Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality

Details Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality

2005-06-22

arxiv.org/abs/cond-mat/0506576v4

Phys. Rev. Lett. 95, 196406 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4+ pages, 2 figures. Fig. 2 and minor typos corrected

Scientific paper

10.1103/PhysRevLett.95.196406

We derive exact expressions for the local entanglement entropy E in the ground state of the one-dimensional Hubbard model at a quantum phase transition driven by a change in magnetic field h or chemical potential u. The leading divergences of dE/dh and dE/du are shown to be directly related to those of the zero-temperature spin and charge susceptibilities. Logarithmic corrections to scaling signal a change in the number of local states accessible to the system as it undergoes the transition.

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