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Title: Emergence of quantum phases for the interacting helical liquid of topological quantum matter
Authors: Kumar, Ranjith R.
Rahul, S.
Narayan, Surya
Sarkar, Sujit
Keywords: Emergent physics
topological quantum phase transition
Berezinskii-Kosterlitz-Thouless transition
Majorana-Ising transition
Issue Date: May-2021
Publisher: Springer for Indian Academy of Sciences, Bengaluru, India
Citation: Pramana - Journal of Physics, 2021, Vol.95, p54
Abstract: Emergence of different interesting and insightful phenomena in different length scales is the heart of quantum many-body system. We present emergence of quantum phases for the interacting helical liquid of topological quantum matter. We also observe that Luttinger liquid parameter plays a significant role to determine different quantum phases. We use three sets of renormalisation group (RG) equations to solve emergent quantum phases for our model Hamiltonian system. Two of them are the quantum Berezinskii Kosterlitz-Thouless (BKT) equations. We show explicitly from the study of length scale-dependent emergent physics that there is no evidence of Majorana-Ising transition for the two sets of quantum BKT equations, i.e., the system is either in the topological superconducting phase or in the Ising phase. The whole set of RG equation shows the evidence of length scale-dependent Majorana-Ising transition. Emergence of length scale-dependent quantum phases can be observed in topological materials which exhibit fundamentally new physical phenomena with potential applications for novel devices and quantum information technology.
Description: Open Access available from Indian Academy of Sceinces website
ISSN: 0304-4289
0973-7111 (online)
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Copyright: 2021 Indian Academy of Sciences, Bengaluru, India
Appears in Collections:Research Papers (LAMP)

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