Anderson-Mott transition in a disordered Hubbard chain with correlated hopping
We study the ground-state phase diagram of the Anderson-Hubbard model with correlated hopping at half-filling in one dimension. The Hamiltonian has a local Coulomb repulsion U and a disorder potential with local energies randomly distributed in the interval (-W,+W) with equal probability, acting on...
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todo:paper_24699950_v96_n4_p_Battista2023-10-03T16:41:45Z Anderson-Mott transition in a disordered Hubbard chain with correlated hopping Battista, F. Camjayi, A. Arrachea, L. We study the ground-state phase diagram of the Anderson-Hubbard model with correlated hopping at half-filling in one dimension. The Hamiltonian has a local Coulomb repulsion U and a disorder potential with local energies randomly distributed in the interval (-W,+W) with equal probability, acting on the singly occupied sites. The hopping process which modifies the number of doubly occupied sites is forbidden. The hopping between nearest-neighbor singly occupied and empty sites or between singly occupied and doubly occupied sites has the same amplitude t. We identify three different phases as functions of the disorder amplitude W and Coulomb interaction strength U>0. When U<4t the system shows a metallic phase: (i) only when no disorder is present W=0 or an Anderson-localized phase, (ii) when disorder is introduced W≠0. When U>4t the Anderson-localized phase survives as long as disorder effects dominate on the interaction effects, otherwise a Mott-insulator phase (iii) arises. Phases (i) and (ii) are characterized by a finite density of doublons and a vanishing charge gap among the ground state and the excited states. Phase (iii) is characterized by the vanishing density of doublons and a finite gap for the charge excitations. © 2017 American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_24699950_v96_n4_p_Battista |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
We study the ground-state phase diagram of the Anderson-Hubbard model with correlated hopping at half-filling in one dimension. The Hamiltonian has a local Coulomb repulsion U and a disorder potential with local energies randomly distributed in the interval (-W,+W) with equal probability, acting on the singly occupied sites. The hopping process which modifies the number of doubly occupied sites is forbidden. The hopping between nearest-neighbor singly occupied and empty sites or between singly occupied and doubly occupied sites has the same amplitude t. We identify three different phases as functions of the disorder amplitude W and Coulomb interaction strength U>0. When U<4t the system shows a metallic phase: (i) only when no disorder is present W=0 or an Anderson-localized phase, (ii) when disorder is introduced W≠0. When U>4t the Anderson-localized phase survives as long as disorder effects dominate on the interaction effects, otherwise a Mott-insulator phase (iii) arises. Phases (i) and (ii) are characterized by a finite density of doublons and a vanishing charge gap among the ground state and the excited states. Phase (iii) is characterized by the vanishing density of doublons and a finite gap for the charge excitations. © 2017 American Physical Society. |
| format |
JOUR |
| author |
Battista, F. Camjayi, A. Arrachea, L. |
| spellingShingle |
Battista, F. Camjayi, A. Arrachea, L. Anderson-Mott transition in a disordered Hubbard chain with correlated hopping |
| author_facet |
Battista, F. Camjayi, A. Arrachea, L. |
| author_sort |
Battista, F. |
| title |
Anderson-Mott transition in a disordered Hubbard chain with correlated hopping |
| title_short |
Anderson-Mott transition in a disordered Hubbard chain with correlated hopping |
| title_full |
Anderson-Mott transition in a disordered Hubbard chain with correlated hopping |
| title_fullStr |
Anderson-Mott transition in a disordered Hubbard chain with correlated hopping |
| title_full_unstemmed |
Anderson-Mott transition in a disordered Hubbard chain with correlated hopping |
| title_sort |
anderson-mott transition in a disordered hubbard chain with correlated hopping |
| url |
http://hdl.handle.net/20.500.12110/paper_24699950_v96_n4_p_Battista |
| work_keys_str_mv |
AT battistaf andersonmotttransitioninadisorderedhubbardchainwithcorrelatedhopping AT camjayia andersonmotttransitioninadisorderedhubbardchainwithcorrelatedhopping AT arracheal andersonmotttransitioninadisorderedhubbardchainwithcorrelatedhopping |
| _version_ |
1807317863194689536 |