Spin-singlet wave function for the half-integral quantum Hall effect

1988 ◽  
Vol 60 (10) ◽  
pp. 956-959 ◽  
Author(s):  
F. D. M. Haldane ◽  
E. H. Rezayi
Keyword(s):  
Wave Function ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Spin Singlet ◽  
Integral Quantum

scholarly journals Spin Singlet Quantum Hall Effect and Nonabelian Landau-Ginzburg Theory

1992 ◽  
Vol 06 (05n06) ◽  
pp. 765-788 ◽  
Author(s):  
Alexander Balatsky
Keyword(s):  
Wave Function ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Simons Theory ◽  
Gauge Potential ◽  
Theoretic Model ◽  
Spin Correlations ◽  
Spin Singlet ◽  
Chern Simons

In this paper we present a theory of Singlet Quantum Hall Effect (SQHE). We show that the Halperin-Haldane SQHE wave function can be written in the form of a product of a wave function for charged semions in a magnetic field and a wave function for the Chiral Spin Liquid of neutral spin-½ semions. We introduce field-theoretic model in which the electron operators are factorized in terms of charged spinless semions (holons) and neutral spin-½ semions (spinons). Broken time reversal symmetry and short ranged spin correlations lead to SU(2)k=1 Chern-Simons term in Landau-Ginzburg action for SQHE phase. We construct appropriate coherent states for SQHE phase and show the existence of SU(2) valued gauge potential. This potential appears as a result of “spin rigidity” of the ground state against any displacements of nodes of wave function from positions of the particles and reflects the nontrivial monodromy in the presence of these displacements. We argue that topological structure of SU(2)k=1 Chern-Simons theory unambiguously dictates semion statistics of spinons.

Modulation doping and observation of the integral quantum Hall effect in PbTe/Pb1−xEuxTe multiquantum wells

1993 ◽  
Vol 63 (21) ◽  
pp. 2908-2910 ◽  
Author(s):  
G. Springholz ◽  
G. Ihninger ◽  
G. Bauer ◽  
M. M. Olver ◽  
J. Z. Pastalan ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Modulation Doping ◽  
Integral Quantum

scholarly journals A non-Abelian parton state for the $ν=2+3/8$ fractional quantum Hall effect

2021 ◽  
Vol 10 (4) ◽  
Author(s):  
Ajit Coimbatore Balram
Keyword(s):  
Wave Function ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Ground State ◽  
Topological Structure ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

Fascinating structures have arisen from the study of the fractional quantum Hall effect (FQHE) at the even denominator fraction of 5/25/2. We consider the FQHE at another even denominator fraction, namely \nu=2+3/8ν=2+3/8, where a well-developed and quantized Hall plateau has been observed in experiments. We examine the non-Abelian state described by the ``\bar{3}\bar{2}^{2}1^{4}3‾2‾214" parton wave function and numerically demonstrate it to be a feasible candidate for the ground state at \nu=2+3/8ν=2+3/8. We make predictions for experimentally measurable properties of the \bar{3}\bar{2}^{2}1^{4}3‾2‾214 state that can reveal its underlying topological structure.

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