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A strongly-coupled zig-zag transition.

Balasubramanian, Vijay and Berkooz, Micha and Ross, Simon F. and Simón, Joan (2013) 'A strongly-coupled zig-zag transition.', Journal of high energy physics., 2013 (9). p. 66.

Abstract

The zig-zag symmetry transition is a phase transition in 1D quantum wires, in which a Wigner lattice of electrons transitions to two staggered lattices. Previous studies model this transition as a Luttinger liquid coupled to a Majorana fermion. The model exhibits interesting RG flows, involving quenching of velocities in subsectors of the theory. We suggest an extension of the model which replaces the Majorana fermion by a more general CFT; this includes an experimentally realizable case with two Majorana fermions. We analyse the RG flow both in field theory and using AdS/CFT techniques in the large central charge limit of the CFT. The model has a rich phase structure with new qualitative features, already in the two Majorana fermion case. The AdS/CFT calculation involves considering back reaction in space-time to capture subleading effects.

Item Type:Article
Additional Information:Published on behalf of SISSA, the International School for Advanced Studies.
Keywords:Gauge-gravity correspondence, AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT), Field theories in lower dimensions.
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/JHEP09(2013)066
Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:No date available
Date deposited:13 December 2013
Date of first online publication:2013
Date first made open access:No date available

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