Ganpathy Murthy

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This paper reviews progress on the Fractional Quantum Hall Effect (FQHE) based on what we term hamiltonian theories, i.e., theories that proceed from the microscopic electronic hamiltonian to the final solution via a sequence of transformations and approximations, either in the hamil-tonian or path integral approach, as compared to theories based on exact(More)
The hamiltonian theory of the fractional quantum Hall effect (FQHE) is derived and used to answer a large number of qualitative and quantitative questions. After some preliminaries, the complementary approach based on the trial wavefunctions of Laughlin and Jain is reviewed since it inspires the hamiltonian approach. A critical survey of vortices, the(More)
We consider 2+1-dimensional compact U(1) gauge theory at the Lifshitz point with a dynamical critical exponent z=2. As in the usual z=1 theory, monopoles proliferate the vacuum for any value of the coupling, generating a mass scale. The theory of the dilute monopole gas is written in terms of a nonrelativistic sine-Gordon model with two real fields. While(More)
We discuss a family of planar (two-dimensional) systems with the following phase strucure: a Fermi liquid, which goes by a second ordertransition (with non classical exponent even in mean-field) to an intermediate, inhomogeneous state (with nonstandard ordering momentum) , which in turn goes by a first order transition to a state with canonical order(More)
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