dc.identifier.uri |
http://dx.doi.org/10.15488/2060 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2085 |
|
dc.contributor.author |
Greschner, Sebastian
|
|
dc.contributor.author |
Kolezhuk, A.K.
|
|
dc.contributor.author |
Vekua, T.
|
|
dc.date.accessioned |
2017-10-20T13:13:15Z |
|
dc.date.available |
2017-10-20T13:13:15Z |
|
dc.date.issued |
2013 |
|
dc.identifier.citation |
Greschner, S.; Kolezhuk, A.K.; Vekua, T.: Fidelity susceptibility and conductivity of the current in one-dimensional lattice models with open or periodic boundary conditions. In: Physical Review B - Condensed Matter and Materials Physics 88 (2013), Nr. 19, No. 195101. DOI: https://doi.org/10.1103/PhysRevB.88.195101 |
|
dc.description.abstract |
We study, both numerically and analytically, the finite-size scaling of the fidelity susceptibility χJ with respect to the charge or spin current in one-dimensional lattice models and relate it to the low-frequency behavior of the corresponding conductivity. It is shown that in gapless systems with open boundary conditions the leading dependence on the system size L stems from the singular part of the conductivity and is quadratic, with a universal form χJ=[7ζ(3)/2π4]KL2, where K is the Luttinger liquid parameter and ζ(x) is the Riemann ζ function. In contrast to that for periodic boundary conditions the leading system size dependence is directly connected to the regular part of the conductivity and is subquadratic, χJ∝Lγ, where the K-dependent exponent γ is equal to 1 in most situations (as a side effect, this relation provides an alternative way to study the low-frequency behavior of the regular part of the conductivity). For open boundary conditions, we also study another current-related quantity, the fidelity susceptibility to the lattice tilt χP, and show that it scales as the quartic power of the system size, χP=[31ζ(5)/8π6](KL4/u2), where u is the sound velocity. Thus, the ratio L2χJ/χP directly measures the sound velocity in open chains. The behavior of the current fidelity susceptibility in gapped phases is discussed, particularly in the topologically ordered Haldane state. © 2013 American Physical Society. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
College Park, MD : American Physical Society |
|
dc.relation.ispartofseries |
Physical Review B 88 (2013), Nr. 19 |
|
dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
|
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Fidelity susceptibility and conductivity of the current in one-dimensional lattice models with open or periodic boundary conditions |
|
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.issn |
10980121 |
|
dc.relation.doi |
https://doi.org/10.1103/PhysRevB.88.195101 |
|
dc.bibliographicCitation.issue |
19 |
|
dc.bibliographicCitation.volume |
88 |
|
dc.bibliographicCitation.firstPage |
195101 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|