scholarly journals Experimental study of two-dimensional quantum Wigner solid in zero magnetic field

2014 ◽  
Author(s):  
Jian Huang ◽  
L. N. Pfeiffer ◽  
K. W. West
Keyword(s):  
Magnetic Field ◽  
Experimental Study ◽  
Zero Magnetic Field ◽  
Two Dimensional ◽  
Wigner Solid

MICROWAVE RESONANCE STUDY OF MELTING IN HIGH MAGNETIC FIELD WIGNER SOLID

2007 ◽  
Vol 21 (08n09) ◽  
pp. 1379-1385 ◽  
Author(s):  
YONG P. CHEN ◽  
G. SAMBANDAMURTHY ◽  
L. W. ENGEL ◽  
D. C. TSUI ◽  
L. N. PFEIFFER ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Quantum Mechanics ◽  
Melting Temperature ◽  
High Magnetic Field ◽  
Two Dimensional ◽  
Electron Systems ◽  
Dimensional Electron ◽  
Microwave Resonance ◽  
Wigner Solid ◽  
Larger Sample

Wigner solids in two-dimensional electron systems in high magnetic field B exhibit a striking, microwave or rf resonance, that is understood as a pinning mode. The temperature, Tm, above which the resonance is absent, is interpreted as the melting temperature of the solid. Studies of Tm for many B and many sample densities n show that Tm is a function of the Landau level filling ν alone for a given sample. This indicates that quantum mechanics figures importantly in the melting. Tm also appears to be increased by larger sample disorder.

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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