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A continuous transition between fractional quantum Hall and superfluid states
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A continuous transition between fractional quantum Hall and superfluid states
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We develop a theory of a direct, continuous quantum phase transition between a bosonic Laughlin fractional quantum Hall (FQH) state and a superfluid, generalizing the Mott insulator to superfluid phase diagram of bosons to allow for the breaking of time-reversal symmetry. The direct transition can be protected by a spatial symmetry, and the critical theory is a pair of Dirac fermion fields coupled to an emergent Chern-Simons gauge field. The transition may be achieved in optical traps of ultracold atoms by starting with a $\nu = 1/2$ bosonic Laughlin state and tuning an appropriate periodic potential to change the topology of the composite fermion band structure.
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Cited by 1 Pith paper
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Proliferation transitions from a topological phase in $2+1$ dimensions
A general 2+1d transition theory out of a topological phase, driven by one Abelian anyon, is constructed and shown to depend on a single integer parameter, with p=0 giving gauging.
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