Integer quantum Hall effect on an interface with disclinations

Lima, Anderson Alves de; Filgueiras, Cleverson

doi:10.1140/epjb/e2012-30766-9

Cited by 11 publications

(16 citation statements)

References 44 publications

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“…Our purpose here is to investigate the combined influence of rotation and disclination in the Hall conductivity. As expected, and in fact verified in [10,11], we find that rotation and the disclination, separately couple to angular momentum, as does the magnetic field. But, when rotation, disclination, and magnetic field act together on the free electron gas, a new coupling is found involving all of them simultaneously.…”

Section: Introductionsupporting

confidence: 87%

“…Now, considering a = 1 and W ¹ 0, i.e., when the system rotates but has no disclination, we recover the result found in [11]. On the other hand, by considering a ¹ 1 and W = 0, we recover the result presented in the [10,21]. The disclination alone introduces a change in the angular momentum that breaks the infinite degeneracy of the LL [21].…”

Section: Energy Levelssupporting

confidence: 79%

“…This is done with the inclusion of a topological defect (disclination) and by making the system rotate around the defect axis. Separately, the disclination [10] and the rotation [9,11] introduce subtle modifications in the LL spectrum without changing the linear dependence of the energy on the magnetic field. Together, they make the energy dependence on the magnetic field become parabolic and there appears a range of magnetic field free of LL, as presented below.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, the counting of states fully occupied below the Fermi energy may change, altering the Hall quantization steps. Charged particles in a sample with a single disclination, in the presence of an orthogonal constant magnetic field, were also studied in [10], where it was found a modification in the Hall conductivity steps due to the defect. Our purpose here is to investigate the combined influence of rotation and disclination in the Hall conductivity.…”

Section: Introductionmentioning

confidence: 99%

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Inertial and topological effects on a 2D electron gas

et al. 2017

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In this work, we study how the combination of rotation and a topological defect can influence the energy spectrum of a two dimensional electron gas in a strong perpendicular magnetic field. A deviation from the linear behavior of the energy as a function of magnetic field, caused by a tripartite term of the Hamiltonian, involving magnetic field, the topological charge of the defect and the rotation frequency, leads to novel features which include a range of magnetic field without corresponding Landau levels and changes in the Hall quantization steps.

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Section: Introductionsupporting

confidence: 87%

Section: Energy Levelssupporting

confidence: 79%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Inertial and topological effects on a 2D electron gas

et al. 2017

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“…On the other hand, the constraint |ℓ| α 1 + 2mα 2 V0r 2 0 2 |ℓ| 2 < 1 must be imposed if the irregular solution is present as a possible wave function. This condition guarantees that it is square integrable [22][23][24]. From these discussions, the discrete possible values for the energy are given by…”

Section: The Schrödinger Equation For the Systemmentioning

confidence: 99%

Topological and non inertial effects on the interband light absorption

et al. 2018

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The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios

2023

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In this paper, we analyze the relativistic and nonrelativistic energy spectra (fermionic Landau levels) for the noncommutative quantum Hall effect with anomalous magnetic moment in the conical Gödel-type spacetime in (2 + 1)-dimensions, where such spacetime is the combination of the flat Gödel-type spacetime with a cosmic string (conical gravitational topological defect). To analyze these energy spectra, we start from the noncommutative Dirac equation with minimal and nonminimal couplings in polar coordinates. Using the tetrads formalism, we obtain a second-order differential equation. Next, we solve exactly this differential equation, where we obtain a generalized Laguerre equation, and also a quadratic polynomial equation for the total relativistic energy. By solving this polynomial equation, we obtain the relativistic energy spectrum of the fermion and antifermion. Besides, we also analyze the nonrelativistic limit of the system, where we obtain the nonrelativistic energy spectrum. In both cases (relativistic and nonrelativistic), we discuss in detail the characteristics of each spectrum as well as the influence of all parameters and physical quantities in such spectra. Comparing our problem with other works, we verified that our results generalize several particular cases in the literature.

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Integer quantum Hall effect on an interface with disclinations

Cited by 11 publications

References 44 publications

Inertial and topological effects on a 2D electron gas

Inertial and topological effects on a 2D electron gas

Topological and non inertial effects on the interband light absorption

The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios

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