Band inversion transition in HgTe nanowire grown along the [001] direction

• URL: http://arxiv.org/abs/2512.00334v1
• Date: Sat, 29 Nov 2025 05:52:24 GMT
• Title: Band inversion transition in HgTe nanowire grown along the [001] direction
• Authors: Rui Li,
• Abstract summary: The low-energy effective Hamiltonian of a cylindrical HgTe nanowire grown along the [001] crystallographic direction is constructed by using the perturbation theory.<n>The bulk inversion asymmetry does not contribute to the low-energy effective Hamiltonian, i.e., there is no spin splitting in the $E_1$, $H_1$, and $H_2$ subbands for a [001] oriented cylindrical nanowire.
• Score: 2.5804275008691815
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The low-energy effective Hamiltonian of a cylindrical HgTe nanowire grown along the [001] crystallographic direction is constructed by using the perturbation theory. Both the anisotropic term and the bulk inversion asymmetry term of the Kane model are taken into account. Although the anisotropic term has converted the crossing between the $E_{1}$ and $H_{1}$ subbands into an anticrossing at $k_{z}R\!=\!0$, the gap-closing-and-reopening transition in the subband structure can still occur at the wave vectors $k_{z}R\!\approx\!\pm0.24$ for critical nanowire radius $R\!\approx\!3.45$ nm. The bulk inversion asymmetry does not contribute to the low-energy effective Hamiltonian, i.e., there is no spin splitting in the $E_{1}$, $H_{1}$, and $H_{2}$ subbands for a [001] oriented cylindrical nanowire.

Related papers

• High-Field NMR Characterization and Indirect $J$-Spectroscopy of a Nuclear Spin Chain [U-$^{13}$C,$^{15}$N]-butyronitrile [35.29742953849465]
  One-dimensional chains of coupled spins are minimal models of strongly correlated quantum matter.<n>We present [U-$13$C,$15$N]-butyronitrile as a chemically engineered nuclear spin chain.<n>Our results establish [U-$13$C,$15$N]-butyronitrile as an extremely well-characterized spin chain model system.
  arXiv  Detail & Related papers  (2026-02-14T21:35:34Z)
• Screw-dislocation-engineered quantum dot: geometry-tunable nonlinear optics, orbital qubit addressability, and torsion metrology [0.0]
  We study a single electron confined in a uniform-torsion medium, in a perpendicular magnetic field, and in the presence of an Aharonov--Bohm flux.<n>We find: (i) a torsion-controlled optical transition whose energy blue-shifts from $sim 6.8$ to $sim 15.5$meV and whose saturation intensity varies by an order of magnitude, enabling geometry-programmable optical switching.<n>We also show how torsion provides textitin situ control of emitter--cavity detuning and light-matter coupling in cavity QED, in
  arXiv  Detail & Related papers  (2025-11-17T21:16:35Z)
• Geometry-Induced Chiral Currents in a Mesoscopic Helicoidal Quantum Well [0.0]
  We introduce a mesoscopic quantum well whose confinement and chirality emerge solely from the intrinsic torsion of a finite helicoidal metric.<n>We propose three viable experimental platforms, ultracold atoms in optical traps, femtosecond-written photonic waveguides, and strain-engineered semiconductor nanorolls.
  arXiv  Detail & Related papers  (2025-07-07T13:56:16Z)
• Quantum Phonon Dynamics Induced Spontaneous Spin-Orbit Coupling [9.748987642024122]
  A spin-dependent electron-phonon coupling model is investigated on a half-filled square lattice. Spin-orbit coupling emerges as an order in the ground state for any $lambda$ in the adiabatic limit. Our work opens up the possibility of hidden spin-orbit coupling in materials where it is otherwise forbidden by lattice symmetry.
  arXiv  Detail & Related papers  (2024-10-22T12:19:52Z)
• Flux-Tunable Regimes and Supersymmetry in Twisted Cuprate Heterostructures [39.58317527488534]
  Two Josephson junctions are integrated in a SQuID circuit threaded by a magnetic flux. We show that the flowermon qubit regime is maintained up to a finite critical value of the magnetic field. The interplay between the inherent twisted d-wave nature of the order parameter and the external magnetic flux enables the implementation of different artificial atoms.
  arXiv  Detail & Related papers  (2024-05-06T13:27:19Z)
• Waveguide quantum electrodynamics at the onset of spin-spin correlations [36.136619420474766]
  We find that molecules belonging to one of the two crystal sublattices form one-dimensional spin chains.<n>The microwave transmission shows evidences for the collective coupling of quasi-identical spins to the propagating photons.
  arXiv  Detail & Related papers  (2024-04-04T18:00:05Z)
• Low-energy hole subband dispersions in a cylindrical Ge nanowire: the effects of the nanowire growth direction [8.027166391864915]
  We examine the validity of the spherical approximation $gamma_s= (2gamma_2+3gamma_3)/5$ in the Luttinger-Kohn Hamiltonian in calculating the subband dispersions of the hole gas. We calculate the realistic hole subband dispersions in a cylindrical Ge nanowire by using quasi-degenerate perturbation theory.
  arXiv  Detail & Related papers  (2023-01-20T02:23:28Z)
• Spin Current Density Functional Theory of the Quantum Spin-Hall Phase [59.50307752165016]
  We apply the spin current density functional theory to the quantum spin-Hall phase. We show that the explicit account of spin currents in the electron-electron potential of the SCDFT is key to the appearance of a Dirac cone.
  arXiv  Detail & Related papers  (2022-08-29T20:46:26Z)
• Low-energy subband wave-functions and effective $g$-factor of one-dimensional hole gas [2.696926374562295]
  One-dimensional (1D) hole gas confined in a cylindrical Ge nanowire has potential applications in quantum information technologies. We analytically study the low-energy properties of this 1D hole gas.
  arXiv  Detail & Related papers  (2021-03-25T01:00:53Z)
• Generating ${\rm N00N}$-states of surface plasmon-polariton pairs with a nanoparticle [58.720142291102135]
  We consider a generation of two-particle quantum states in the process of spontaneous parametric down-conversion of light. We show that for certain excitation geometries, $rm N00N$-states of surface plasmon-polariton pairs could be obtained.
  arXiv  Detail & Related papers  (2020-02-12T22:59:38Z)
• Optimal coupling of HoW$_{10}$ molecular magnets to superconducting circuits near spin clock transitions [85.83811987257297]
  We study the coupling of pure and magnetically diluted crystals of HoW$_10$ magnetic clusters to microwave superconducting coplanar waveguides. Results show that engineering spin-clock states of molecular systems offers a promising strategy to combine sizeable spin-photon interactions with a sufficient isolation from unwanted magnetic noise sources.
  arXiv  Detail & Related papers  (2019-11-18T11:03:06Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.