Theory of topological quantum phase transitions in 3D noncentrosymmetric systems

Abstract

We have constructed a general theory describing the topological quantum phase transitions in 3D systems with broken inversion symmetry. While the consideration of the system's codimension generally predicts the appearance of a stable metallic phase between the normal and topological insulators, it is shown that a direct topological phase transition between two insulators is also possible when an accidental band crossing (ABC) occurs along directions with high crystalline symmetry. At the quantum critical point (QCP), the energy dispersion becomes quadratic along one direction while the dispersions along the other two orthogonal directions are linear, which manifests the zero chirality of the band touching point (BTP). Due to the anisotropic dispersion at QCP, various thermodynamic and transport properties show unusual temperature dependence and anisotropic behaviors.

5+6 pages, 3+5 figures, 1 table

References in corpus (6)

• Topological Field Theory of Time-Reversal Invariant Insulators
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Unexpected mass acquisition of Dirac fermions at the quantum phase transition of a topological insulator
• Universal phase diagrams for the quantum spin Hall systems
• Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids

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• Quantum Criticality of Topological Phase Transitions in 3D Interacting Electronic Systems
• Emergence of topological semimetals in gap closing in semiconductors without inversion symmetry
• Emergent non-Fermi liquid at the quantum critical point of a topological phase transition in two dimensions
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• Novel criticality of Dirac fermions from lattice symmetry breaking
• Novel criticality of Dirac fermions in the presence of emergent gauge fields
• Orbital hybridized topological Fulde-Ferrel superfluidity in a noncentrosymmetric optical lattice
• Unconventional scaling theory in disorder-driven quantum phase transition
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• Spinor-dominated magnetoresistance driven by the topological phase transition in $\beta$-Ag${}_2$Se
• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder
• Dynamic critical exponents as an emergent property at interacting topological quantum critical points