Phase diagram and re-entrant fermionic entanglement in a hybrid Ising-Hubbard ladder
- 14 May 2018
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 97 (5), 052115
- https://doi.org/10.1103/physreve.97.052115
Abstract
The degree of fermionic entanglement is examined in an exactly solvable Ising-Hubbard ladder, which involves interacting electrons on the ladder's rungs described by Hubbard dimers at half-filling on each rung, accounting for intrarung hopping and Coulomb terms. The coupling between neighboring Hubbard dimers is assumed to have an Ising-like nature. The ground-state phase diagram consists of four distinct regions corresponding to the saturated paramagnetic, the classical antiferromagnetic, the quantum antiferromagnetic, and the mixed classical-quantum phase. We have exactly computed the fermionic concurrence, which measures the degree of quantum entanglement between the pair of electrons on the ladder rungs. The effects of the hopping amplitude, the Coulomb term, temperature, and magnetic fields on the fermionic entanglement are explored in detail. It is shown that the fermionic concurrence displays a re-entrant behavior when quantum entanglement is being generated at moderate temperatures above the classical saturated paramagnetic ground state.Funding Information
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Fundação de Amparo à Pesquisa do Estado de Alagoas
- Ministerstvo školstva, vedy, výskumu a športu Slovenskej republiky (VEGA 1/0043/16)
- Agentúra na Podporu Výskumu a Vývoja (APVV-0097-12)
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