Wigner crystallization in the quantum 1D jellium at all densities

Jansen, S and Jung, P (2014) Wigner crystallization in the quantum 1D jellium at all densities. Communications in Mathematical Physics, 331 (3). pp. 1133-1154. ISSN 0010-3616

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Abstract

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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Probability and Statistics Research Group
Subjects: Q Science > QA Mathematics
Depositing User: Richard Chambers
Date Deposited: 13 Jan 2017 17:09
Last Modified: 06 Mar 2017 10:45
URI: http://sro.sussex.ac.uk/id/eprint/66207

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