scholarly journals Spin-singlet quantum Hall states and Jack polynomials with a prescribed symmetry

2012 ◽  
Vol 857 (2) ◽  
pp. 185-206 ◽  
Author(s):  
Benoit Estienne ◽  
B. Andrei Bernevig
Keyword(s):  
Quantum Hall ◽  
Jack Polynomials ◽  
Quantum Hall States ◽  
Spin Singlet ◽  
Hall States

scholarly journals Separation of spin and charge in paired spin-singlet quantum Hall states

2002 ◽  
Vol 65 (4) ◽  
Author(s):  
E. Ardonne ◽  
F. J. M. van Lankvelt ◽  
A. W. W. Ludwig ◽  
K. Schoutens
Keyword(s):  
Quantum Hall ◽  
Quantum Hall States ◽  
Spin Singlet ◽  
Hall States

scholarly journals New Class of Non-Abelian Spin-Singlet Quantum Hall States

1999 ◽  
Vol 82 (25) ◽  
pp. 5096-5099 ◽  
Author(s):  
Eddy Ardonne ◽  
Kareljan Schoutens
Keyword(s):  
Quantum Hall ◽  
New Class ◽  
Quantum Hall States ◽  
Spin Singlet ◽  
Hall States

SPIN-SINGLET LAUGHLIN-HALPERIN TYPE WAVEFUNCTIONS FOR THE QUANTUM HALL STATES

1991 ◽  
Vol 05 (06) ◽  
pp. 471-478 ◽  
Author(s):  
X.C. XIE ◽  
F.C. ZHANG
Keyword(s):  
Spin Polarization ◽  
Quantum Hall ◽  
Numerical Calculations ◽  
Small Systems ◽  
Quantum Hall States ◽  
Spin Singlet ◽  
Hall States

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.

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
Keyword(s):  
Double Layer ◽  
Quantum Hall ◽  
Quantum Hall States ◽  
Spin Singlet ◽  
Hall States

scholarly journals Non-abelian spin-singlet quantum Hall states: wave functions and quasihole state counting

2001 ◽  
Vol 607 (3) ◽  
pp. 549-576 ◽  
Author(s):  
E. Ardonne ◽  
N. Read ◽  
E. Rezayi ◽  
K. Schoutens
Keyword(s):  
Quantum Hall ◽  
Wave Functions ◽  
Quantum Hall States ◽  
Spin Singlet ◽  
Hall States

scholarly journals FRACTIONAL QUANTUM HALL STATES WITH NEGATIVE FLUX: EDGE MODES IN SOME ABELIAN AND NON-ABELIAN CASES

2010 ◽  
Vol 24 (05) ◽  
pp. 549-566 ◽  
Author(s):  
M. V. MILOVANOVIĆ ◽  
TH. JOLICOEUR
Keyword(s):  
Filling Factor ◽  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall States ◽  
Singlet States ◽  
Spin Singlet ◽  
Spin Polarized ◽  
Negative Flux ◽  
Hall States

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.

scholarly journals Lattice symmetry and emergence of antiferromagnetic quantum Hall states

2021 ◽  
Vol 103 (15) ◽  
Author(s):  
Morad Ebrahimkhas ◽  
Mohsen Hafez-Torbati ◽  
Walter Hofstetter
Keyword(s):  
Quantum Hall ◽  
Quantum Hall States ◽  
Lattice Symmetry ◽  
Hall States
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