Disorder and interactions in one-dimensional systems

Carter, Jonathan M.; MacKinnon, A.

doi:10.1103/physrevb.72.024208

Cited by 20 publications

(27 citation statements)

References 26 publications

(35 reference statements)

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“…Different quantities, such as density fluctuations [26] or the conductance [16], provide a similar estimation of localization effects. However the numerical value of λ ins c might depend weakly on the observable employed [27]. We present results for the density fluctuations,…”

Section: B Localization: Density Fluctuationsmentioning

confidence: 97%

Stability of the superfluid state in a disordered one-dimensional ultracold fermionic gas

Tezuka

García-García

2010

Phys. Rev. A

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We study a 1D Fermi gas with attractive short range-interactions in a disordered potential by the density matrix renormalization group (DMRG) technique. Our results can be tested experimentally by using cold atom techniques. We identify a region of parameters for which disorder enhances the superfluid state. As disorder is further increased, global superfluidity eventually breaks down. However this transition seems to occur before the transition to the insulator state takes place. This suggests the existence of an intermediate metallic 'pseudogap' phase characterized by strong pairing but no quasi long-range-order.

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Section: B Localization: Density Fluctuationsmentioning

confidence: 97%

Stability of the superfluid state in a disordered one-dimensional ultracold fermionic gas

Tezuka

García-García

2010

Phys. Rev. A

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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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“…In our original approach [9,10] we extended an existing chain by adding an extra site to each end of the system (figure 1).…”

Section: The Recursive Methodsmentioning

confidence: 99%

“…We have developed a new method [9,10] incorporating some of the ideas of DMRG and the transfer matrix method successfully used in the non-interacting case [11,12]. In this paper we will describe an improvement on that method and a generalization to finite cross-section.…”

Section: Introductionmentioning

confidence: 97%