TY - JOUR
T1 - Entanglement entropy in a one-dimensional disordered interacting system
T2 - The role of localization
AU - Berkovits, Richard
PY - 2012/4/26
Y1 - 2012/4/26
N2 - The properties of the entanglement entropy (EE) in one-dimensional disordered interacting systems are studied. Anderson localization leaves a clear signature on the average EE, as it saturates on the length scale exceeding the localization length. This is verified by numerically calculating the EE for an ensemble of disordered realizations using the density matrix renormalization group method. A heuristic expression describing the dependence of the EE on the localization length, which takes into account finite-size effects, is proposed. This is used to extract the localization length as a function of the interaction strength. The localization length dependence on the interaction fits nicely with the expectations.
AB - The properties of the entanglement entropy (EE) in one-dimensional disordered interacting systems are studied. Anderson localization leaves a clear signature on the average EE, as it saturates on the length scale exceeding the localization length. This is verified by numerically calculating the EE for an ensemble of disordered realizations using the density matrix renormalization group method. A heuristic expression describing the dependence of the EE on the localization length, which takes into account finite-size effects, is proposed. This is used to extract the localization length as a function of the interaction strength. The localization length dependence on the interaction fits nicely with the expectations.
UR - http://www.scopus.com/inward/record.url?scp=84860314184&partnerID=8YFLogxK
U2 - https://doi.org/10.1103/PhysRevLett.108.176803
DO - https://doi.org/10.1103/PhysRevLett.108.176803
M3 - مقالة
C2 - 22680892
SN - 0031-9007
VL - 108
JO - Physical Review Letters
JF - Physical Review Letters
IS - 17
M1 - 176803
ER -