Many body localization in Heisenberg XXZ magnet in a random field

Details Many body localization in Heisenberg XXZ magnet in a random field Many body localization in Heisenberg XXZ magnet in a random field

2007-06-18

arxiv.org/abs/0706.2539v2

Phys. Rev. B 77, 064426 (2008)

Physics

Quantum Physics

6 pages, 5 PS figures; v2: few minor changes, one additional figure

Scientific paper

10.1103/PhysRevB.77.064426

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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