TY - JOUR
T1 - A variational ground-state for the vν = 2/3 fractional quantum hall regime
AU - Meir, Yigal
N1 - Funding Information:
The authors acknowledge helpful discussions with Drs. David Holtzman, Stephen DeArmond, and David Westaway. This work was supported by National Institutes of Health grants (NSO1015, NS24054, NS14069, AG02132); the Senator Jacob Javits Center of Excellence in Neuroscience (NS22786) (S.B.P.); the March of Dimes Birth Defects Foundation (W.C.M.); the California State Department of Health Services (87-92057) (M.P.M.); and by gifts from Sherman Fairchild Foundation, RJR-Nabisco Inc. and the Trans-america Foundation.
PY - 1996/5/30
Y1 - 1996/5/30
N2 - A variational ν = 2/3 state, which unifies the sharp edge picture of MacDonald with the soft edge picture of Chang and of Beenakker is presented and studied in detail Using an exact relation between correlation functions of this state and those of the Laughlin ν = 1/3 wavefunction, the correlation functions of the ν = 2/3 state are determined via a classical Monte Carlo calculation, for systems up to 50 electrons. It is found that as a function of the slope of the confining potential there is a sharp transition of the ground state from one description to the other. This transition should be observable in tunneling experiments through quantum dots.
AB - A variational ν = 2/3 state, which unifies the sharp edge picture of MacDonald with the soft edge picture of Chang and of Beenakker is presented and studied in detail Using an exact relation between correlation functions of this state and those of the Laughlin ν = 1/3 wavefunction, the correlation functions of the ν = 2/3 state are determined via a classical Monte Carlo calculation, for systems up to 50 electrons. It is found that as a function of the slope of the confining potential there is a sharp transition of the ground state from one description to the other. This transition should be observable in tunneling experiments through quantum dots.
UR - http://www.scopus.com/inward/record.url?scp=2842535934&partnerID=8YFLogxK
U2 - 10.1142/S0217979296000544
DO - 10.1142/S0217979296000544
M3 - Article
AN - SCOPUS:2842535934
SN - 0217-9792
VL - 10
SP - 1425
EP - 1437
JO - International Journal of Modern Physics B
JF - International Journal of Modern Physics B
IS - 12
ER -