTN, as well as for site-diluted DTN, are consistent with conventional scaling at the quantum critical point and with a critical exponent z verifying the prediction z = d; moreover the correlation length exponent is found to be ν = 0.75(10), and the order parameter exponent to be β = 0.95(10). We investigate the low-temperature thermodynamics at the quantum critical field of Br-DTN both numerically and experimentally, and extract the power-law behavior of the magnetization and of the specific heat. Our results for the exponents of the power laws, as well as previous results for the scaling of the critical temperature to magnetic ordering with the applied field, are incompatible with the conventional crossover-scaling Ansatz proposed by Fisher et al., [Phys. Rev. B 40, 546 (1989)], but they can all be reconciled within a phenomenological Ansatz in the presence of a dangerously irrelevant operator.

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“…The introduction of disorder causes a further phase transition into a localised Bose glass phase, which is insulating but remains compressible [2]. The experimental study of phase transitions in bosonic systems is possible using helium in porous media [3,4], Josephson junction arrays [5], thin films [6,7] and, more recently, optical lattices [1,8]. It is now possible to introduce disorder in a controlled manner to optical lattices using speckle potentials [9,10] to study these transitions directly [11,12].…”

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confidence: 99%

Using entanglement to discern phases in the disordered one-dimensional Bose-Hubbard model

Goldsborough¹,

Römer²

2015

EPL

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-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 full phase diagram using only the entanglement properties, which come for free when performing an update. We confirm the presence of Mott insulating, superfluid and Bose glass phases when N/L = 1 and 1/2 (without the Mott insulator) as found in previous studies. For the N/L = 2 system we find a double-lobed superfluid phase with possible re-entrance.

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Onset of superfluidity inHe4films adsorbed on disordered substrates

Cited by 80 publications

References 58 publications

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

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

Quantum critical scaling at a Bose-glass/superfluid transition: Theory and experiment for a model quantum magnet

Using entanglement to discern phases in the disordered one-dimensional Bose-Hubbard model

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