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Signatures of topological phase transition on a quantum critical line

Kumar, RR and Roy, N and Kartik, YR and Rahul, S and Sarkar, S (2023) Signatures of topological phase transition on a quantum critical line. In: Physical Review B, 107 (20).

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Official URL: https://doi.org/10.1103/PhysRevB.107.205114


Recently topological states of matter have witnessed a new physical phenomenon where both edge modes and gapless bulk coexist at topological quantum criticality. The presence and absence of edge modes on a critical line can lead to an unusual class of topological phase transition between the topological and nontopological critical phases. We explore the existence of this new class of topological phase transitions in a generic model representing the topological insulators and superconductors and we show that such transition occurs at a multicritical point, i.e., at the intersection of two critical lines. To characterize these transitions we reconstruct the theoretical frameworks, which include bound state solution of the Dirac equation, winding number, correlation factors, and scaling theory of the curvature function to work for the criticality. Critical exponents and scaling laws are discussed to distinguish between the multicritical points, which separate the critical phases. Entanglement entropy and its scaling in the real space provide further insights into the unique transition at criticality revealing the interplay between fixed point and critical point at the multicriticalities.

Item Type: Journal Article
Publication: Physical Review B
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to American Physical Society
Keywords: Criticality (nuclear fission); Linear equations; Quantum entanglement, Critical lines; Critical phasis; Generic modeling; Multicritical point; Physical phenomena; Quantum critical; Quantum criticality; States of matter; Topological phase; Topological state, Topology
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 15 Jun 2023 07:28
Last Modified: 15 Jun 2023 07:28
URI: https://eprints.iisc.ac.in/id/eprint/81941

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