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RESEARCH PRODUCT

Entanglement Properties and Phase Diagram of the Two-Orbital Atomic Hubbard Model

Giovanni ScelzaS. ChaturvediFerdinando ManciniAdolfo Avella

subject

PhysicsCondensed matter physicsHubbard modelStrongly Correlated Electrons (cond-mat.str-el)General Physics and AstronomyFOS: Physical sciencesQuantum entanglementCritical valueKinetic energyCondensed Matter - Strongly Correlated ElectronsCriticalityCritical lineQuantum mechanicsCondensed Matter::Strongly Correlated ElectronsSinglet statePhase diagram

description

We study the two-orbital Hubbard model in the limit of vanishing kinetic energy. The phase diagram in the $V-J$ plane, with $V$ and $J$ denoting the interorbital hybridization and exchange coupling respectively, at half filling is obtained. A singlet(dimer)-triplet transition is found for a critical value of the ratio $V/J.$ The entropy of formation, both in the mode and in the particle picture, presents a jump as the same critical line in conformity with the suggested relation between criticality and entanglement.

https://dx.doi.org/10.48550/arxiv.0906.2370