Abstract
This work shows the existence of many-body mobility edge in large disordered Heisenberg chain. The time dynamics of initial product states reveal that the transition between localized and extended phases depends on the average energy of the initial states.
Highlights
Many-body localization (MBL) [1,2] is a robust mechanism that prevents quantum many-body systems from reaching of thermal equilibrium [3,4,5]
Thermalization of random-field Heisenberg spin chain is probed by time evolution of density correlation functions
While the recent works [20,21,22,23,24] suggest a Kosterlitz-Thouless scaling at the MBL transition, it became clear that the exact diagonalization studies are subject to strong finite-size effects [25,26,27] that prevent one from reaching unambiguous conclusions about the thermodynamic limit [28,29]
Summary
Many-body localization transition in large quantum spin chains: The mobility edge. Titas Chanda ,1,* Piotr Sierant,1,† and Jakub Zakrzewski 1,2,‡ 1Instytut Fizyki Teoretycznej, Uniwersytet Jagiellonski, Łojasiewicza 11, 30-348 Kraków, Poland. Thermalization of random-field Heisenberg spin chain is probed by time evolution of density correlation functions. Studying the impacts of average energies of initial product states on dynamics of the system, we provide arguments in favor of the existence of a mobility edge in the large system-size limit
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