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...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute for Condensed Matter Physics
2014-06-01
|
| Series: | Condensed Matter Physics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.5488/CMP.17.23002 |
| _version_ | 1818322658538815488 |
|---|---|
| author | M.T. Thomaz E.V. Corrêa Silva O. Rojas |
| author_facet | M.T. Thomaz E.V. Corrêa Silva O. Rojas |
| author_sort | M.T. Thomaz |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T11:00:18Z |
| format | Article |
| id | doaj.art-07c44da5949a47eda58337759a24425d |
| institution | Directory Open Access Journal |
| issn | 1607-324X |
| language | English |
| last_indexed | 2024-12-13T11:00:18Z |
| publishDate | 2014-06-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-07c44da5949a47eda58337759a24425d2022-12-21T23:49:16ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2014-06-011722300210.5488/CMP.17.23002On the particle-hole symmetry of the fermionic spinless Hubbard model in D=1 M.T. ThomazE.V. Corrêa SilvaO. RojasWe 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.http://dx.doi.org/10.5488/CMP.17.23002quantum statistical mechanicsstrongly correlated electron systemspin chain models |
| spellingShingle | M.T. Thomaz E.V. Corrêa Silva O. Rojas On the particle-hole symmetry of the fermionic spinless Hubbard model in D=1 Condensed Matter Physics quantum statistical mechanics strongly correlated electron system spin chain models |
| title | On the particle-hole symmetry of the fermionic spinless Hubbard model in D=1 |
| title_full | On the particle-hole symmetry of the fermionic spinless Hubbard model in D=1 |
| title_fullStr | On the particle-hole symmetry of the fermionic spinless Hubbard model in D=1 |
| title_full_unstemmed | On the particle-hole symmetry of the fermionic spinless Hubbard model in D=1 |
| title_short | On the particle-hole symmetry of the fermionic spinless Hubbard model in D=1 |
| title_sort | on the particle hole symmetry of the fermionic spinless hubbard model in d 1 |
| topic | quantum statistical mechanics strongly correlated electron system spin chain models |
| url | http://dx.doi.org/10.5488/CMP.17.23002 |
| work_keys_str_mv | AT mtthomaz ontheparticleholesymmetryofthefermionicspinlesshubbardmodelind1 AT evcorreasilva ontheparticleholesymmetryofthefermionicspinlesshubbardmodelind1 AT orojas ontheparticleholesymmetryofthefermionicspinlesshubbardmodelind1 |