ABSTRACT:\u00a0We present a numerical study of the many-body localization (MBL) phenomenon in the high-temperature limit within an anisotropic Heisenberg model with random local fields. Taking the dynamical spin conductivity \u03c3(\u03c9) as the test quantity, we investigate the full frequency dependence of sample-to-sample fluctuations and their scaling properties as a function of the system size L\u226428 and the frequency resolution. We identify differences between the general interacting case \u0394>0 and the anisotropy \u0394=0, the latter corresponding to the standard Anderson localization. Except for the extreme MBL case when the relative sample-to-sample fluctuations became large, numerical results allow for the extraction of the low-\u03c9 dependence of the conductivity. Results for the dc value \u03c30 indicate a crossover into the MBL regime, i.e., an exponential-like variation with the disorder strength W. For the same regime, our numerical analysis indicates that the low-frequency exponent \u03b1 exhibits a small departure from \u03b1\u223c1 only.<\/p>\n
Osor S. Bari\u0161i\u0107, Jure Kokalj, Ivan Balog, and Peter Prelov\u0161ek
\nPhys. Rev. B 94, 045126 (2016)<\/p>\n
http:\/\/journals.aps.org\/prb\/abstract\/10.1103\/PhysRevB.94.045126<\/a><\/p>","protected":false},"excerpt":{"rendered":" ABSTRACT:\u00a0We present a numerical study of the many-body localization (MBL) phenomenon in the high-temperature limit within an anisotropic Heisenberg model with random local fields. Taking the dynamical spin conductivity \u03c3(\u03c9) as the test quantity, we investigate the full frequency dependence of sample-to-sample fluctuations and their scaling properties as a function […]<\/a><\/p>\n<\/div>","protected":false},"author":2,"featured_media":349,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[12,5],"tags":[],"_links":{"self":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts\/348"}],"collection":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/comments?post=348"}],"version-history":[{"count":1,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts\/348\/revisions"}],"predecessor-version":[{"id":350,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts\/348\/revisions\/350"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/media\/349"}],"wp:attachment":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/media?parent=348"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/categories?post=348"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/tags?post=348"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}