TY - JOUR
T1 - Entanglement Properties and Quantum Phases for a Fermionic Disordered One-Dimensional Wire with Attractive Interactions
AU - Berkovits, Richard
N1 - Publisher Copyright:
© 2015 American Physical Society.
PY - 2015/11/13
Y1 - 2015/11/13
N2 - A fermionic disordered one-dimensional wire in the presence of attractive interactions is known to have two distinct phases, a localized and superconducting, depending on the strength of interaction and disorder. The localized region may also exhibit a metallic behavior if the system size is shorter than the localization length. Here we show that the superconducting phase has a distribution of the entanglement entropy distinct from the metallic regime. The entanglement entropy distribution is strongly asymmetric with a Lévy α-stable distribution (compared to the Gaussian metallic distribution), as is seen also for the second Rényi entropy distribution. Thus, entanglement properties may reveal properties which cannot be detected by other methods.
AB - A fermionic disordered one-dimensional wire in the presence of attractive interactions is known to have two distinct phases, a localized and superconducting, depending on the strength of interaction and disorder. The localized region may also exhibit a metallic behavior if the system size is shorter than the localization length. Here we show that the superconducting phase has a distribution of the entanglement entropy distinct from the metallic regime. The entanglement entropy distribution is strongly asymmetric with a Lévy α-stable distribution (compared to the Gaussian metallic distribution), as is seen also for the second Rényi entropy distribution. Thus, entanglement properties may reveal properties which cannot be detected by other methods.
UR - http://www.scopus.com/inward/record.url?scp=84948406088&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.115.206401
DO - 10.1103/PhysRevLett.115.206401
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C2 - 26613456
AN - SCOPUS:84948406088
SN - 0031-9007
VL - 115
JO - Physical Review Letters
JF - Physical Review Letters
IS - 20
M1 - 206401
ER -