On the particle-hole symmetry of the fermionic spinless Hubbard model in D = 1

We revisit the particle-hole symmetry of the one-dimensional (D=1) fermionic spinless Hubbard model, associating that symmetry to the invariance of the Helmholtz free energy of the one-dimensional spin-1/2 XXZ Heisenberg model, under reversal of the longitudinal magnetic field and at any finite temp...

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Bibliographic Details
Date:2014
Main Authors: Thomaz, M.T., Corrêa Silva, E.V., Rojas, O.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2014
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/153559
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the particle-hole symmetry of the fermionic spinless Hubbard model in D = 1 / M.T. Thomaz, E.V. Corrêa Silva, O. Rojas // Condensed Matter Physics. — 2014. — Т. 17, № 2. — С. 23002:1-6. — Бібліогр.: 11 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:We revisit the particle-hole symmetry of the one-dimensional (D=1) fermionic spinless Hubbard model, associating that symmetry to the invariance of the Helmholtz free energy of the one-dimensional spin-1/2 XXZ Heisenberg model, under reversal of the longitudinal magnetic field and at any finite temperature. Upon comparing two regimes of that chain model so that the number of particles in one regime equals the number of holes in the other, one finds that, in general, their thermodynamics is similar, but not identical: both models share the specific heat and entropy functions, but not the internal energy per site, the first-neighbor correlation functions, and the number of particles per site. Due to that symmetry, the difference between the first-neighbor correlation functions is proportional to the z-component of magnetization of the XXZ Heisenberg model. The results presented in this paper are valid for any value of the interaction strength parameter V, which describes the attractive/null/repulsive interaction of neighboring fermions.