Continuous transition between fractional quantum Hall and superfluid states

2012/01/20 by Maissam Barkeshli, John McGreevy · 2 citations
Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Composite fermion #Condensed matter physics #Electron #Fractional quantum Hall effect #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum phase transition #Quantum phases #Quantum spin Hall effect #Superfluidity #Symmetry breaking #Topological Materials and Phenomena #cond-mat.quant-gas #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.89.235116

published as Phys. Rev. B 89, 235116 (2014) · 5+2 pages, 2 figures

arxiv created 2012/01/20 · openalex publication_date 2014/06/13 · arxiv updated 2014/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We develop a theory of a direct, continuous quantum phase transition between a bosonic Laughlin fractional quantum Hall 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 \ensuremathν=1/2 bosonic Laughlin state and tuning an appropriate periodic potential to change the topology of the composite fermion band structure.

Citations

• Quantum field theory and the Jones polynomial
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Experimental Realization of Strong Effective Magnetic Fields in an Optical Lattice
• Topological Disorder Operators in Three-Dimensional Conformal Field Theory
• THEORY OF THE EDGE STATES IN FRACTIONAL QUANTUM HALL EFFECTS
• Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
• Fractional Quantum Hall States of Atoms in Optical Lattices
• Topologically massive gauge theories

Cited by

• Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model
• Paired Parton Trial States for the Superfluid-Fractional Chern Insulator Transition

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• On a New Universal Class of Phase Transitions and Quantum Hall Effect
• On the stability of Laughlin's fractional quantum Hall phase