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Holographic Representations of Topological Quantum Criticality: Emergent Symmetry Approach around the Bott Clock
Fan Yang, Fei Zhou
In this article, we apply the idea of emergent symmetries to construct holographic representations of a broad class of topological quantum critical points (tQCPs) that appear in fe…
Topologically shadowed quantum criticality: A non-compact conformal manifold
Tianyao Fang, Weicheng Ye, Zhengcheng Gu +1
We propose a family of topological quantum critical points (tQCPs) separating non-invertible chiral topological orders in dimensions. We conjecture that these tQCPs can be…
Surface Topological Quantum Criticality II: Conformal manifolds, Isolated fixed points and Entanglement
Saran Vijayan, Fei Zhou
In this article, we propose the realization of conformal manifolds, which are smooth manifolds of scale-conformal invariant interacting Hamiltonians in two-dimensional quantum many…
Dynamic critical exponents as an emergent property at interacting topological quantum critical points
Fan Yang, Zheng-Cheng Gu, Fei Zhou
In standard studies of quantum critical points (QCPs), the dynamic critical exponent is introduced as a fundamental parameter along with global symmetries to identify universal…
Surface topological quantum criticality: Conformal manifolds and Discrete Strong Coupling Fixed Points
Saran Vijayan, Fei Zhou
In this article, we study quantum critical phenomena in surfaces of symmetry-protected topological matter, i.e. surface topological quantum criticality. A generic phase boundary of…
Emergent symmetries and Interactions: An isolated fixed point Vs a manifold of strongly interacting fixed points
Fei Zhou
In this article, we study conditions of continuous emergent symmetries in gapless states, either as topological quantum critical points (TQCPs) or a stable phase with protecting sy…