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A strongly-coupled zig-zag transition

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

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Vijay Balasubramanian

Micha Berkooz

Joan Simon


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.


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.

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
Keywords Gauge-gravity correspondence, AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT), Field theories in lower dimensions.


Accepted Journal Article (963 Kb)

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.

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