Hamiltonian theories of the fractional quantum Hall effect

By G. Murthy, R. Shankar. 2003

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Quantum Hall physics : Hierarchies and conformal field theory techniques (2016, background): “See, for example, Neder et al. (2006). (38)Another experiment to see this statistical physics with an interferometer by examining phase slips claimed to observe both fractional and non-Abelian statistics (An et al.”
Exact results for perturbative Chern-Simons theory with complex gauge group. (2009, background): “[16, 33] for excellent reviews) and with a wide range of applications, ranging from invariants of knots and 3manifolds [52] on one hand, to condensed matter physics [25, 39] and string theory [35] on the other.”
Non-Abelian Anyons and Topological Quantum Computation (2007, methodology): “tate has a gap, one can hope that the approximation is valid. The composite fermion picture of fractional quantum Hall states has proven to be qualitatively and semi-quantitatively correct in theLLL (Murthy and Shankar, 2003). Systems with ﬁlling fraction ν > 1, can be mapped to ν′ ≤ 1 by keeping”