Spin of the ground state and the flux phase problem on the ring

Fumihiko Nakano

doi:10.1088/0305-4470/37/13/005

Spin of the ground state and the flux phase problem on the ring

Fumihiko Nakano

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

As a continuation of our previous work, we derive the optimal flux phase which minimizes the ground state energy in the one-dimensional many-particle systems, when the number of particles is odd in the absence of on-site interaction and external potential. Moreover, we study the relationship between the flux on the ring and the spin of the ground state through which we derive some information on the sum of the lowest eigenvalues of one-particle Hamiltonians.

Original language	English
Pages (from-to)	3979-3987
Number of pages	9
Journal	Journal of Physics A: Mathematical and General
Volume	37
Issue number	13
DOIs	https://doi.org/10.1088/0305-4470/37/13/005
Publication status	Published - 2004 Apr 2

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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