TY - JOUR
T1 - Length scales in the many-body localized phase and their spectral signatures
AU - Varma, V. K.
AU - Raj, A.
AU - Gopalakrishnan, S.
AU - Oganesyan, V.
AU - Pekker, D.
N1 - Funding Information:
We thank W. Bialek, T. Can, D. A. Huse, and A. Scardicchio for discussions. D.P. and V.O. also thank B. K. Clark and E. Kapit, respectively, for prior exploratory collaborations that nucleated some of the ideas in this work. V.K.V. and V.O. acknowledge support from the NSF DMR Grant No. 1508538 and US-Israel BSF Grant No. 2014265. S.G. acknowledges support from NSF Grant No. DMR-1653271.
Publisher Copyright:
© 2019 American Physical Society.
PY - 2019/9/16
Y1 - 2019/9/16
N2 - We compute and compare the decay lengths of several correlation functions and effective coupling constants in the many-body localized (MBL) phase. To this end, we consider the distribution of the logarithms of these couplings and correlators: In each case, the log coupling follows a normal distribution with mean and variance that grow linearly with separation. Thus, a localization length is asymptotically sharply defined for each of these quantities. These localization lengths differ numerically from one another, but all of them remain short up to the numerically observed MBL transition, indicating stability of the MBL phase against isolated ergodic inclusions. We also show how these broad distributions may be extracted using interferometric probes such as double-electron-electron resonance and the statistics of local spin precession frequencies.
AB - We compute and compare the decay lengths of several correlation functions and effective coupling constants in the many-body localized (MBL) phase. To this end, we consider the distribution of the logarithms of these couplings and correlators: In each case, the log coupling follows a normal distribution with mean and variance that grow linearly with separation. Thus, a localization length is asymptotically sharply defined for each of these quantities. These localization lengths differ numerically from one another, but all of them remain short up to the numerically observed MBL transition, indicating stability of the MBL phase against isolated ergodic inclusions. We also show how these broad distributions may be extracted using interferometric probes such as double-electron-electron resonance and the statistics of local spin precession frequencies.
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U2 - 10.1103/PhysRevB.100.115136
DO - 10.1103/PhysRevB.100.115136
M3 - Article
AN - SCOPUS:85072795005
VL - 100
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 2469-9950
IS - 11
M1 - 115136
ER -