Skip to main content

Research Repository

Advanced Search

A strongly-coupled zig-zag transition

Balasubramanian, Vijay; Berkooz, Micha; Ross, Simon F.; Simon, Joan

A strongly-coupled zig-zag transition Thumbnail


Authors

Vijay Balasubramanian

Micha Berkooz

Joan Simon



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.

Citation

Balasubramanian, V., Berkooz, M., Ross, S. F., & Simon, J. (2013). A strongly-coupled zig-zag transition. Journal of High Energy Physics, 2013(9), Article 66. https://doi.org/10.1007/jhep09%282013%29066

Journal Article Type Article
Publication Date Sep 12, 2013
Deposit Date Oct 11, 2013
Publicly Available Date Dec 13, 2013
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2013
Issue 9
Article Number 66
DOI https://doi.org/10.1007/jhep09%282013%29066
Keywords Gauge-gravity correspondence, AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT), Field theories in lower dimensions.

Files


Accepted Journal Article (963 Kb)
PDF

Copyright 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.







You might also like



Downloadable Citations