Mobility edge in long-range interacting many-body localized systems
- URL: http://arxiv.org/abs/2209.01337v1
- Date: Sat, 3 Sep 2022 06:05:26 GMT
- Title: Mobility edge in long-range interacting many-body localized systems
- Authors: Rozhin Yousefjani, and Abolfazl Bayat
- Abstract summary: Many-body localization becomes more sophisticated in long-range interacting systems.
We show that long-range interaction enhances the localization effect and shifts the phase boundary towards smaller values of disorder.
Our analysis establishes a hierarchy among the quantities that we have studied concerning their convergence speed towards their thermodynamic limit.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: As disorder strength increases in disordered many-body systems a new
structure of matter, the so-called many-body localized phase, emerges across
the whole spectrum. This transition is energy dependent, a phenomenon known as
mobility edge, such that the mid-spectrum eigenstates tend to localize at
larger values of disorder in comparison to eigenstates near the edges of the
spectrum. Many-body localization becomes more sophisticated in long-range
interacting systems. Here, by focusing on several quantities, we draw the phase
diagram as a function of disorder and energy spectrum, for a various range of
interactions. We show that long-range interaction enhances the localization
effect and shifts the phase boundary towards smaller values of disorder. In
addition, we determine the relevant critical exponent, with which a diverging
length scale emerges in the system, along the mobility edge. Our analysis
establishes a hierarchy among the quantities that we have studied concerning
their convergence speed towards their thermodynamic limit. Indeed, we show that
deliberately decohering a subsystem can mitigate finite-size effects and
provide results in line with the analytical predictions at the thermodynamic
limit.
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