Ground state of the two-dimensional charged particles in a strong magnetic field and the fractional quantum Hall effect

1984 ◽  
Vol 29 (12) ◽  
pp. 6833-6839 ◽  
Author(s):  
Daijiro Yoshioka
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Ground State ◽  
Quantum Hall ◽  
Charged Particles ◽  
Fractional Quantum Hall Effect ◽  
Two Dimensional ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

CORRELATION AND LOCALIZATION OF TWO-DIMENSIONAL ELECTRONS IN A STRONG MAGNETIC FIELD

1990 ◽  
Vol 04 (05) ◽  
pp. 301-310 ◽  
Author(s):  
D. C. TSUI
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Two Dimensional ◽  
Quantum Liquid ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Integral Quantum

This paper gives a brief review of some recent experiments on the localization-delocalization transition in the integral quantum Hall effect and the new quantum liquid ground states giving rise to the fractional quantum Hall effect.

scholarly journals STATISTICS TRANSMUTATIONS IN TWO-DIMENSIONAL SYSTEMS AND THE FRACTIONAL QUANTUM HALL EFFECT

1994 ◽  
Vol 08 (06) ◽  
pp. 375-380 ◽  
Author(s):  
PIOTR SITKO
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Ground State ◽  
State Energy ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Two Dimensional ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Hartree Fock

Statistics transmutations to superfermions in fractional quantum Hall effect systems are considered in the Hartree-Fock approximation and in the RPA. The Hartree-Fock ground state energy shows that the transmutations are not energetically preferable. Within the RPA it is found that the system exhibits a fractional quantum Hall effect.

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.

scholarly journals WANNIER FUNCTIONS AND FRACTIONAL QUANTUM HALL EFFECT

1995 ◽  
Vol 09 (25) ◽  
pp. 3333-3344 ◽  
Author(s):  
R. FERRARI
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Wannier Functions ◽  
Hartree Fock ◽  
Fock State

We introduce and study the Wannier functions for an electron moving in a plane under the influence of a perpendicular uniform and constant magnetic field. The relevance for the Fractional Quantum Hall Effect is discussed; in particular, it shown that an interesting Hartree–Fock state can be constructed in terms of Wannier functions.

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