Topological quantum phase transition and the Berry phase near the Fermi surface in hole-doped quantum wells

Abstract

We propose a topological quantum phase transition for quantum states with different Berry phases in hole-doped III-V semiconductor quantum wells with bulk and structure inversion asymmetry. The Berry phase of the occupied Bloch states can be characteristic of topological metallic states. It is found that the adjustment of thickness of the quantum well may cause a transition of Berry phase in two-dimensional hole gas. Correspondingly, the jump of spin Hall conductivity accompanies the change of the Berry phase. This property is robust against the impurity potentials in the system. Experimental detection of this topological quantum phase transition is discussed.

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• Massive Dirac fermions and spin physics in an ultrathin film of topological insulator
• Topological insulator and the Dirac equation
• Torque and conventional spin-Hall currents in two-dimensional spin-orbit coupled systems: Universal relation and hyper-selection rule
• Disorder effect of resonant spin Hall effect in a tilted magnetic field
• Transverse force generated by an electric field and transverse charge imbalance in spin-orbit coupled systems
• Weak localization and Berry flux in topological crystalline insulators with a quadratic surface spectrum
• Pairwise Entanglement and Geometric Phase in $d=2,3$-Dimensional Free-Fermion Lattice Systems
• The Berry phase: a topological test for the spectrum structure of frustrated quantum spin systems