A strongly coupled zigzag transition
Abstract
The zigzag 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 spacetime to capture subleading effects.
 Publication:

Journal of High Energy Physics
 Pub Date:
 September 2013
 DOI:
 10.1007/JHEP09(2013)066
 arXiv:
 arXiv:1305.3574
 Bibcode:
 2013JHEP...09..066B
 Keywords:

 Gaugegravity correspondence;
 AdSCFT Correspondence;
 Holography and condensed matter physics (AdS/CMT);
 Field Theories in Lower Dimensions;
 High Energy Physics  Theory;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 39 pages, 6 figures