Signatures of topological phase transition on a quantum critical line

Abstract

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 non-topological 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.

15 pages including appendices; Published version

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Cited by in corpus (11)

• Universal entanglement spectrum in gapless symmetry protected topological states
• Quantum phase transition and critical behavior between the gapless topological phases
• Topological edge modes and phase transition in the critical fermionic chain with long-range interaction
• Topological phase transition between non-high symmetry critical phases and curvature function renormalization group
• Gapless higher-order topology and corner states in Floquet systems
• Unconventional quantum criticality in a non-Hermitian extended Kitaev chain
• Interaction-induced phase transitions at topological quantum criticality of an extended Su-Schrieffer-Heeger model
• Deconfined criticality as intrinsically gapless topological state in one dimension
• Scaling of Quantum Geometry Near the Non-Hermitian Topological Phase Transitions
• Topologically nontrivial multicritical points
• Topology and edge modes surviving criticality in non-Hermitian Floquet systems