Wigner crystallization in the quantum 1D jellium at all densities

DOI10.1007/s00220-014-2032-yzbMath1303.82036arXiv1306.6906OpenAlexW3101000667MaRDI QIDQ406656

J. Herrera, H. S. Yoon

Publication date: 9 September 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6906

zbMATH Keywords

path integraldensity matrixsymmetry breakinggas of electronsjellium

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Symmetry breaking in quantum theory (81R40) Statistical mechanics of solids (82D20)

Related Items (7)

Interface dynamics of a metastable mass-conserving spatially extended diffusion ⋮ Coulomb and Riesz gases: The known and the unknown ⋮ At the edge of a one-dimensional jellium ⋮ Large deviations in the quantum quasi-1D jellium ⋮ Central limit theorem for Gibbs measures on path spaces including long range and singular interactions and homogenization of the stochastic heat equation ⋮ Macroscopic and edge behavior of a planar jellium ⋮ Periodic energy minimizers for a one-dimensional liquid drop model

Cites Work

• Symmetry breaking in quasi-1D Coulomb systems
• Coincidence probabilities
• The thermodynamic limit for jellium
• On the Interaction of Electrons in Metals
• An Introduction to the Theory of Point Processes
• Reduced Density Matrices of Quantum Gases. I. Limit of Infinite Volume
• Bounded fluctuations and translation symmetry breaking in one-dimensional particle systems
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