Characterization of helical states in semiconductor quantum wells using quantum information quantities
arXiv:2207.06298 · doi:10.1016/j.physe.2022.115406
Abstract
The information content of one-electron bulk and edge states in semiconductor quantum wells is calculated in the inverted regime, where edge states, topologically protected, are responsible for the conduction in Spin Quantum Hall effect experiments. To study the information content of these states we first calculate realistic two dimensional one-electron states, solving first the eight-band Hamiltonian to obtain the bulk states and then a four band effective Hamiltonian to obtain the edge states. The behavior of information-like quantities, as a function of the different parameters that define the quantum well, is analyzed. The results presented show that the helical edge states can be singled out using different quantities that characterize the rich phenomenology of these states.
References in corpus (40)
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Classification of topological insulators and superconductors in three spatial dimensions
- Topological entanglement entropy
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Entanglement spectrum of a topological phase in one dimension
- An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
- Area laws in quantum systems: mutual information and correlations
- Identifying Topological Order by Entanglement Entropy
- Evidence of high-temperature exciton condensation in 2D atomic double layers
- Entanglement spectrum of topological insulators and superconductors
- Band structure of semimagnetic Hg1-yMnyTe quantum wells
- Topological Entanglement Entropy of a Bose-Hubbard Spin Liquid
- Entanglement entropy in fermionic Laughlin states
- Topological characterization of fractional quantum Hall ground states from microscopic Hamiltonians
- Characterizing topological order by studying the ground states of an infinite cylinder
- Fingerprint of Different Spin-Orbit Terms for Spin Transport in HgTe Quantum Wells
- Entanglement spectra of quantum Heisenberg ladders
- Disentangling Entanglement Spectra of Fractional Quantum Hall States on Torus Geometries
- Entanglement negativity and topological order
- Bipartite entanglement entropy in fractional quantum Hall states
- Real-Space Entanglement Spectrum of Quantum Hall States
- Magnetic properties of HgTe quantum wells
- Magnetic field effects on edge and bulk states in topological insulators based on HgTe/CdHgTe quantum wells with strong natural interface inversion asymmetry
- Entanglement Entropy as a Portal to the Physics of Quantum Spin Liquids
- Phase transitions in two tunnel-coupled HgTe quantum wells. Bilayer graphene analogy and beyond
- Entanglement signatures of quantum Hall phase transitions
- Bulk Entanglement Spectrum Reveals Quantum Criticality within a Topological State
- Realistic picture of helical edge states in HgTe quantum wells
- Robust Helical Edge Transport in Quantum Spin Hall Quantum Wells
- Multipartitioning topological phases by vertex states and quantum entanglement
- Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis
- Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers
- Topological Kondo insulators in one dimension: Continuous Haldane-type ground-state evolution from the strongly-interacting to the non-interacting limit
- Interaction induced edge states in HgTe/CdTe Quantum Well under magnetic field
- Excitonic states in spherical layered quantum dots
- Resonance states in a cylindrical quantum dot with an external magnetic field
- Convexity properties of superpositions of degenerate bipartite eigenstates
- Study of the transition from resonance to bound states in quantum dots embedded on a nanowire using the method