TY - JOUR
T1 - The role of analogy in unraveling the fractional quantum Hall effect mystery
AU - Jain, J. K.
N1 - Funding Information:
I am indebted to Jayanth Banavar for encouraging me to write a simple, non-technical account of the theory of the FQHE. Thanks are due to him, John Collins and Alfred Goldhaber for a careful reading of the manuscript and numerous valuable suggestions, and to G.S. Jeon and V.W. Scarola for help with figures. Partial support by the National Science Foundation under grant no. DMR-0240458 is gratefully acknowledged.
PY - 2003/12
Y1 - 2003/12
N2 - The analogy provided by the integral quantum Hall effect (IQHE) that has helped in the understanding of the fractional quantum Hall effect (FQHE) was discussed. The emergence of composite fermions describes the manner in which quantum mechanical phases, in the form of quantized vortices bound to electrons, enter into the physics of the lowest Landau level quantum fluid. The FQHE of electrons is an IQHE of composite fermions. The lowest Landau level quantum fluid is a colossal atom of composite fermions, and the FQHE states are inert atoms containing filled shells.
AB - The analogy provided by the integral quantum Hall effect (IQHE) that has helped in the understanding of the fractional quantum Hall effect (FQHE) was discussed. The emergence of composite fermions describes the manner in which quantum mechanical phases, in the form of quantized vortices bound to electrons, enter into the physics of the lowest Landau level quantum fluid. The FQHE of electrons is an IQHE of composite fermions. The lowest Landau level quantum fluid is a colossal atom of composite fermions, and the FQHE states are inert atoms containing filled shells.
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U2 - 10.1016/j.physe.2003.09.023
DO - 10.1016/j.physe.2003.09.023
M3 - Conference article
AN - SCOPUS:0344926420
SN - 1386-9477
VL - 20
SP - 79
EP - 88
JO - Physica E: Low-Dimensional Systems and Nanostructures
JF - Physica E: Low-Dimensional Systems and Nanostructures
IS - 1-2
T2 - Proceedings of the International Symposium at Quantum Hall Effect
Y2 - 2 July 2003 through 5 July 2003
ER -