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Wigner crystallization in the quantum 1D jellium at all densities

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posted on 2023-06-09, 04:41 authored by S Jansen, P Jung
The jellium is a model, introduced by Wigner (Phys Rev 46(11):1002, 1934), for a gas of electrons moving in a uniform neutralizing background of positive charge. Wigner suggested that the repulsion between electrons might lead to a broken translational symmetry. For classical one-dimensional systems this fact was proven by Kunz (Ann Phys 85(2):303–335, 1974), while in the quantum setting, Brascamp and Lieb (Functional integration and its applications. Clarendon Press, Oxford, 1975) proved translation symmetry breaking at low densities. Here, we prove translation symmetry breaking for the quantum one-dimensional jellium at all densities.

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Publication status

  • Published

File Version

  • Accepted version

Journal

Communications in Mathematical Physics

ISSN

0010-3616

Publisher

Springer Verlag

Issue

3

Volume

331

Page range

1133-1154

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Probability and Statistics Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2017-01-13

First Open Access (FOA) Date

2017-01-13

First Compliant Deposit (FCD) Date

2017-01-13

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