Superfluid/Bose-glass transition in one dimension

Ristivojević, Zoran; Petković, Aleksandra; Doussal, Pierre Le; Giamarchi, Thierry

doi:10.1103/physrevb.90.125144

Cited by 24 publications

(23 citation statements)

References 51 publications

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“…A recent two-loop calculation confirmed this scenario, with a universal jump at the BKT transition K c = 3/2 [24,25]. Below this value, SF is destroyed by quantum phase slips.…”

mentioning

confidence: 85%

Weak- versus strong-disorder superfluid—Bose glass transition in one dimension

et al. 2017

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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 from weak to strong disorder. As a function of interaction and disorder strength, we identify a Berezinskii-Kosterlitz-Thouless critical line with two different regimes. At small attraction where critical disorder is weak compared to the bandwidth, the critical Luttinger parameter Kc takes its universal Giamarchi-Schulz value Kc = 3/2. Conversely, a nonuniversal Kc > 3/2 emerges for stronger attraction where weak-link physics is relevant. In this strong disorder regime, the transition is characterized by self-similar power-law distributed weak links with a continuously varying characteristic exponent α.

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“…A recent two-loop calculation confirmed this scenario, with a universal jump at the BKT transition K c = 3/2 [24,25]. Below this value, SF is destroyed by quantum phase slips.…”

mentioning

confidence: 85%

Weak- versus strong-disorder superfluid—Bose glass transition in one dimension

et al. 2017

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“…While early work established the existence of such a phase [29][30][31][32][33][60][61][62], there is an ongoing discussion on the nature of the transition between the delocalized superfluid and the localized phase (which, in the language of bosons, is a Bose-glass phase [63]). This question is not at the focus of our work and we refer the reader to the pertinent literature for details [46,[64][65][66][67][68][69][70][71][72]. …”

Section: Ground-state Propertiesmentioning

confidence: 99%

Many-body localization of spinless fermions with attractive interactions in one dimension

et al. 2018

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We study the finite-energy density phase diagram of spinless fermions with attractive interactions in one dimension in the presence of uncorrelated diagonal disorder. Unlike the case of repulsive interactions, a delocalized Luttinger-liquid phase persists at weak disorder in the ground state, which is a well-known result. We revisit the ground-state phase diagram and show that the recently introduced occupation-spectrum discontinuity computed from the eigenspectrum of the one-particle density matrix is noticeably smaller in the Luttinger liquid compared to the localized regions. Moreover, we use the functional renormalization group scheme to study the finite-size dependence of the conductance, which also resolves the existence of the Luttinger liquid and is computationally cheap. Our main results concern the finite-energy density case. Using exact diagonalization and by computing various established measures of the many-body localization-delocalization transition, we argue that the zero-temperature Luttinger liquid smoothly evolves into a finite-energy density ergodic phase without any intermediate phase transition.

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“…At large interactions and large disorder, finally, strong correlations should lead back to an insulating phase, distinct from the above mentioned Mott insulator in the clean setup. Although this picture is qualitatively wellunderstood, the full quantitative characterization of the disordered Bose-Hubbard model remains challenging: considerable efforts have been devoted to study its phase diagram, in particular the location and the nature of the glassy phase [23][24][25][26][27][28][29][30][31][32][33][34]. Developments on the issue, with a special emphasis on numerical simulations, have been reviewed in [35].…”

Section: Introductionmentioning

confidence: 99%

Superfluid density and quasi-long-range order in the one-dimensional disordered Bose–Hubbard model

et al. 2016

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We study the equilibrium properties of the one-dimensional disordered Bose-Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid stiffness and superfluid correlations close to the superfluid to glass transition line, obtaining accurate locations of the critical points. By studying the statistics of the exponent of the power-law decay of the correlation, we determine the boundary between the superfluid region and the Bose glass phase in the regime of strong disorder and in the weakly interacting region, not explored numerically before. In the former case our simulations are in agreement with previous Monte Carlo calculations.

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Superfluid/Bose-glass transition in one dimension

Cited by 24 publications

References 51 publications

Weak- versus strong-disorder superfluid—Bose glass transition in one dimension

Weak- versus strong-disorder superfluid—Bose glass transition in one dimension

Many-body localization of spinless fermions with attractive interactions in one dimension

Superfluid density and quasi-long-range order in the one-dimensional disordered Bose–Hubbard model

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