Universität zu Köln

Mathey, Steven and Diehl, Sebastian (2020). Dynamic renormalization group theory for open Floquet systems. Phys. Rev. B, 102 (13). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

We develop a comprehensive renormalization group (RG) approach to criticality in open Floquet systems, where dissipation enables the system to reach a well-defined Floquet steady state of finite entropy, and all observables are synchronized with the drive. We provide a detailed description of how to combine Keldysh and Floquet formalisms to account for the critical fluctuations in the weakly and rapidly driven regime. A key insight is that a reduction to the time-averaged static sector is not possible close to the critical point. This guides the design of a perturbative dynamic RG approach, which treats the time-dependent, dynamic sector associated to higher harmonics of the drive, on an equal footing with the time-averaged sector. Within this framework, we develop a weak drive expansion scheme, which enables to systematically truncate the RG flow equations in powers of the inverse drive frequency Omega(-1). This allows us to show how a periodic drive inhibits scale invariance and critical fluctuations of second-order phase transitions in rapidly driven open systems. Although criticality emerges in the limit Omega(-1) = 0, any finite drive frequency produces a scale that remains finite all through the phase transition. This is a universal mechanism that relies on the competition of the critical fluctuations within the static and dynamic sectors of the problem.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Mathey, Steven UNSPECIFIED UNSPECIFIED UNSPECIFIED Diehl, Sebastian UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-315206
DOI:	10.1103/PhysRevB.102.134307
Journal or Publication Title:	Phys. Rev. B
Volume:	102
Number:	13
Date:	2020
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language UNIVERSAL DYNAMICS; QUANTUM; PHASE; TRANSITIONS; TRANSPORT; MODEL Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/31520