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25 April 2024
 
  » arxiv » 1101.3206

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Quantum phase transitions in the quasi-periodic kicked rotor
Chushun Tian ; Alexander Altland ; Markus Garst ;
Date 17 Jan 2011
AbstractWe present a microscopic theory of transport in quasi-periodically driven environments (’kicked rotors’), as realized in recent atom optic experiments. We find that the behavior of these systems depends sensitively on the value of Planck’s constant $ ilde h$: for irrational values of $ ilde h/(4pi)$ they fall into the universality class of disordered electronic systems and we derive the microscopic theory of the ensuing localization phenomena. In contrast, for rational values the rotor-Anderson insulator acquires an infinite (static) conductivity and turns into a ’super-metal’. Signatures of the corresponding metal/super-metal transition are discussed.
Source arXiv, 1101.3206
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