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Tian, Chushun and Altland, Alexander (2012). Field theory of Anderson transition of the kicked rotor. Phys. Scr., T151. BRISTOL: IOP PUBLISHING LTD. ISSN 1402-4896

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Abstract

We present a microscopic theory of Anderson transition in the quantum kicked rotor. The behavior of the system is shown to depend sensitively on the value of the effective Planck constant, (h) over tilde. For the periodically kicked rotor, we obtain quantitative results for the time-dependent behavior of the rotor's energy that characterizes the system's localization/resonance properties. For the quasiperiodically kicked rotor, we find that for irrational values of (h) over tilde/(4 pi), the quantum phase transition exhibited in this system falls into the universality class of Anderson (metal-insulator) transition in disordered electronic systems; for rational values, the rotor-Anderson insulator turns into a 'supermetal' (i.e. the static conductivity diverges) and the system exhibits metal-supermetal transition.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Tian, Chushun UNSPECIFIED UNSPECIFIED UNSPECIFIED Altland, Alexander UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-479560
DOI:	10.1088/0031-8949/2012/T151/014049
Journal or Publication Title:	Phys. Scr.
Volume:	T151
Date:	2012
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1402-4896
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language QUANTUM RESONANCE; LOCALIZATION; CHAOS Multiple languages Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/47956