Electron motion and the Hall effect in monocrystalline zinc

1977 ◽  
Vol 55 (7-8) ◽  
pp. 620-628 ◽  
Author(s):  
C. M. Hurd ◽  
J. E. A. Alderson ◽  
S. P. McAlister
Keyword(s):  
Qualitative Analysis ◽  
Hall Effect ◽  
Path Integral ◽  
Basal Plane ◽  
Electron Motion ◽  
Cyclotron Motion ◽  
Transverse Magnetoresistance ◽  
Hall Resistivity ◽  
Magnetic Breakdown

The Hall resistivity ρ21(B, T) observed in Zn when [Formula: see text] and [Formula: see text] has been measured in fields B = 0.1–2.0 T and at temperatures T = 1.7–680 K. Supporting measurements of the transverse magnetoresistance have also been made at 1.7 K. A qualitative analysis of ρ21(B, T) is given separately for the cases when the cyclotron motion is confined to an axial or to the basal plane. In the latter case, the discussion is supported by path integral calculations based upon model orbits chosen to imitate all the geometrical possibilities arising from magnetic breakdown between the monster and needle sheets. The results provide an explanation of the principal features shown by ρ21(B, T).

Temperature dependence of the Hall effect in monocrystalline magnesium

1977 ◽  
Vol 55 (18) ◽  
pp. 1621-1627 ◽  
Author(s):  
S. P. McAlister ◽  
J. E. A. Alderson ◽  
C. M. Hurd
Keyword(s):  
Fermi Surface ◽  
Temperature Dependence ◽  
Hall Effect ◽  
Path Integral ◽  
Basal Plane ◽  
Quantitative Interpretation ◽  
Cyclotron Motion ◽  
Temperature Range ◽  
Hall Resistivity ◽  
Magnetic Breakdown

The Hall resistivity ρ21(B,T) observed when [Formula: see text] and [Formula: see text] has been measured in monocrystals of Mg in the temperature range 1.7–300 K and in an applied flux up to 2 T. A quantitative interpretation when [Formula: see text] is made using a path integral calculation of the magnetoresistive tensor produced by representative orbits on a model Fermi surface. The results explain the origins of the principal features in the behaviour of ρ21(B,T), and show the importance of magnetic breakdown in cyclotron motion in the basal plane.

Intermediate-field effects and electron motion in an axial plane in cadmium

1976 ◽  
Vol 54 (18) ◽  
pp. 1866-1879 ◽  
Author(s):  
J. E. A. Alderson ◽  
C. M. Hurd ◽  
S. P. McAlister
Keyword(s):  
Saddle Point ◽  
Path Integral ◽  
Field Condition ◽  
Basal Plane ◽  
Axial Plane ◽  
Electron Motion ◽  
Hall Resistivity ◽  
Magnetic Breakdown ◽  
Intermediate Field ◽  
Closed Electron

The Hall resistivity ρ21(B,T) observed in Cd when B lies in the basal plane has been measured in fields B = 0.1–2.4 T and at temperatures T = 1.7–560 K. The behaviour of ρ21(B,T) in the intermediate-field condition is analysed first qualitatively in terms of contributions arising from features such as intersheet scattering, magnetic breakdown, open and saddle-point orbits, as well as closed electron and hole orbits. These qualitative conclusions are supported by a path integral calculation of the magnetoresistive tensor that is produced by model orbits chosen to imitate the principal contributors to conduction in an axial plane. The results provide an explanation of the origins of the principal features seen in the behaviour of ρ21(B,T) when [Formula: see text].

scholarly journals Quantum oscillations, magnetic breakdown and thermal Hall effect in Co3Sn2S2

2021 ◽  
Author(s):  
Linchao Ding ◽  
Jahyun Koo ◽  
Changjiang Yi ◽  
Liangcai Xu ◽  
Huakun Zuo ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Oscillations ◽  
Magnetic Breakdown

scholarly journals TOWARD A CONFORMAL FIELD THEORY FOR THE QUANTUM HALL EFFECT

1992 ◽  
Vol 06 (19) ◽  
pp. 3235-3247
Author(s):  
GREG NAGAO
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Order Parameter ◽  
Quantum Hall ◽  
Cyclotron Motion ◽  
Conformal Field ◽  
Large N ◽  
Collective Coordinate

An effective Hamiltonian for the study of the quantum Hall effect is proposed. This Hamiltonian, which includes a "current-current" interaction has the form of a Hamiltonian for a conformal field theory in the large N limit. An order parameter is constructed from which the Hamiltonian may be derived. This order parameter may be viewed as either a collective coordinate for a system of N charged particles in a strong magnetic field; or as a field of spins associated with the cyclotron motion of these particles.

Hall effect and transverse magnetoresistance in a low-dimensional conductor HfTe5

1982 ◽  
Vol 42 (11) ◽  
pp. 773-778 ◽  
Author(s):  
Mitsuru Izumi ◽  
Kunimitsu Uchinokura ◽  
Etsuyuki Matsuura ◽  
Shigeki Harada
Keyword(s):  
Hall Effect ◽  
Transverse Magnetoresistance ◽  
Low Dimensional

Intermediate-field effects and the Hall resistivity in the basal plane of cadmium

1976 ◽  
Vol 14 (2) ◽  
pp. 395-408 ◽  
Author(s):  
C. M. Hurd ◽  
J. E. A. Alderson ◽  
S. P. McAlister
Keyword(s):  
Basal Plane ◽  
Hall Resistivity ◽  
Field Effects ◽  
Intermediate Field

Conduction band of InAs

1968 ◽  
Vol 46 (15) ◽  
pp. 1669-1675 ◽  
Author(s):  
Clarence C. Y. Kwan ◽  
John C. Woolley
Keyword(s):  
Magnetic Fields ◽  
Hall Effect ◽  
Valence Band ◽  
Conduction Band ◽  
Infrared Absorption ◽  
Room Temperature ◽  
Impurity Content ◽  
Temperature Measurements ◽  
Energy Separation ◽  
Transverse Magnetoresistance

Measurements of transverse magnetoresistance and Hall effect have been made at 4.2 °K on various In2Se3-doped and In2Te3-doped InAs polycrystalline specimens with magnetic fields up to 3.2 Wb/m2. An analysis of the results gives values of electron concentrations n0 and n1 and mobilities μ0 and μ1 for both the (000) and [Formula: see text] conduction-band minima. From the values of n0 and n1, the energy separation of the (000) and [Formula: see text] minima E01 of pure InAs has been determined to be 0.70 + 0.02 eV and is found to decrease with increasing impurity content, the rate of reduction being 0.13 ± 0.02 eV/at.% selenium and 0.17 ± 0.03 eV/at.% tellurium. Room-temperature measurements of electroreflectance and infrared absorption have also been made, and these indicate that the variation in E01 is due to the movement of the (000) conduction-band minimum relative to the valence band.

CONNECTIONS BETWEEN THE QUANTUM HALL EFFECT AND CONFORMAL FIELD THEORY

1992 ◽  
Vol 07 (30) ◽  
pp. 2837-2849
Author(s):  
GREG NAGAO ◽  
QIAN NIU ◽  
JOSÉ GAITE
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Effective Field ◽  
Vertex Operators ◽  
Effective Hamiltonian ◽  
Cyclotron Motion ◽  
Conformal Field

The quantum Hall effect (QHE) is studied in the context of a conformal field theory (CFT). Winding state vertex operators for an effective field of N "spins" associated with the cyclotron motion of particles are defined. The effective field of spins may be used to define an effective Hamiltonian. This effective Hamiltonian describes the collective motion of the N particles (with coupling κ0) together with a current-current interaction (of strength κ1). Such a system gives rise to a CFT in the large-N limit when κ0=κ1. The Laughlin wave function is derived from this CFT as an N'-point correlation function of winding state vertex operators.

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