Title:	Quantum Berezinskii–Kosterltz–Thouless transition for topological insulator
Authors:	Kumar Ra, Ranjith S, Rahul Sahoo, Surya Narayan Sarkar, Sujit
Keywords:	Quantum Berezinskii-Kosterlitz-Thouless transition Ising-ferromagnetic phase topological superconducting phase majorana-Ising transition
Issue Date:	Jun-2020
Publisher:	Taylor & Francis
Citation:	Phase Transitions, 2020, Vol.93, p606–629
Abstract:	We consider the interacting helical liquid system at the one-dimensional edge of a two-dimensional topological insulator, coupled to an external magnetic field and s-wave superconductor and map it to an XYZ spin chain system. This model undergoes quantum Berezinskii-Kosterlitz-Thouless (BKT) transition with two limiting conditions. We derive the renormalization group (RG) equations explicitly and also present the flow lines behavior. We also present the behavior of RG flow lines based on the exact solution. We observe that the physics of Majorana fermion zero modes and the gaped Ising-ferromagnetic phase, which appears in a different context. We observe that the evidence of gapless helical Luttinger liquid phase as a common non-topological quantum phase for both quantum BKT transitions. We explain analytically and physically that there is no Majorana-Ising transition. In the presence of chemical potential, the system shows the commensurate to incommensurate transition.
Description:	Restricted Access
URI:	http://hdl.handle.net/2289/7493
ISSN:	0141-1594 1029-0338 (Online )
Alternative Location:	https://ui.adsabs.harvard.edu/abs/2020PhaTr..93..606K/abstract https://doi.org/10.1080/01411594.2020.1765349
Copyright:	2020 Taylor & Francis
Appears in Collections:	Research Papers (LAMP)

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