Green-function theory of plasmons in two-dimensional semiconductor structures: Zero magnetic field

1998 ◽  
Vol 57 (20) ◽  
pp. 13020-13032 ◽  
Author(s):  
M. S. Kushwaha ◽  
B. Djafari-Rouhani
Keyword(s):  
Magnetic Field ◽  
Green Function ◽  
Function Theory ◽  
Zero Magnetic Field ◽  
Two Dimensional ◽  
Semiconductor Structures

TWO-DIMENSIONAL ANISOTROPIC HEISENBERG FERROMAGNET IN COEXISTING TRANSVERSE AND LONGITUDINAL MAGNETIC FIELDS

2007 ◽  
Vol 21 (22) ◽  
pp. 3877-3887 ◽  
Author(s):  
AI-YUAN HU ◽  
YUAN CHEN
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
Green Function ◽  
Magnetic Fields ◽  
Transverse Magnetic Field ◽  
Transverse Magnetic ◽  
Heisenberg Ferromagnet ◽  
Two Dimensional ◽  
Temperature Anisotropy ◽  
The Green Function

The two-dimensional spin-1/2 anisotropic Heisenberg ferromagnet is investigated in coexisting transverse and longitudinal magnetic fields. Using the Green function treatment, the magnetization and susceptibility are studied as a function of temperature, anisotropy and magnetic fields. The effects of exchange anisotropy and transverse magnetic field on the magnetic properties of the system are discussed.

scholarly journals Macroscopic quantum tunneling of two coupled particles in the presence of a transverse magnetic field

2013 ◽  
Vol 91 (9) ◽  
pp. 722-727
Author(s):  
Solomon Akaraka Owerre
Keyword(s):  
Magnetic Field ◽  
Effective Action ◽  
Transverse Magnetic ◽  
Harmonic Oscillators ◽  
Zero Magnetic Field ◽  
Two Dimensional ◽  
Ohmic Dissipation ◽  
Linear Coupling ◽  
Dimensional Version ◽  
The One

Two coupled particles of identical mass but opposite charge are studied, with a constant transverse external magnetic field and an external potential, interacting with a bath of harmonic oscillators. We show that the problem cannot be mapped to a one-dimensional problem like the one in Ao (Phys. Rev. Lett. 72, 1898 (1994)), it strictly remains two-dimensional. We calculate the effective action both for the case of linear coupling to the bath and without a linear coupling using imaginary time path integral at finite temperature. At zero temperature we use Leggett’s prescription to derive the effective action. In the limit of zero magnetic field we recover a two-dimensional version of the result derived in Chudnovsky (Phys. Rev. B, 54, 5777 (1996)) for the case of two identical particles. We find that in the limit of strong dissipation, the effective action reduces to a two-dimensional version of the Caldeira–Leggett form in terms of the reduced mass and the magnetic field. The case of ohmic dissipation with the motion of the two particles damped by the ohmic frictional constant η is studied in detail.

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