Wigner Crystallization in the Quantum 1D Jellium at All Densities

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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.
Publisher
SPRINGER
Issue Date
2014-11
Language
English
Article Type
Article
Citation

COMMUNICATIONS IN MATHEMATICAL PHYSICS, v.331, no.3, pp.1133 - 1154

ISSN
0010-3616
DOI
10.1007/s00220-014-2032-y
URI
http://hdl.handle.net/10203/213191
Appears in Collection
MA-Journal Papers(저널논문)
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