Abstract
We study the analogy between fractional Quantum Hall Effect and commensurate flux phases on a lattice. We propose a variational approach for the study of these chiral flux phase states. We classify antiferromagnetic chiral flux phase states and evaluate analytically the corresponding expectation values of the t-J Hamiltonian at any value of filling. There are two types of chiral flux phase states: commensurate and fractional. We have found that state with the minimum energy is a commensurate flux phase state for which the value of the flux of the orbital magnetic field equals the filling and the total spin of this system equals zero.
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Kusmartsev, F.V. (1992). Analogy Between Fractional Quantum Hall Effect and Commensurate Flux Phase States on a Lattice. In: Landwehr, G. (eds) High Magnetic Fields in Semiconductor Physics III. Springer Series in Solid-State Sciences, vol 101. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84408-9_39
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DOI: https://doi.org/10.1007/978-3-642-84408-9_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84410-2
Online ISBN: 978-3-642-84408-9
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