Quantum skyrmion Hall effect

• URL: http://arxiv.org/abs/2305.18626v1
• Date: Mon, 29 May 2023 21:21:38 GMT
• Title: Quantum skyrmion Hall effect
• Authors: Ashley M. Cook
• Abstract summary: We consider the problem of magnetic charges in $(2+1)$ dimensions for a torus geometry in real-space. We compute the Hall conductivity associated with transport of these charges for the case of negligible gapless excitations. We find it is proportional to an integer-valued topological invariant $mathcalQ$, corresponding to a magnetic quantum Hall effect.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We consider the problem of magnetic charges in $(2+1)$ dimensions for a torus geometry in real-space, subjected to an inverted Lorentz force due to an external electric field applied normal to the surface of the torus. We compute the Hall conductivity associated with transport of these charges for the case of negligible gapless excitations and global $\mathrm{U}(1)$ charge conservation symmetry, and find it is proportional to an integer-valued topological invariant $\mathcal{Q}$, corresponding to a magnetic quantum Hall effect (MQHE). We identify a lattice model realizing this physics in the absence of an external electric field. Based on this, we identify a generalization of the MQHE to be quantized transport of magnetic skyrmions, the quantum skyrmion Hall effect (QSkHE), with a $\mathrm{U}(1)$ easy-plane anisotropy of magnetic skyrmions and effective conservation of charge associated with magnetic skyrmions yielding incompressibility, provided a hierarchy of energy scales is respected. As the lattice model may be characterized both by a total Chern number and the topological invariant $\mathcal{Q}$, we furthermore outline a possible field theory for electric charges, magnetic charges, and correlations between magnetic and electric charges approximated as composite particles, on a two-torus, to handle the scenario of intermediate-strength correlations between electric and magnetic charges modeled as composite particles. We map this problem to a generalized $(4+1)$D theory of the quantum Hall effect for the composite particles.

Related papers

• Higgs Condensates are Symmetry-Protected Topological Phases: II. $U(1)$ Gauge Theory and Superconductors [0.0]
  We show that a Higgs phase in $d$ spatial dimensions is in a non-trivial $U(1)$ SPT class protected by a global $U(1)$ symmetry associated with the Higgs field. The signature properties of superconductors -- Higgs phases for electromagnetism -- can be reproduced from this SPT response. We also treat generalizations to partial-Higgs phases, including "2e" condensates in electronic superconductors.
  arXiv  Detail & Related papers  (2023-03-14T17:59:42Z)
• Studying chirality imbalance with quantum algorithms [62.997667081978825]
  We employ the (1+1) dimensional Nambu-Jona-Lasinio (NJL) model to study the chiral phase structure and chirality charge density of strongly interacting matter. By performing the Quantum imaginary time evolution (QITE) algorithm, we simulate the (1+1) dimensional NJL model on the lattice at various temperature $T$ and chemical potentials $mu$, $mu_5$.
  arXiv  Detail & Related papers  (2022-10-06T17:12:33Z)
• Spin-zero bound states on the 2D Klein-Gordon equation under uniform magnetic field [0.0]
  We present an interaction modeling for the relativistic spin-0 charged particles moving in a uniform magnetic field. As a functional approach to the nuclear interaction, we consider particle bound states without antiparticle regime. Putting the approximation to spin-zero motion with $V(r)$$neq$$0$ and $S(r)$$=$$0$, one can introduced solvable model in the 2D polar space.
  arXiv  Detail & Related papers  (2022-08-09T13:28:23Z)
• Duality, decay rates and local-field models in macroscopic QED [0.0]
  Heaviside-Larmor duality symmetry of Maxwell's equations is broken by the usual form of magnetic interaction energy. Local fields should be treated as a necessity for correctly translating between the microscopic world of the dipole and the macroscopic world of the measured fields. We compute the magnetic dipole decay rate in a magneto-dielectric with local-field effects taken into account.
  arXiv  Detail & Related papers  (2021-12-10T19:00:00Z)
• Spin-1/2 particles under the influence of a uniform magnetic field in the interior Schwarzschild solution [62.997667081978825]
  relativistic wave equation for spin-1/2 particles in the interior Schwarzschild solution in the presence of a uniform magnetic field is obtained. Results are relevant to the physics of the interior of neutron stars, where both the gravitational and the magnetic fields are very intense.
  arXiv  Detail & Related papers  (2021-11-30T14:46:00Z)
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature [62.997667081978825]
  We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
  arXiv  Detail & Related papers  (2021-01-21T14:33:34Z)
• Spin Entanglement and Magnetic Competition via Long-range Interactions in Spinor Quantum Optical Lattices [62.997667081978825]
  We study the effects of cavity mediated long range magnetic interactions and optical lattices in ultracold matter. We find that global interactions modify the underlying magnetic character of the system while introducing competition scenarios. These allow new alternatives toward the design of robust mechanisms for quantum information purposes.
  arXiv  Detail & Related papers  (2020-11-16T08:03:44Z)
• Quantum coherence, quantum Fisher information and teleportation in the Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer with magnetic impurity [0.0]
  We study the effect of non-uniform magnetic fields on the Ising-Heisenberg chain of a heterotrimetallic coordination compound $mathrmFe-Mn-Cu$.
  arXiv  Detail & Related papers  (2020-08-12T07:14:04Z)
• Background magnetic field and quantum correlations in the Schwinger effect [2.163323734347183]
  We consider two complex scalar fields distinguished by their masses coupled to constant background electric and magnetic fields. Since the background magnetic field itself cannot cause the decay of the Minkowski vacuum, our chief motivation here is to investigate the interplay between the effects due to the electric and magnetic fields.
  arXiv  Detail & Related papers  (2020-05-26T16:54:11Z)
• General quantum-mechanical solution for twisted electrons in a uniform magnetic field [68.8204255655161]
  A theory of twisted (and other structured) paraxial electrons in a uniform magnetic field is developed. The observable effect of a different behavior of relativistic Laguerre-Gauss beams with opposite directions of the orbital angular momentum penetrating from the free space into a magnetic field is predicted.
  arXiv  Detail & Related papers  (2020-05-13T16:35:10Z)
• 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.