Help Privacy Policy Disclaimer
  Advanced SearchBrowse




Journal Article

Universal logarithmic correction to Renyi (Shannon) entropy in generic systems of critical quadratic fermions


Khasseh,  Reyhaneh
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

(Preprint), 626KB

Supplementary Material (public)
There is no public supplementary material available

Tarighi, B., Khasseh, R., Najafi, M. N., & Rajabpour, M. A. (2022). Universal logarithmic correction to Renyi (Shannon) entropy in generic systems of critical quadratic fermions. Physical Review B, 105(24): 245109. doi:10.1103/PhysRevB.105.245109.

Cite as: https://hdl.handle.net/21.11116/0000-000B-0292-D
The Renyi (Shannon) entropy, i.e., Re-alpha(Sh), of the ground state of quantum systems in local bases normally show a volume-law behavior. For a subsystem of quantum chains at a critical point there is an extra logarithmic subleading term with a coefficient which is universal. In this paper we study this coefficient for generic time-reversal translational invariant quadratic critical free fermions. These models can be parametrized by a complex function which has zeros on the unit circle. When the zeros on the unit circle do not have degeneracy and there is no zero outside of the unit circle we are able to classify the coefficient of the logarithm. In particular, we numerically calculate the Renyi (Shannon) entropy in a configuration basis for a wide variety of these models and show that there are two distinct classes. For systems with U(1) symmetry the coefficient is proportional to the central charge, i.e., one half of the number of points that one can linearize the dispersion relation of the system; for all the values of a with transition point at alpha = 4. For systems without this symmetry, when alpha > 1, this coefficient is again proportional to the central charge. However, the coefficient for alpha <= 1 is a new universal number. Finally, by using the discrete version of the Bisognano-Wichmann modular Hamiltonian of the Ising chain we show that these coefficients are universal and dependent on the underlying CFT.