Quantum revivals in HgTe/CdTe quantum wells and topological phase transitions
arXiv:2401.03884 · doi:10.21468/SciPostPhysCore.7.2.029
Abstract
The time evolution of a wave packet is a tool to detect topological phase transitions in two-dimensional Dirac materials, such as graphene and silicene. Here we extend the analysis to HgTe/CdTe quantum wells and study the evolution of their electron current wave packet, using 2D effective Dirac Hamiltonians and different layer thicknesses. We show that the two different periodicities that appear in this temporal evolution reach a minimum near the critical thickness, where the system goes from normal to inverted regime. Moreover, the maximum of the electron current amplitude changes with the layer thickness, identifying that current maxima reach their higher value at the critical thickness. Thus, we can characterize the topological phase transitions in terms of the periodicity and amplitude of the electron currents.
10 pages, 10 figures, 1 table
References in corpus (29)
- Topological insulators and superconductors
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
- Magnetic-field-induced quantized anomalous Hall effect in intrinsic magnetic topological insulator MnBiTe
- Intrinsic magnetic topological insulators in van der Waals layered MnBiTe-family materials
- The Quantum Spin Hall Effect: Theory and Experiment
- Quantum Spin Hall Effect in Inverted Type II Semiconductors
- Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
- Observation of quantum state collapse and revival due to the single-photon Kerr effect
- Quantum wave packet revivals
- Band structure of semimagnetic Hg1-yMnyTe quantum wells
- Single valley Dirac fermions in zero-gap HgTe quantum wells
- Valley-Spin Polarization in the Magneto-Optical Response of Silicene and Other Similar 2D Crystals
- Fingerprint of Different Spin-Orbit Terms for Spin Transport in HgTe Quantum Wells
- Landau levels and magneto-transport property of monolayer phosphorene
- Magneto-Optical Conductivity of Silicene and Other Buckled Honeycomb Lattices
- Optical Signatures of the Tunable Band Gap and Valley-Spin Coupling in Silicene
- Magnetic properties of HgTe quantum wells
- Inverse participation ratio and localization in topological insulator phase transitions
- Revivals, classical periodicity, and zitterbewegung of electron currents in monolayer graphene
- Two-Dimensional Lattice Model for the Surface States of Topological Insulators
- Probing topological transitions in HgTe/CdTe quantum wells by magneto-optical measurements
- Identifying topological-band insulator transitions in silicene and other 2D gapped Dirac materials by means of Rényi-Wehrl entropy
- Band inversion at critical magnetic fields in a silicene quantum dot
- Zitterbewegung in monolayer silicene in a magnetic field
- Revival times at quantum phase transitions
- Entropic uncertainty relations and topological-band insulator transitions in 2D gapped Dirac materials
- Faraday rotation and transmittance as markers of topological phase transitions in 2D materials