@article{779474394cad45ccacba1872666495f6,
title = "A strongly coupled zig-zag transition",
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.",
author = "Vijay Balasubramanian and Micha Berkooz and Ross, {Simon F.} and Joan Sim{\'o}n",
note = "Engineering and Physical Sciences Research Council (EPSRC) [EP/G007985/1]; Science and Technology Facilities Council (STFC) [ST/J000329/1]; DOE [DE-FG02-05ER-41367]; Fondation Pierre-Gilles de Gennes; STFC; Institut Lagrange de Paris; Israeli science foundation centers of excellence program; German-Israeli foundation for scientific research and development; Minerva foundation; US-Israel Bi-National Science FoundationMB would like to thank Ehud Altman for enlightening and useful discussion at early stages of this project. The work of JS was partially supported by the Engineering and Physical Sciences Research Council (EPSRC) [grant number EP/G007985/1] and the Science and Technology Facilities Council (STFC) [grant number ST/J000329/1]. VB was supported by DOE grant DE-FG02-05ER-41367 and by the Fondation Pierre-Gilles de Gennes. SFR was supported by STFC and the Institut Lagrange de Paris. MB was supported by the Israeli science foundation centers of excellence program, the German-Israeli foundation for scientific research and development and the Minerva foundation. VB and MB were supported in early stages of this project by the US-Israel Bi-National Science Foundation.",
year = "2013",
month = sep,
doi = "10.1007/JHEP09(2013)066",
language = "الإنجليزيّة",
volume = "2013",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "9",
}