Two interacting particles at a metal-insulator transition

Eilmes, Andrzej; Grimm, Uwe; Römer, Rudolf A.; Schreiber, Michael

doi:10.1007/s100510050721

Cited by 23 publications

(39 citation statements)

References 24 publications

(68 reference statements)

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“…The problem involving disorder and electron-electron interaction has been a subject of great interest due to their competitive roles. [18][19][20][21][22][23][24][25][26][27][28][29][30][31] It has been shown that an on-site Hubbard interaction weakens the Anderson localization induced by disorder. Shepelyansky 18 pioneered the study of two interacting electrons moving in a disordered 1D system and obtained an enhanced propagation effect of an interacting electron pair over distances larger than the single-particle localization length, as indeed predicted in disordered mesoscopic rings threaded by a magnetic flux.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of two interacting electrons in Anderson-Hubbard chains with long-range correlated disorder: Effect of a static electric field

et al. 2010

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We investigate the influence of the on-site Hubbard interaction U on the eigenstates and dynamics of two electrons restricted to move in a linear chain with long-range correlated disorder. We solve the time-dependent Schrödinger equation to follow the time evolution of an initially localized Gaussian two-electron wave packet. In the regime of strongly correlated disorder, for which one-electron extended eigenstates emerge near the band center, the electron-electron coupling promotes the trapping of a finite portion of the wave packet. In the presence of a uniform electric field, the wave packet develops complex Bloch oscillations. The power spectrum of the centroid's velocity trace shows a splitting near the typical semiclassical Bloch frequency, as well as a frequency doubling phenomenon for intermediate couplings which is related to the bounded states components that are present in the wave packet. Finally, we show that localized and extended two-electron eigenstates coexist near the band center with the level spacing distribution showing a universal Poissonian form irrespective to the Hubbard coupling.

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Section: Introductionmentioning

confidence: 99%

Dynamics of two interacting electrons in Anderson-Hubbard chains with long-range correlated disorder: Effect of a static electric field

et al. 2010

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“…There have been several studies on the AAM with interactions including Ref. [35] where a two-particle AAM with interactions was studied, and Ref. [36] where the interacting AAM was studied at infinite temperature in the context of many-body localization.…”

Section: Entanglement Properties Of the Interacting Modelmentioning

confidence: 99%

Signatures of metal-insulator and topological phase transitions in the entanglement of one-dimensional disordered fermions

Mondragon-Shem

Hughes

2014

Phys. Rev. B

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We study one-dimensional disordered fermions that either undergo metal-insulator transitions or topological phase transitions to become trivial Anderson insulators. We focus on using entanglement to elucidate how the spatial, momentum, and internal degrees of freedom of fermions are affected by the presence of disorder in such cases. We develop entanglement tools that reveal the existence of metallic states in the presence of disorder and further show clear signatures of the corresponding localization transition even in the presence of interactions. In systems where the internal degrees of freedom are coupled with the motion of the electrons, topological phases develop. We subject a topological insulator model to different types of disorder and discuss how the topological aspects of the system can be captured through entanglement, even at strong disorder.

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“…Earlier studies of two interacting particles (2IP) in random lattices concluded that interaction inflates the single particle localization length ξ 1 up to another finite localization length ξ 2 [10][11][12][13][14][15][16][17]. For quasiperiodic potentials the early predictions differed from an incremental increase of localization length to a decrease of localization length in the insulating regime [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Quantum subdiffusion with two- and three-body interactions

et al. 2017

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We study the dynamics of a few-quantum-particle cloud in the presence of two-and three-body interactions in weakly disordered one-dimensional lattices. The interaction is dramatically enhancing the Anderson localization length ξ1 of noninteracting particles. We launch compact wave packets and show that few-body interactions lead to transient subdiffusion of wave packets, m2 ∼ t α , α < 1, on length scales beyond ξ1. The subdiffusion exponent is independent of the number of particles. Two-body interactions yield α ≈ 0.5 for two and three particles, while three-body interactions decrease it to α ≈ 0.2. The tails of expanding wave packets exhibit exponential localization with a slowly decreasing exponent. We relate our results to subdiffusion in nonlinear random lattices, and to results on restricted diffusion in high-dimensional spaces like e.g. on comb lattices.

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Two interacting particles at a metal-insulator transition

Cited by 23 publications

References 24 publications

Dynamics of two interacting electrons in Anderson-Hubbard chains with long-range correlated disorder: Effect of a static electric field

Dynamics of two interacting electrons in Anderson-Hubbard chains with long-range correlated disorder: Effect of a static electric field

Signatures of metal-insulator and topological phase transitions in the entanglement of one-dimensional disordered fermions

Quantum subdiffusion with two- and three-body interactions

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