Kulshreshtha, AK;
Pal, A;
Wahl, TB;
Simon, SH;
(2018)
Behavior of 1-bits near the many-body localization transition.
Physical Review B
, 98
(18)
, Article 184201. 10.1103/PhysRevB.98.184201.
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Abstract
Eigenstates of fully many-body localized (FMBL) systems are described by quasilocal operators τ z i (l-bits), which are conserved exactly under Hamiltonian time evolution. The algebra of the operators τ z i and τ x i associated with l-bits ( τ i ) completely defines the eigenstates and the matrix elements of local operators between eigenstates at all energies. We develop a nonperturbative construction of the full set of l-bit algebras in the many-body localized phase for the canonical model of MBL. Our algorithm to construct the Pauli algebra of l-bits combines exact diagonalization and a tensor network algorithm developed for efficient diagonalization of large FMBL Hamiltonians. The distribution of localization lengths of the l-bits is evaluated in the MBL phase and used to characterize the MBL-to-thermal transition.
| Type: | Article |
|---|---|
| Title: | Behavior of 1-bits near the many-body localization transition |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevB.98.184201 |
| Publisher version: | https://doi.org/10.1103/PhysRevB.98.184201 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10062680 |
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