Behavior of l-bits near the many-body localization transition
| Autor: | Kulshreshtha, Abishek K., Pal, Arijeet, Wahl, Thorsten B., Simon, Steven H. |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Phys. Rev. B 98, 184201 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.98.184201 |
| Popis: | Eigenstates of fully many-body localized (FMBL) systems are described by quasilocal operators $\tau_i^z$ (l-bits), which are conserved exactly under Hamiltonian time evolution. The algebra of the operators $\tau_i^z$ and $\tau_i^x$ associated with l-bits ($\boldsymbol{\tau}_i$) completely defines the eigenstates and the matrix elements of local operators between eigenstates at all energies. We develop a non-perturbative 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. Comment: 5+3 pages, 6 Figures, added results on finite size scaling and thermal-quantum critical crossover, additional references |
| Databáze: | arXiv |
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