Gaussian theory of superfluid–Bose-glass phase transition

Nisamaneephong, Pornthep; Zhang, Lizeng; Ma, Michael

doi:10.1103/physrevlett.71.3830

Cited by 19 publications

(22 citation statements)

References 28 publications

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“…This quantity is expected to approach a constant value for E → 0 in the superfluid phase, as for phonons in random elastic chains [16]. Moreover, some theoretical studies [7,22] have argued that the low-energy DOS should remain constant also in the Bose glass phase. The results of our mean-field calculation disagree with this latter prediction in the mean field limit.…”

Section: Density Of States and Localizationmentioning

confidence: 99%

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Mean-field phase diagram of the one-dimensional Bose gas in a disorder potential

2010

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We study the quantum phase transition of the 1D weakly interacting Bose gas in the presence of disorder. We characterize the phase transition as a function of disorder and interaction strengths, by inspecting the long-range behavior of the one-body density matrix as well as the drop in the superfluid fraction. We focus on the properties of the low-energy Bogoliubov excitations that drive the phase transition and find that the transition to the insulator state is marked by a diverging density of states and a localization length that diverges as a power-law with power 1. We draw the phase diagram and we observe that the boundary between the superfluid and the insulator phase is characterized by two different algebraic relations. These can be explained analytically by considering the limiting cases of zero and infinite disorder correlation length.

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Section: Density Of States and Localizationmentioning

confidence: 99%

“…[22]). Here |v E⊥ (r)| 2 is defined as the local density of Bogoliubov excitations per unit energy, i.e.,…”

Section: Density Of States and Localizationmentioning

confidence: 99%

Mean-field phase diagram of the one-dimensional Bose gas in a disorder potential

2010

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“…In Ref. [10] calculations analogous to our RPA (only for U =~) were used to study the transition and I principally in d = 1.…”

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confidence: 99%

Percolation-Enhanced Localization in the Disordered Bosonic Hubbard Model

et al. 1995

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We present a new (mean-field -RPA) study of the bosonic Hubbard model with chemical-potential disorder 5 at zero temperature. We get the fractional-filling phase diagram by monitoring sitedependent superfluid order parameters P; and fillings n; Our. theory suggests a new physical picture for the superf1uid -Bose glass transition, as a localization transition enhanced by the percolation of sites with negligible P; at a critical 5,: for 6 ( 6, . sites with substantial P s percolate across the lattice; for 5~5,. this percolation stops. This picture, though only approximately correct especially in low dimensions, should be relevant for Monte Carlo studies of the disordered bosonic Hubbard model. PACS numbers: 67.40.w, 05.30.Jp, 71.30.+h Models of interacting bosons, both with and without disorder [1 -4], are believed to be of relevance to experimental systems like 4He adsorbed in porous media [5] and disordered films [6], with superconducting and insulating phases. The novel interplay between interactions and disorder leads to ground states that can be a superAuid, a Bose glass, or a Mott insulator. Most studies begin with the bosonic Hubbard HamiltonianA /zt = -g a; aj + g n;(n; -1)

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“…The first part of this paper is to review the work that has been done before. 9 In that case, the destruction of the superfluidity is through the instability in the phase coherence of superfluid. Since the superfluid density is the true measure of the superfluidity, one also would like to calculate the the superfluid density and address the destruction of superfluidity directly from the superfluid density.…”

Section: Introductionmentioning

confidence: 99%