Landau levels line widths in potential scattering in the presence of a strong magnetic field

1991 ◽  
Vol 13 (6) ◽  
pp. 741-748 ◽  
Author(s):  
S. Nuzzo ◽  
M. Zarcone
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Potential Scattering ◽  
Landau Levels ◽  
Line Widths

scholarly journals ELECTRON MASS OPERATOR IN A STRONG MAGNETIC FIELD

2002 ◽  
Vol 17 (04) ◽  
pp. 231-235 ◽  
Author(s):  
A. V. KUZNETSOV ◽  
N. V. MIKHEEV ◽  
M. V. OSIPOV
Keyword(s):  
Magnetic Field ◽  
Perturbation Theory ◽  
Strong Magnetic Field ◽  
Virtual Photon ◽  
Strong Field ◽  
Mass Operator ◽  
Polarization Operator ◽  
Landau Levels ◽  
Electron Mass ◽  
Photon Polarization

The electron mass operator in a strong magnetic field is calculated by summation of the leading log contributions in all orders of the perturbation theory. An influence of the strong field on the virtual photon polarization operator is taken into account. The contribution of higher Landau levels of virtual electrons, along with the ground Landau level, is shown to be essential in the leading log approximation.

scholarly journals Electron-Positron Pair Photoproduction in a Strong Magnetic Field Through the Polarization Cascade

2020 ◽  
Vol 65 (3) ◽  
pp. 187
Author(s):  
M. Diachenko ◽  
O. Novak ◽  
R. Kholodov ◽  
A. Fomina
Keyword(s):  
Magnetic Field ◽  
Pair Production ◽  
Strong Magnetic Field ◽  
Single Photon ◽  
Threshold Value ◽  
Pair Creation ◽  
Landau Levels ◽  
Radiation Correction ◽  
Electron Positron ◽  
Electron Positron Pair

The process of the e−e+ pair photoproduction in a strong magnetic field through the polarization cascade (the creation of an e−e+ pair from a single photon and its subsequent annihilation to a single photon) has been considered. The kinematics of the process is analyzed, and the expression for the general amplitude is obtained. A radiation correction to the process of pair creation at the lowest Landau levels by a single photon is found in the case where the energy of this photon is close to the threshold value. A comparison with the process of e−e+ pair production by one photon is made.

scholarly journals DISTRIBUTION OF EQUILIBRIUM EDGE CURRENTS

2003 ◽  
Vol 02 (06) ◽  
pp. 611-617
Author(s):  
M. V. ENTIN ◽  
L. I. MAGARILL ◽  
M. M. MAHMOODIAN
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Current Density ◽  
Landau Levels ◽  
Quantum Limit ◽  
Additional Component ◽  
Edge Current ◽  
2D System ◽  
Quantizing Magnetic Field ◽  
Normal Magnetic Field

The distribution of equilibrium edge current density in 2D system subjected to a strong (quantizing) magnetic field has been studied. The case of half plane in normal magnetic field has been considered. The transition from classical strong magnetic field to ultra-quantum limit has been investigated. We have shown that the edge current density oscillates and decays with distance from the edge. The oscillations have been attributed to the Fermi wavelength of electrons. The additional component of the current smoothly depending on the distance but sensitive to the occupation of Landau levels has been found. The temperature suppression of oscillations has been studied.

scholarly journals Creation of electron–positron pairs at excited Landau levels by neutrino in a strong magnetic field

2014 ◽  
Vol 29 (26) ◽  
pp. 1450136 ◽  
Author(s):  
A. V. Kuznetsov ◽  
D. A. Rumyantsev ◽  
V. N. Savin
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Kerr Black Hole ◽  
Neutrino Energy ◽  
Mean Value ◽  
Landau Levels ◽  
Quantum Processes ◽  
Neutrino Production ◽  
Calculation Technique ◽  
Electron Positron

The process of neutrino production of electron–positron pairs in a magnetic field of arbitrary strength, where electrons and positrons can be created in the states corresponding to excited Landau levels, is analyzed. The mean value of the neutrino energy loss due to the process ν → νe-e+ is calculated. The result can be applied for calculating the efficiency of the electron–positron plasma production by neutrinos in the conditions of the Kerr black hole accretion disk considered by experts as the most possible source of a short cosmological gamma burst. The presented research can also be useful for further development of the calculation technique for an analysis of quantum processes in external active medium, and in part in the conditions of moderately strong magnetic field, when taking account of the ground Landau level appears to be insufficient.

NONLINEAR TRANSPORT OF 2D ELECTRONS IN MAGNETIC FIELD

2009 ◽  
Vol 23 (12n13) ◽  
pp. 2689-2692
Author(s):  
SERGEY VITKALOV ◽  
JING QIAO ZHANG ◽  
A. A. BYKOV ◽  
A. I. TOROPOV
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Inelastic Scattering ◽  
Strong Magnetic Field ◽  
Landau Levels ◽  
Electron Interaction ◽  
Inelastic Electron ◽  
Strong Nonlinearity ◽  
Scattering Rate ◽  
Electron Relaxation

Electric field induced, spectacular reduction of longitudinal resistivity of two dimensional electrons placed in strong magnetic field is studied in broad range of temperatures. The data are in good agreement with theory, considering the strong nonlinearity of the resistivity as result of non-uniform spectral diffusion of 2D electrons induced by the electric field. Comparison with the theory gives inelastic scattering time τin of the 2D electrons. In temperature range T = 2 - 20 K for overlapping Landau levels, the inelastic scattering rate 1/τin is found to be proportional to T2, indicating dominant contribution of the electron-electron interaction to the inelastic electron relaxation. At strong magnetic field, at which Landau levels are well separated, the inelastic scattering rate is proportional to T3 at high temperatures. We suggest the electron-phonon scattering as the dominant mechanism of the inelastic electron relaxation in this regime. At low temperature and separated Landau levels an additional regime of the inelastic electron relaxation is observed: τin ~ T-1.26.

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 LANDAU LEVEL GAP REDUCTION AT ABRUPT EDGES

1994 ◽  
Vol 08 (19) ◽  
pp. 1185-1193 ◽  
Author(s):  
I. BARTOŠ ◽  
B. ROSENSTEIN
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Landau Level ◽  
Landau Levels ◽  
Step Potential ◽  
Local Reduction ◽  
Magnetic Length ◽  
Multiple Step

For an electron localized near a finite rectangular step potential under strong magnetic field we found a profound local reduction of the gap between neighboring Landau levels.1,2 We investigate under what conditions the effect persists when the barrier gets smoother. The conclusion is that to get a substantial gap reduction the barrier gradient has to be larger than ħw c /a L (a L is the magnetic length). The sensitivity of the gap reduction is illustrated using tilted and multiple step barriers and finite stripe configurations.

scholarly journals Di-lepton production from a single photon in strong magnetic fields: vacuum dichroism

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Koichi Hattori ◽  
Hidetoshi Taya ◽  
Shinsuke Yoshida
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Single Photon ◽  
Landau Levels ◽  
Longitudinal Momentum ◽  
Magnetic Field Direction ◽  
Photon Polarization ◽  
Lepton Production ◽  
Strong Magnetic Fields ◽  
The Magnetic Field

Abstract We study di-lepton production from a single photon in the presence of a strong constant magnetic field. By the use of the Ritus-basis formalism, we analytically evaluate the photon-to-di-lepton conversion vertex with fully taking into account the non-perturbative interactions between the produced fermions and the strong magnetic field. We show that the di-lepton spectrum becomes anisotropic with respect to the magnetic-field direction and depends on the photon polarization as a manifestation of the vacuum dichroism in a strong magnetic field. According to the energy conservation in the presence of the Landau quantization, not only the transverse momentum of the produced fermions but also the longitudinal momentum is discretized, and the di-lepton spectrum exhibits spike structures as functions of the incident photon energy and the magnetic field strength. We also show that the di-lepton production is strictly prohibited for massless fermions in the lowest Landau levels as an analogue of the so-called helicity suppression.

Sign in / Sign up

Export Citation Format

Share Document