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A strongly coupled zig-zag transition
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DOI：10.1007/JHEP09(2013)066.png)
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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.
Keyword:
Gauge-gravity correspondence
AdS-CFT Correspondence
Holography and condensed matter physics (AdS/CMT)
Field Theories in Lower Dimensions
期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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