A strongly coupled zig-zag transition

doi:10.1007/JHEP09(2013)066

A strongly coupled zig-zag transition

2013-09-12

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Vijay Balasubramanian *

DOI：10.1007/JHEP09(2013)066

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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.

Keywords:

Gauge-gravity correspondence

AdS-CFT Correspondence

Holography and condensed matter physics (AdS/CMT)

Field Theories in Lower Dimensions

A strongly coupled zig-zag transition

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