Transport in a disordered tight-binding chain with dephasing

Žnidarič, Marko; Horvat, Martin

doi:10.1140/epjb/e2012-30730-9

Cited by 71 publications

(71 citation statements)

References 48 publications

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“…The dashed curves for homogenous decoherence clearly show decoherence-assisted transport, and agree qualitatively well with other studies assuming homogenous decoherence [5,6,10,[12][13][14][15][16][17]. The solid curves for random uncorrelated decoherence exhibit divergencies at the critical degree of decoherence p * , which is shown as a function of the disorder strength σ in the inset of figure 1.…”

Section: Disordered Tight-binding Chainssupporting

confidence: 89%

“…It can be related by (11) to a critical phasecoherence length and is a function of the disorder strength σ, see (10). In a completely different way, we obtained (17) already in [8].…”

Section: Disordered Tight-binding Chainsmentioning

confidence: 99%

“…In this case by performing the sums we get ρ = p (38) Substituting (10) in (9), we can express α ± as a function of the disorder σ 2α ± = 1 ± 1…”

Section: B Resistivity Of Disordered Tight-binding Chains Under the Ementioning

confidence: 99%

“…This raises then the fundamental, but up to now only partially answered question, whether decoherence enhances or reduces transport. In this respect tight-binding chains [5][6][7][8][9][10], molecular wires [11][12][13] and aggregates [14][15][16][17] were studied. Surprisingly it was found that the transport can be enhanced by decoherence, a phenomenon referred to as decoherence-assisted transport.…”

Section: Introductionmentioning

confidence: 99%

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Localization under the effect of randomly distributed decoherence

2014

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Abstract. Electron transport through disordered quasi one-dimensional quantum systems is studied. Decoherence is taken into account by a spatial distribution of virtual reservoirs, which represent local interactions of the conduction electrons with their environment. We show that the decoherence distribution has observable effects on the transport. If the decoherence reservoirs are distributed randomly without spatial correlations, a minimal degree of decoherence is necessary to obtain Ohmic conduction. Below this threshold the system is localized and thus, a decoherence driven metal-insulator transition is found. In contrast, for homogenously distributed decoherence, any finite degree of decoherence is sufficient to destroy localization. Thus, the presence or absence of localization in a disordered one-dimensional system may give important insight about how the electron phase is randomized.

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Section: Disordered Tight-binding Chainssupporting

confidence: 89%

“…It can be related by (11) to a critical phasecoherence length and is a function of the disorder strength σ, see (10). In a completely different way, we obtained (17) already in [8].…”

Section: Disordered Tight-binding Chainsmentioning

confidence: 99%

“…In this case by performing the sums we get ρ = p (38) Substituting (10) in (9), we can express α ± as a function of the disorder σ 2α ± = 1 ± 1…”

Section: B Resistivity Of Disordered Tight-binding Chains Under the Ementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Localization under the effect of randomly distributed decoherence

2014

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“…An important property of dissipative systems where H is quadratic in fermionic operators (via Jordan-Wigner transformation) and Lindblad operators are Hermitian (but not necessarily quadratic), and our XX model is an example of such a system, is that equations for correlation functions split into a hierarchy of equations according to their order, i.e., the number of fermionic operators in the expectation value [36,37]. This enables one to exactly calculate few-point expectation values in the steady state, for instance in the presence of an additional boundary driving [14,38,39], an incoherent bulk hopping [36,40], or special engineered dissipation [37].…”

Section: A XX With Dephasingmentioning

confidence: 90%

Relaxation times of dissipative many-body quantum systems

2015

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We study relaxation times, also called mixing times, of quantum many-body systems described by a Lindblad master equation. We in particular study the scaling of the spectral gap with the system length, the so-called dynamical exponent, identifying a number of transitions in the scaling. For systems with bulk dissipation we generically observe different scaling for small and for strong dissipation strength, with a critical transition strength going to zero in the thermodynamic limit. We also study a related phase transition in the largest decay mode. For systems with only boundary dissipation we show a generic bound that the gap can not be larger than ∼ 1/L. In integrable systems with boundary dissipation one typically observes scaling ∼ 1/L 3 , while in chaotic ones one can have faster relaxation with the gap scaling as ∼ 1/L and thus saturating the generic bound. We also observe transition from exponential to algebraic gap in systems with localized modes.

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Dephasing enhanced spin transport in the ergodic phase of a many‐body localizable system

et al. 2016

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We study high temperature spin transport in a disordered Heisenberg chain in the ergodic regime when bulk dephasing is present. We find that while dephasing always renders the transport diffusive, there is nonetheless a remnant of the diffusive to sub-diffusive transition found in a system without dephasing manifested in the behaviour of the diffusion constant with the dephasing strength. By studying finite-size effects we show numerically and theoretically that this feature is caused by the competition between large crossover length scales associated to disorder and dephasing that control the dynamics observed in the thermodynamic limit. We demonstrate that this competition may lead to a dephasing enhanced transport in this model.

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Transport in a disordered tight-binding chain with dephasing

Cited by 71 publications

References 48 publications

Localization under the effect of randomly distributed decoherence

Localization under the effect of randomly distributed decoherence

Relaxation times of dissipative many-body quantum systems

Dephasing enhanced spin transport in the ergodic phase of a many‐body localizable system

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