Universität zu Köln

Zacharias, M., Rosch, A. and Garst, M. (2015). Critical elasticity at zero and finite temperature. Eur. Phys. J.-Spec. Top., 224 (6). S. 1021 - 1041. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1951-6401

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Abstract

Elastic phase transitions of crystals and phase transitions whose order parameter couples linearly to elastic degrees of freedom are reviewed with particular focus on instabilities at zero temperature. A characteristic feature of these transitions is the suppression of critical fluctuations by long-range shear forces. As a consequence, at an elastic crystal symmetry-breaking quantum phase transition the phonon velocity vanishes only along certain crystallographic directions giving rise to critical phonon thermodynamics described by a stable Gaussian fixed point. At an isostructural solid-solid quantum critical end point, on the other hand, the complete suppression of critical fluctuations results in true mean-field critical behavior without a diverging correlation length. Whenever an order parameter couples bilinearly to the strain tensor, the critical properties are eventually governed by critical crystal elasticity. This is, for example, the case for quantum critical metamagnetism but also for the classical critical Mott end point at finite T. We discuss and compare the solid-solid end points expected close to the Mott transition in V2O3 and kappa-(BEDT-TTF)(2) X.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Zacharias, M. UNSPECIFIED UNSPECIFIED UNSPECIFIED Rosch, A. UNSPECIFIED UNSPECIFIED UNSPECIFIED Garst, M. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-399524
DOI:	10.1140/epjst/e2015-02444-5
Journal or Publication Title:	Eur. Phys. J.-Spec. Top.
Volume:	224
Number:	6
Page Range:	S. 1021 - 1041
Date:	2015
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	1951-6401
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CRITICAL-BEHAVIOR; PHASE-TRANSITIONS; QUANTUM CRITICALITY; GRUNEISEN-PARAMETER; MOTT TRANSITION; MAGNETIC-FIELD; MODEL; INSTABILITIES Multiple languages Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/39952