g-factor symmetry and topology in semiconductor band states

• URL: http://arxiv.org/abs/2402.06310v2
• Date: Mon, 22 Jul 2024 07:23:12 GMT
• Title: g-factor symmetry and topology in semiconductor band states
• Authors: Mira Sharma, David P. DiVincenzo,
• Abstract summary: tensor determines the reaction of Kramers-degenerate states to an applied magnetic field. We show new symmetry and topological features of $bfg_L+bfg_S$ in silicon, germanium, and gallium arsenide.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The $\bf{g}$ tensor, which determines the reaction of Kramers-degenerate states to an applied magnetic field, is of increasing importance in the current design of spin qubits. It is affected by details of heterostructure composition, disorder, and electric fields, but it inherits much of its structure from the effect of the spin-orbit interaction working at the crystal-lattice level. Here we uncover new symmetry and topological features of $\bf{g}=\bf{g}_L+\bf{g}_S$ for important valence and conduction bands in silicon, germanium, and gallium arsenide. For all crystals with high (cubic) symmetry, we show that large departures from the nonrelativistic value $g=2$ are guaranteed by symmetry. In particular, considering the spin part $\bf{g}_S(\bf{k})$, we prove that the scalar function $det(\bf{g}_S(\bf{k}))$ must go to zero on closed surfaces in the Brillouin zone, no matter how weak the spin-orbit coupling is. We also prove that for wave vectors $\bf{k}$ on these surfaces, the Bloch states $|u_{n\bf{k}}\rangle$ have maximal spin-orbital entanglement. Using tight-binding calculations, we observe that the surfaces $det(\bf{g}(\bf{k}))=0$ exhibit many interesting topological features, exhibiting Lifshitz critical points as understood in Fermi-surface theory.

Related papers

• Chiral spin liquid in a generalized Kitaev honeycomb model with $\mathbb{Z}_4$ 1-form symmetry [5.05619453134404]
  We explore a large $N$ generalization of the Kitaev model on the honeycomb lattice with a simple nearest-neighbor interacting Hamiltonian. In particular, we focus on the $mathbbZ_4$ case with isotropic couplings, which is characterized by an exact $mathbbZ_4$ one-form symmetry. A unified perspective for all $mathbbZ_N$ type Kitaev models is also discussed.
  arXiv  Detail & Related papers  (2024-08-04T14:53:23Z)
• Helicity is a topological invariant of massless particles: C=-2h [18.79946237767752]
  We show that a subtler relation exists between the topological and geometry of massless particles. We generate all massless bundle representations via an abelian group structure of massless particles.
  arXiv  Detail & Related papers  (2024-07-03T20:48:18Z)
• Small Circle Expansion for Adjoint QCD$_2$ with Periodic Boundary Conditions [0.0]
  Supersymmetry is found at the adjoint mass-squared $g2 hvee/ (2pi)$, where $hvee$ is the dual Coxeter number of $G$. We generalize our results to other gauge groupsG$, for which supersymmetry is found at the adjoint mass-squared $g2 hvee/ (2pi)$, where $hvee$ is the dual Coxeter number of $G$.
  arXiv  Detail & Related papers  (2024-06-24T19:07:42Z)
• Geometry of degenerate quantum states, configurations of $m$-planes and invariants on complex Grassmannians [55.2480439325792]
  We show how to reduce the geometry of degenerate states to the non-abelian connection $A$. We find independent invariants associated with each triple of subspaces. Some of them generalize the Berry-Pancharatnam phase, and some do not have analogues for 1-dimensional subspaces.
  arXiv  Detail & Related papers  (2024-04-04T06:39:28Z)
• Quantum charges of harmonic oscillators [55.2480439325792]
  We show that the energy eigenfunctions $psi_n$ with $nge 1$ are complex coordinates on orbifolds $mathbbR2/mathbbZ_n$. We also discuss "antioscillators" with opposite quantum charges and the same positive energy.
  arXiv  Detail & Related papers  (2024-04-02T09:16:18Z)
• Computational Insights into Electronic Excitations, Spin-Orbit Coupling Effects, and Spin Decoherence in Cr(IV)-based Molecular Qubits [63.18666008322476]
  We provide insights into key properties of Cr(IV)-based molecules aimed at assisting chemical design of efficient molecular qubits. We find that the sign of the uniaxial zero-field splitting (ZFS) parameter is negative for all considered molecules. We quantify (super)hyperfine coupling to the $53$Cr nuclear spin and to the $13C and $1H nuclear spins.
  arXiv  Detail & Related papers  (2022-05-01T01:23:10Z)
• Fractional disclination charge and discrete shift in the Hofstadter butterfly [15.3862808585761]
  We numerically compute the discrete shift $mathscrS$ for the square lattice Hofstadter model of free fermions. We show that bands with the same Chern number may have different values of $mathscrS$, although odd and even Chern number bands always have half-integer and integer values of $mathscrS$ respectively.
  arXiv  Detail & Related papers  (2022-04-11T18:00:01Z)
• Symmetry-resolved entanglement entropy in critical free-fermion chains [0.0]
  symmetry-resolved R'enyi entanglement entropy is known to have rich theoretical connections to conformal field theory. We consider a class of critical quantum chains with a microscopic U(1) symmetry. For the density matrix, $rho_A$, of subsystems of $L$ neighbouring sites we calculate the leading terms in the large $L$ expansion of the symmetry-resolved R'enyi entanglement entropies.
  arXiv  Detail & Related papers  (2022-02-23T19:00:03Z)
• Quantum information measures of the Dirichlet and Neumann hyperspherical dots [0.0]
  $mathttd$-dimensional hyperspherical quantum dot with either Dirichlet or Neumann boundary conditions (BCs) This paves the way to an efficient computation in either space of Shannon, R'enyi and Tsallis entropies, Onicescu energies and Fisher informations.
  arXiv  Detail & Related papers  (2021-03-24T11:08:31Z)
• The Geometry of Time in Topological Quantum Gravity of the Ricci Flow [62.997667081978825]
  We continue the study of nonrelativistic quantum gravity associated with a family of Ricci flow equations. This topological gravity is of the cohomological type, and it exhibits an $cal N=2$ extended BRST symmetry. We demonstrate a standard one-step BRST gauge-fixing of a theory whose fields are $g_ij$, $ni$ and $n$, and whose gauge symmetries consist of (i) the topological deformations of $g_ij$, and (ii) the ultralocal nonrelativistic limit of space
  arXiv  Detail & Related papers  (2020-11-12T06:57:10Z)
• Emergent universality in critical quantum spin chains: entanglement Virasoro algebra [1.9336815376402714]
  Entanglement entropy and entanglement spectrum have been widely used to characterize quantum entanglement in extended many-body systems. We show that the Schmidt vectors $|v_alpharangle$ display an emergent universal structure, corresponding to a realization of the Virasoro algebra of a boundary CFT.
  arXiv  Detail & Related papers  (2020-09-23T21:22:51Z)

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.