scholarly journals Canted antiferromagnetic and spin-singlet quantum Hall states in double-layer systems

1998 ◽  
Vol 58 (8) ◽  
pp. 4672-4693 ◽  
Author(s):  
S. Das Sarma ◽  
Subir Sachdev ◽  
Lian Zheng
2002 ◽  
Vol 65 (4) ◽  
Author(s):  
E. Ardonne ◽  
F. J. M. van Lankvelt ◽  
A. W. W. Ludwig ◽  
K. Schoutens

1999 ◽  
Vol 82 (25) ◽  
pp. 5096-5099 ◽  
Author(s):  
Eddy Ardonne ◽  
Kareljan Schoutens

1991 ◽  
Vol 05 (06) ◽  
pp. 471-478 ◽  
Author(s):  
X.C. XIE ◽  
F.C. ZHANG

We construct a class of spin-singlet wavefunctions for the filling factors ν=2/(2m±1), where m is an odd integer, and ν=1/2 quantum Hall states, based on Halperin’s generalization of the Laughlin wavefunction to systems without full spin polarization. The properties of the ν=2/(2m±1) states are consistent with the results obtained from the numerical calculations of small systems.


2001 ◽  
Vol 607 (3) ◽  
pp. 549-576 ◽  
Author(s):  
E. Ardonne ◽  
N. Read ◽  
E. Rezayi ◽  
K. Schoutens

2010 ◽  
Vol 24 (05) ◽  
pp. 549-566 ◽  
Author(s):  
M. V. MILOVANOVIĆ ◽  
TH. JOLICOEUR

We investigate the structure of gapless edge modes propagating at the boundary of some fractional quantum Hall states. We show how to deduce explicit trial wavefunctions from the knowledge of the effective theory governing the edge modes. In general, quantum Hall states have many edge states. Here, we discuss the case of fractions having only two such modes. The case of spin-polarized and spin-singlet states at filling fraction ν = 2/5 is considered. We give an explicit description of the decoupled charged and neutral modes. Then we discuss the situation involving negative flux acting on the composite fermions. This happens notably for the filling factor ν = 2/3 which supports two counterpropagating modes. Microscopic wavefunctions for spin-polarized and spin-singlet states at this filling factor are given. Finally, we present an analysis of the edge structure of a non-Abelian state involving also negative flux. Counterpropagating modes involve, in all cases, explicit derivative operators diminishing the angular momentum of the system.


1998 ◽  
Vol 12 (09) ◽  
pp. 327-333 ◽  
Author(s):  
Aiichi Iwazaki

Under quite plausible assumptions on double-layer quantum Hall states with strong interlayer correlation, we show in general framework that coherent tunneling of a single electron between two layers is possible. It yields Josephson effects with unit charge tunneling. The origin is that Halperin states in the quantum Hall states are highly degenerate in electron number difference between two layers in the absence of electrons tunneling.


2021 ◽  
Vol 103 (15) ◽  
Author(s):  
Morad Ebrahimkhas ◽  
Mohsen Hafez-Torbati ◽  
Walter Hofstetter

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