Phys. Rev. Lett. 95, 196406 (2005) [4 pages]Entanglement Scaling in the One-Dimensional Hubbard Model at CriticalitySee Also: Erratum Received 22 June 2005; published 3 November 2005 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 μ. The leading divergences of ∂E/∂h and ∂E/∂μ 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.196406
DOI:
10.1103/PhysRevLett.95.196406
PACS:
71.10.Fd, 03.65.Ud, 03.67.Mn, 05.70.Jk
See AlsoErratum: Daniel Larsson and Henrik Johannesson, Erratum: Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality [Phys. Rev. Lett. 95, 196406 (2005)], Phys. Rev. Lett. 96, 169906 (2006). |
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.