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Hamiltonian theory of the fractional quantum Hall effect: Conserving approximation for incompressible fractions

Hamiltonian theory of the fractional quantum Hall effect: Conserving approximation for incompressible fractions

A microscopic Hamiltonian theory of the fractional quantum Hall effect developed by Shankar and the present author based on the fermionic Chern-Simons approach has recently been quite successful in calculating gaps and finite-tempertature properties in fractional quantum Hall states. Initially proposed as a small-$q$ theory, it was subsequently extended by …