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2007

Many body localization in Heisenberg XXZ magnet in a random field

Znidaric, Marko, Prosen, Tomaz, Prelovsek, Peter

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We numerically investigate Heisenberg XXZ spin-1/2 chain in a spatially random static magnetic field.

We find that tDMRG simulations of time evolution can be performed efficiently, namely the dimension of matrices needed to efficiently represent the time-evolution increases linearly with time and entanglement entropies for typical chain bipartitions increase logarithmically.
As a result, we show that for large enough random fields infinite temperature spin-spin correlation function displays exponential localization in space indicating insulating behavior of the model.

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Indeed, the general bound in [ 20 ] can be improved for the particular correlation function studied here. C. K. Burrell and T. J. Osborne, private communication
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