Current noise as a probe for Wigner molecules

Cavaliere, Fabio; Gambetta, F. M.; Ziani, N. Traverso; Sassetti, Maura

doi:10.1088/0953-8984/27/42/425301

Cited by 2 publications

(2 citation statements)

References 66 publications

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“…The noteworthy feature of the results in Fig. 1 is that the density variation associated with the effective 1D classical Coulomb crystal is suppressed for k B T E c even though for a small range of temperature the variation can be temporarily enhanced [35][36][37]. In addition, we show in Fig.…”

Section: A Classical Limitmentioning

confidence: 53%

One-dimensional few-electron effective Wigner crystal in quantum and classical regimes

Sarma

2020

Phys. Rev. B

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A system of confined charged electrons interacting via the long-range Coulomb force can form a Wigner crystal due to their mutual repulsion. This happens when the potential energy of the system dominates over its kinetic energy, i.e., at low temperatures for a classical system and at low densities for a quantum one. At T = 0, the system is governed by quantum mechanics, and hence, the spatial density peaks associated with crystalline charge localization are sharpened for a lower average density. Conversely, in the classical limit of high temperatures, the crystalline spatial density peaks are suppressed (recovered) at a lower (higher) average density. In this paper, we study those two limits separately using an exact diagonalization of small one-dimensional (1D) systems containing few (< 10) electrons and propose an approximate method to connect them into a unified effective phase diagram for Wigner few-electron crystallization. The result is a qualitative quantum-classical crossover phase diagram of an effective 1D Wigner crystal. We show that although such a 1D system is at best an effective crystal with no true long-range order (and thus no real phase transition), the spatial density peaks associated with the quasi-crystallization should be experimentally observable in a few-electron 1D system. We find that the effective crystalline structure slowly disappears with both the crossover average density and crossover temperature for crystallization decreasing with increasing particle number, consistent with the absence of any true long-range 1D order. Thus, an effective few-electron 1D Wigner crystal may be construed either as existing at all densities (manifesting short-range order) or as non-existing at all densities (not manifesting any long range order). Within one unified description, we show through exact theoretical calculations how a small 1D system interacting through the long-range Coulomb interaction could manifest effective Wigner solid behavior both in classical and quantum regimes. arXiv:1901.00019v2 [cond-mat.mes-hall]

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Section: A Classical Limitmentioning

confidence: 53%

One-dimensional few-electron effective Wigner crystal in quantum and classical regimes

Sarma

2020

Phys. Rev. B

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“…carbon nanotubes [17,18], and in crystalline states for dusty plasma [19]. Several theoretical studies [20][21][22][23][24][25][26][27] have demonstrated that the physics of these systems with reduced dimensionality usually does not depend on the shape of the confinement but on its symmetries and strength (see Ref. [28] for an example where shape does have an influence).…”

Section: Introductionmentioning

confidence: 99%

Long- and short-range interaction footprints in entanglement entropies of two-particle Wigner molecules in 2D quantum traps

Cuestas¹,

Garagiola²,

Pont³

et al. 2017

Physics Letters A

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The occupancies and entropic entanglement measures for the ground state of two particles in a two-dimensional harmonic anisotropic trap are studied. We implement a method to study the large interaction strength limit for different short-and long-range interaction potentials that allows to obtain the exact entanglement spectrum and several entropies. We show that for long-range interactions, the von Neumann, min-entropy and the family of Rényi entropies remain finite for the anisotropic traps and diverge logarithmically for the isotropic traps. In the short-range interaction case the entanglement measures diverge for any anisotropic parameter due to the divergence of uncertainty in the momentum since for short-range interactions the relative position width vanishes.We also show that when the reduced density matrix has finite support the Rényi entropies present a non-analytical behaviour. *

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Current noise as a probe for Wigner molecules

Cited by 2 publications

References 66 publications

One-dimensional few-electron effective Wigner crystal in quantum and classical regimes

One-dimensional few-electron effective Wigner crystal in quantum and classical regimes

Long- and short-range interaction footprints in entanglement entropies of two-particle Wigner molecules in 2D quantum traps

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