Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice

Preprint

10 November 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9911137

Abstract

Combined with Laughlin's argument on the quantized Hall conductivity, Lieb-Schultz-Mattis argument is extended to quantum many-particle systems (including quantum spin systems) with a conserved particle number, on a periodic lattice in arbitrary dimensions. Regardless of dimensionality, interaction strength and particle statistics (bose/fermi), a finite excitation gap is possible only when the particle number per unit cell of the groundstate is an integer.

Keywords

QUANTUM MANY PARTICLE
COMMENSURABILITY
PERIODIC LATTICE
LATTICE COMBINED
PARTICLE SYSTEMS
PARTICLE NUMBER
EXCITATION GAP
UNIT CELL
QUANTIZED

All Related Versions

Version 1, 1999-11-10, ArXiv
Published version: Physical Review Letters, 84 (7), 1535.

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