scholarly journals Partition function of the two-dimensional nearest neighbour Ising models for finite lattices in a non-zero magnetic field#

2012 ◽  
Vol 124 (1) ◽  
pp. 105-113
Author(s):  
M VINOTHKUMAR ◽  
G NANDHINI ◽  
M V SANGARANARAYANAN
Keyword(s):  
Magnetic Field ◽  
Partition Function ◽  
Ising Models ◽  
Zero Magnetic Field ◽  
Nearest Neighbour ◽  
Two Dimensional ◽  
Finite Lattices

scholarly journals Partition function of nearest neighbour Ising models: Some new insights

2009 ◽  
Vol 121 (5) ◽  
pp. 595-599 ◽  
Author(s):  
G. Nandhini ◽  
M. V. Sangaranarayanan
Keyword(s):  
Partition Function ◽  
Ising Models ◽  
Nearest Neighbour

Local magnetic field distributions: Two-dimensional Ising models

1984 ◽  
Vol 30 (1) ◽  
pp. 250-258 ◽  
Author(s):  
M. Thomsen ◽  
M. F. Thorpe ◽  
T. C. Choy ◽  
D. Sherrington
Keyword(s):  
Magnetic Field ◽  
Ising Models ◽  
Local Magnetic Field ◽  
Two Dimensional ◽  
Field Distributions

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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