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http://hdl.handle.net/2289/7806
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 |
URI: | http://hdl.handle.net/2289/7806 |
ISSN: | 0304-4289 0973-7111 (online) |
Alternative Location: | https://ui.adsabs.harvard.edu/abs/2021Prama..95...94K/abstract https://doi.org/10.1007/s12043-021-02126-9 |
Copyright: | 2021 Indian Academy of Sciences, Bengaluru, India |
Appears in Collections: | Research Papers (LAMP) |
Files in This Item:
File | Description | Size | Format | |
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2021_Pramana_Vol.95_p54.pdf | Open Access | 818 kB | Adobe PDF | View/Open |
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