Effect of randomness on the Mott state

Pang, Hanbin; Liang, Shoudan; Annett, James F.

doi:10.1103/physrevlett.71.4377

Cited by 29 publications

(31 citation statements)

References 14 publications

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“…15,19 In other words, the CDW above this point corresponds to a Mott insulator state. For short chains it is not possible to pinpoint where this gap begins.…”

Section: B Clean Phase Spacementioning

confidence: 99%

“…The first DMRG study 15 focused on the effect of disorder on the Mott state. The authors conclude that even weak disorder destroys the charge gap and long-range order associated with the CDW state ͑although the nature of elementary excitations remains unchanged͒.…”

Section: Previous Workmentioning

confidence: 99%

“…Without randomness the present model can be mapped to an XXZ spin-chain model and solved exactly for half-filling. [15][16][17][18] A program was constructed to perform exact diagonalizations on short chains in order to compare results. This was necessary because the method under development does not use the particle occupation basis.…”

Section: B Clean Phase Spacementioning

confidence: 99%

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Disorder and interactions in one-dimensional systems

Carter

MacKinnon

2005

Phys. Rev. B

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We present a numerical approach to the study of disorder and interactions in quasi-one-dimensional ͑1D͒ systems which combines aspects of the transfer matrix method and the density matrix renormalization group which have been successfully applied to disorder and interacting problems, respectively. The method is applied to spinless fermions in 1D, and the existence of a conducting state is demonstrated in the presence of attractive interactions.

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“…15,19 In other words, the CDW above this point corresponds to a Mott insulator state. For short chains it is not possible to pinpoint where this gap begins.…”

Section: B Clean Phase Spacementioning

confidence: 99%

Section: Previous Workmentioning

confidence: 99%

Section: B Clean Phase Spacementioning

confidence: 99%

See 1 more Smart Citation

Disorder and interactions in one-dimensional systems

Carter

MacKinnon

2005

Phys. Rev. B

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“…However, the interplay between localization and interaction can be readily studied in this simple model. The interest on disordered one-dimensional interacting models of fermions (with and without spin) can also be assessed from the large variety of analytical [19,20,21,22,23,24] and numerical [25,26,27,28,29,30,31,32] techniques that have been applied to them.…”

Section: Introductionmentioning

confidence: 99%

Delocalization effects and charge reorganizations induced by repulsive interactions in strongly disordered chains

Weinmann

Schmitteckert²,

Jalabert³

et al. 2001

Eur. Phys. J. B

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Abstract. We study the delocalization effect of a short-range repulsive interaction on the ground state of a finite density of spinless fermions in strongly disordered one dimensional lattices. The density matrix renormalization group method is used to explore the charge density and the sensitivity of the ground state energy with respect to the boundary condition (the persistent current) for a wide range of parameters (carrier density, interaction and disorder). Analytical approaches are developed and allow to understand some mechanisms and limiting conditions. For weak interaction strength, one has a Fermi glass of Anderson localized states, while in the opposite limit of strong interaction, one has a correlated array of charges (Mott insulator). In the two cases, the system is strongly insulating and the ground state energy is essentially invariant under a twist of the boundary conditions. Reducing the interaction strength from large to intermediate values, the quantum melting of the solid array gives rise to a more homogeneous distribution of charges, and the ground state energy changes when the boundary conditions are twisted. In individual chains, this melting occurs by abrupt steps located at sample-dependent values of the interaction where an (avoided) level crossing between the ground state and the first excitation can be observed. Important charge reorganizations take place at the avoided crossings and the persistent currents are strongly enhanced around the corresponding interaction value. These large delocalization effects become smeared and reduced after ensemble averaging. They mainly characterize half filling and strong disorder, but they persist away of this optimal condition. PACS. 72.15.-v Electronic conduction in metals and alloy -73.20.Dx Electron states in low-dimensional structures -72.10.Bg General formulation of transport theory -05.60.Gg Quantum transport

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“…Without randomness the present model can be mapped to a XXZ spin chain model and solved exactly for half-filling [17][18][19][20].…”

Section: Clean Phase Spacementioning

confidence: 99%