Publication: Supersymmetric spin chains with nonmonotonic dispersion relation: criticality and entanglement entropy
Loading...
Official URL
Full text at PDC
Publication Date
2017-01-17
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Citations
Exportar
Abstract
We study the critical behavior and the ground-state entanglement of a large class of su(1|1) supersymmetric spin chains with a general (not necessarily monotonic) dispersion relation. We show that this class includes several relevant models, with both short-and long-range interactions of a simple form. We determine the low temperature behavior of the free energy per spin, and deduce that the models considered have a critical phase in the same universality class as a (1 + 1)-dimensional conformal field theory (CFT) with central charge equal to the number of connected components of the Fermi sea. We also study the Renyi entanglement entropy of the ground state, deriving its asymptotic behavior as the block size tends to infinity. In particular, we show that this entropy exhibits the logarithmic growth characteristic of (1 + 1)-dimensional CFTs and one-dimensional (fermionic) critical lattice models, with a central charge consistent with the low-temperature behavior of the free energy. Our results confirm the widely believed conjecture that the critical behavior of fermionic lattice models is completely determined by the topology of their Fermi surface.
Description
©2017 American Physical Society.
The authors would like to thank P. Tempesta for several enlightening discussions. This work was partially supported by Spain’s MINECO under Research Grant No. FIS2015-63966- P. J.A.C. would also like to acknowledge the financial support of the Universidad Complutense de Madrid through a 2015 predoctoral scholarship.