On the Magnetic-Field Induced Index Matching Due to Mobile Carriers in the Landau Levels

1967 ◽  
Vol 23 (3) ◽  
pp. 575-578
Author(s):  
Hiroshi Hasegawa ◽  
Aiichiro Koyama
Keyword(s):  
Magnetic Field ◽  
Landau Levels ◽  
Index Matching ◽  
The Magnetic Field

MATHEMATICAL MODELING OF TEMPERATURE EFFECT ON THE FAN CHART OF MAGNETOABSORPTION SPECTRUM IN SEMICONDUCTORS

2019 ◽  
pp. 104-115
Author(s):  
G. Gulyamov ◽  
U. I. Erkaboev ◽  
A. G. Gulyamov
Keyword(s):  
Mathematical Modeling ◽  
Magnetic Field ◽  
Temperature Dependence ◽  
Density Of States ◽  
Landau Levels ◽  
Joint Density ◽  
Narrow Gap ◽  
Narrow Gap Semiconductors ◽  
Dispersion Law ◽  
The Magnetic Field

The article considers the oscillations of interband magneto-optical absorption in semiconductors with the Kane dispersion law. We have compared the changes in oscillations of the joint density of states with respect to the photon energy for different Landau levels in parabolic and non-parabolic zones. An analytical expression is obtained for the oscillation of the combined density of states in narrow-gap semiconductors. We have calculated the dependence of the maximum photon energy on the magnetic field at different temperatures. A theoretical study of the band structure showed that the magnetoabsorption oscillations decrease with an increase in temperature, and the photon energies nonlinearly depend on a strong magnetic field. The article proposes a simple method for calculating the oscillation of joint density of states in a quantizing magnetic field with the non-quadratic dispersion law. The temperature dependence of the oscillations joint density of states in semiconductors with non-parabolic dispersion law is obtained. Moreover, the article studies the temperature dependence of the band gap in a strong magnetic field with the non-quadratic dispersion law. The method is applied to the research of the magnetic absorption in narrow-gap semiconductors with nonparabolic dispersion law. It is shown that as the temperature increases, Landau levels are washed away due to thermal broadening and density of states turns into a density of states without a magnetic field. Using the mathematical model, the temperature dependence of the density distribution of energy states in strong magnetic fields is considered. It is shown that the continuous spectrum of the density of states, measured at the temperature of liquid nitrogen, at low temperatures turns into discrete Landau levels. Mathematical modeling of processes using experimental values of the continuous spectrum of the density of states makes it possible to calculate discrete Landau levels. We have created the three-dimensional fan chart of magneto optical oscillations of semiconductors with considering for the joint density of energy states. For a nonquadratic dispersion law, the maximum frequency of the absorbed light and the width of the forbidden band are shown to depend nonlinearly on the magnetic field. Modeling the temperature  dependence allowed us to determine the Landau levels in semiconductors in a wide temperature spectrum. Using the proposed model, the experimental results obtained for narrow-gap semiconductors are analyzed. The theoretical results are compared with experimental results.

Oscillatory non-resonant interband Faraday rotation in InSb and PbTe—a new magneto-optical effect

1971 ◽  
Vol 321 (1546) ◽  
pp. 303-320 ◽  
Keyword(s):  
Magnetic Field ◽  
Conduction Band ◽  
Field Dependence ◽  
Faraday Rotation ◽  
Magnetic Field Dependence ◽  
Energy Gap ◽  
Landau Levels ◽  
Wide Range ◽  
Magneto Optical Effect ◽  
The Magnetic Field

Oscillations in the magnetic field dependence of interband Faraday rotation in degenerate samples of InSb and PbTe at low temperatures have been observed for photons having a wide range of energies which are less than that corresponding to the forbidden energy gap. These oscillations are attributed to the imbalance of contributions from right and left circularly polarized modes to the total rotation, caused by the blocking of certain interband absorptions by conduction-band electrons. The perturbing effect of the variation of carrier concentration is used as an experimental variable. The relative strengths of the oscillations have been reasonably well accounted for by analysis of the interband selection rules and transition strengths given by a theory due to Boswarva & Lidiard. The positions of the oscillations, which depend on the population of Landau levels in the conduction band, have a reciprocal magnetic field dependence as for the de Haas-van Alphen effect, and have yielded quantitative determinations of energy-band parameters.

scholarly journals Field-Angle Dependence of Interlayer Magnetoresistance in Organic Dirac Electron System α-(BEDT-TTF)2I3

Crystals ◽  
2019 ◽  
Vol 9 (4) ◽  
pp. 212 ◽  
Author(s):  
Takehiro Tani ◽  
Naoya Tajima ◽  
Akito Kobayashi
Keyword(s):  
Magnetic Field ◽  
Coulomb Interaction ◽  
Electron System ◽  
Landau Levels ◽  
Spin Splitting ◽  
Organic Conductor ◽  
Angle Dependence ◽  
Dirac Electron ◽  
The Magnetic Field ◽  
Theory And Experiments

The effect of the Coulomb interaction in interlayer magnetoresistance is elucidated in collaboration with theory and experiments for the Dirac electron system in organic conductor α -(BEDT-TTF) 2 I 3 under a strong magnetic field. It is found that the effective g-factor enhanced by Coulomb interaction depends on the angle of the magnetic field, resulting in the field-angle dependence of a characteristic magnetic field in which interlayer resistance has a minimum due to spin splitting N = 0 Landau levels. The qualitative agreement between the theory and experimental results for the field-angle dependence of interlayer magnetoresistance is obtained.

SEQUENTIAL RESONANT TUNNELING BETWEEN LANDAU LEVELS IN GaAs\AlGaAs SUPERLATTICES IN STRONG TILTED MAGNETIC AND ELECTRIC FIELDS

2007 ◽  
Vol 21 (08n09) ◽  
pp. 1594-1599 ◽  
Author(s):  
M. P. TELENKOV ◽  
YU. A. MITYAGIN
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Electric Fields ◽  
Resonant Tunneling ◽  
Landau Levels ◽  
Domain Formation ◽  
Tunneling Transition ◽  
The Magnetic Field ◽  
Component Parallel ◽  
Tilted Magnetic Field

The transverse resonant tunneling transport and electric field domain formation in GaAs/AlGaAs superlattices were investigated in a strong tilted magnetic field. The magnetic field component parallel to structure layers causes intensive tunneling transition between Landau levels with Δn≠0, resulting in the considerable "inhomogeneous" broadening of intersubband tunneling resonance as well as in the shift of the resonance toward higher electric fields. This leads to noticeable changes of the I-V characteristics of the superlattice, namely to smoothing of the periodic NDC structure on plateau-like regions caused by formation of the electric field domains and to the shift of the plateaus toward the higher applied voltage. The predicted behavior of the I-V characteristics of the structures in magnetic field was found experimentally.

scholarly journals MODULATION EFFECT ON SPIN HALL RESONANCE

2013 ◽  
Vol 27 (17) ◽  
pp. 1350129 ◽  
Author(s):  
SK FIROZ ISLAM
Keyword(s):  
Magnetic Field ◽  
Resonance Field ◽  
Landau Levels ◽  
Hall Conductivity ◽  
Modulation Effect ◽  
Modulation Period ◽  
Energy Correction ◽  
Electrical Modulation ◽  
Two Peaks ◽  
The Magnetic Field

The effect of a weak electrical modulation on spin Hall resonance is presented here. In presence of the magnetic field normal to the plane of the motion of electron, the Landau levels are formed which get broadened due to the weak modulation. The width of the Landau levels broadening are periodic with the inverse magnetic field. There is a certain magnetic field for which the crossing of Landau levels between spin-up and spin-down branches takes place. This gives rise to the resonance in the spin Hall conductivity (SHC). The Landau levels broadening or the energy correction due to the modulation removes the singularity which appears at the resonance field in SHC, leading to the suppression of SHC accompanied by two new peaks around this point. The separation of these two peaks increases with the increase of the modulation period. Moreover, we find that the height of the two peaks are also modulation period dependent.

scholarly journals THE EXACT ELECTRON PROPAGATOR IN A MAGNETIC FIELD AS THE SUM OVER LANDAU LEVELS ON A BASIS OF THE DIRAC EQUATION EXACT SOLUTIONS

2011 ◽  
Vol 26 (16) ◽  
pp. 2725-2733 ◽  
Author(s):  
A. V. KUZNETSOV ◽  
A. A. OKRUGIN
Keyword(s):  
Magnetic Field ◽  
Dirac Equation ◽  
Exact Solutions ◽  
Landau Levels ◽  
Large Field ◽  
Quantum Processes ◽  
Direct Derivation ◽  
Calculation Technique ◽  
Further Development ◽  
The Magnetic Field

The exact propagator for an electron in a constant uniform magnetic field as the sum over Landau levels is obtained using the direct derivation by standard methods of quantum field theory from exact solutions to the Dirac equation in the magnetic field. The result can be useful for further development of the calculation technique of quantum processes in an external active medium, particularly in the conditions of moderately large field strengths when it is insufficient to take into account only the ground Landau level contribution.

FUNCTIONAL QUANTIZATION AROUND GW STATES OF FQHE.

1992 ◽  
Vol 06 (26) ◽  
pp. 1649-1664
Author(s):  
A. CABO MONTES DE OCA ◽  
R. GONZALEZ FELIPE ◽  
AURORA PÉREZ MARTINEZ
Keyword(s):  
Magnetic Field ◽  
Spatial Structure ◽  
Functional Equations ◽  
Landau Levels ◽  
Generating Functional ◽  
Hartree Fock ◽  
Magnetic Translation ◽  
Functional Quantization ◽  
Chern Simons ◽  
The Magnetic Field

Generating functional equations related to the Greiter-Wilczek ground states in FQHE are written. The Ward identities of the magnetic translation and rotational invariances allow us to determine the spatial structure of the electron propagator as in usual states. The electromagnetic linear responses again show that the Strêda formula in terms of the derivative over the real magnetic field gives the Hall conductivity. The coefficient of the Chern-Simons effective action is also determined by this expression. Calculations of the energies in the Hartree-Fock approximation are presented up to three filled Landau Levels and all the related filling factors. Under natural assumptions, the Hall resistivity versus the magnetic field curve is determined. It resembles quantitatively the experimental results for the most relevant filling fractions.

MAGNETICALLY INDUCED "DRY" WATER LIKE STRUCTURE OF ELECTRON GAS IN DENSE STELLAR MATTER IN THE PRESENCE OF AN ULTRA STRONG MAGNETIC FIELD

2002 ◽  
Vol 17 (32) ◽  
pp. 2147-2154 ◽  
Author(s):  
SUTAPA GHOSH ◽  
SOMENATH CHAKRABARTY
Keyword(s):  
Magnetic Field ◽  
Field Strength ◽  
Strong Magnetic Field ◽  
Electron Gas ◽  
Core Region ◽  
Landau Levels ◽  
Stellar Matter ◽  
The Core ◽  
Dry Water ◽  
The Magnetic Field

It is shown that electron gas in dense stellar matter exhibit super-fluid (frictionless) like property if the magnetic field strength is high enough to populate only the zeroth Landau levels, i.e. it is possible that at the core of a magnetar, the proton matter behaves like a superconductor, neutron matter behaves like a super-fluid and electron gas shows super-fluidity without superconductivity. Therefore, the core region as a whole of a magnetar may behave like a frictionless matter which is quite surprising.

scholarly journals Investigation of Magneto-phonon Resonance in Graphene Monolayers

2017 ◽  
Vol 33 (4) ◽  
Author(s):  
Bui Dinh Hoi
Keyword(s):  
Magnetic Field ◽  
Linear Response ◽  
Resonant Scattering ◽  
Linear Response Theory ◽  
Landau Levels ◽  
Effect Of Temperature ◽  
Perpendicular Magnetic Field ◽  
Dirac Fermions ◽  
Deformation Potential ◽  
The Magnetic Field

In this work, utilising the linear response theory we calculate the magneto conductivity (MC) in graphene monolayers, subjected to a static perpendicular magnetic field. The interaction of Dirac fermions with optical phonon via deformation potential is taken into account at high temperature. The dependence of the MC on the magnetic field shows resonant peaks that describe transitions of electrons between Landau levels via the resonant scattering with optical phonons. The effect of temperature on the MC is also obtained and discussed.

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