Electronic Properties of Graphene Quantum Ring with Wedge Disclination

• URL: http://arxiv.org/abs/2007.02138v1
• Date: Sat, 4 Jul 2020 16:46:33 GMT
• Title: Electronic Properties of Graphene Quantum Ring with Wedge Disclination
• Authors: Abdelhadi Belouad, Ahmed Jellal, Hocine Bahlouli
• Abstract summary: We study the energy spectrum and persistent current of charge carriers confined in a graphene quantum ring geometry. We consider the case where the crystal symmetry is locally modified by replacing a hexagon by a pentagon, square, heptagon or octagon. We also investigate the persistent currents that appear in the quantum ring and how wedge disclination influences different quantum transport quantities.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the energy spectrum and persistent current of charge carriers confined in a graphene quantum ring geometry of radius $R$ and width $w$ subjected to a magnetic flux. We consider the case where the crystal symmetry is locally modified by replacing a hexagon by a pentagon, square, heptagon or octagon. To model this type of defect we include appropriate boundary conditions for the angular coordinate. The electrons are confined to a finite width strip in radial direction by setting infinite mass boundary conditions at the edges of the strip. The solutions are expressed in terms of Hankel functions and their asymptotic behavior allows to derive quantized energy levels in the presence of an energy gap. We also investigate the persistent currents that appear in the quantum ring and how wedge disclination influences different quantum transport quantities.

Related papers

• Topological Solitons in Square-root Graphene Nanoribbons Controlled by Electric Fields [34.82692226532414]
  Graphene nanoribbons (GNRs) have unique topological properties induced and controlled by an externally applied electric field. We show different topological phases can be achieved by controlling the direction of the field and the chemical potential of the system in square-root GNRs.
  arXiv  Detail & Related papers  (2024-06-20T03:58:24Z)
• Adiabatic State Preparation in a Quantum Ising Spin Chain [32.352947507436355]
  We report on adiabatic state preparation in the one-dimensional quantum Ising model using ultracold bosons in a tilted optical lattice. We observe enhanced fluctuations around the transition between paramagnetic and antiferromagnetic states, marking the precursor of quantum critical behavior.
  arXiv  Detail & Related papers  (2024-04-11T05:27:40Z)
• Unveiling the Quantum Toroidal Dipole in Nanosystems: Quantization, Interaction Energy, and Measurement [44.99833362998488]
  We investigate a quantum particle confined to a toroidal surface in the presence of a filiform current along the system's rotational axis. Our analysis reveals that the interaction between the particle and the current induces a non-zero toroidal dipole in the particle's stationary states.
  arXiv  Detail & Related papers  (2024-01-26T13:31:32Z)
• Topological Matter and Fractional Entangled Quantum Geometry through Light [0.0]
  We show that global topological properties are encoded from the poles of the surface allowing a correspondence between smooth fields, metric and quantum distance with the square of the topological number. We develop the theory, "quantum topometry" in space and time, and present applications on transport from a Newtonian approach.
  arXiv  Detail & Related papers  (2022-09-30T11:17:24Z)
• Zero-energy states in graphene quantum dot with wedge disclination [0.0]
  We investigate the effects of wedge disclination on charge carriers in circular graphene quantum dots subjected to a magnetic flux. It is found that the density of states shows several resonance peaks under various conditions.
  arXiv  Detail & Related papers  (2022-08-09T17:31:49Z)
• Quantum tunneling in graphene Corbino disk in a solenoid magnetic potential with wedge disclination [0.0]
  wedge disclination effect on quantum tunneling of Corbino disk in gapped-graphene of inner $R_1$ and outer $R$ radii in presence of magnetic flux $Phi_i$. We establish the case where the crystal symmetry is modified locally by replacing a hexagon by pentagon, square, heptagon or octagon. We show that the wedge disclination $n$ modifies the amplitude of transmission oscillations.
  arXiv  Detail & Related papers  (2022-02-02T15:04:22Z)
• Effect of Emitters on Quantum State Transfer in Coupled Cavity Arrays [48.06402199083057]
  We study the effects of atoms in cavities which can absorb and emit photons as they propagate down the array. Our model is equivalent to previously examined spin chains in the one-excitation sector and in the absence of emitters.
  arXiv  Detail & Related papers  (2021-12-10T18:52:07Z)
• Scaling limits of lattice quantum fields by wavelets [62.997667081978825]
  The renormalization group is considered as an inductive system of scaling maps between lattice field algebras. We show that the inductive limit of free lattice ground states exists and the limit state extends to the familiar massive continuum free field.
  arXiv  Detail & Related papers  (2020-10-21T16:30:06Z)
• Energy Levels of Gapped Graphene Quantum Dot in Magnetic Field [0.0]
  We study the energy levels of carriers confined in a magnetic quantum dot of graphene surrounded by a infinite graphene sheet in the presence of energy gap. We numerically investigate our results and show that the energy levels exhibit the symmetric and antisymmetric behaviors under suitable conditions of the physical parameters.
  arXiv  Detail & Related papers  (2020-08-06T15:32:57Z)
• Density of States Analysis of Electrostatic Confinement in Gapped Graphene [0.0]
  We investigate the electrostatic confinement of charge carriers in a gapped graphene quantum dot in the presence of a magnetic flux. It is found that the energy gap can controls the amplitude and width of these resonances and affect their location in the density of states profile.
  arXiv  Detail & Related papers  (2020-07-21T08:23:37Z)
• Radiative topological biphoton states in modulated qubit arrays [105.54048699217668]
  We study topological properties of bound pairs of photons in spatially-modulated qubit arrays coupled to a waveguide. For open boundary condition, we find exotic topological bound-pair edge states with radiative losses. By joining two structures with different spatial modulations, we find long-lived interface states which may have applications in storage and quantum information processing.
  arXiv  Detail & Related papers  (2020-02-24T04:44:12Z)

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.