A continuous transition between fractional quantum Hall and superfluid states

Abstract

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.

5+2 pages, 2 figures

References in corpus (8)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Fractional Quantum Hall Effect in Optical Lattices
• Optical Flux Lattices for Ultracold Atomic Gases
• Composite Fermion Theory for Bosonic Atoms in Optical Lattices
• Universal Signatures of Fractionalized Quantum Critical Points
• Symmetry protected fractional Chern insulators and fractional topological insulators
• Fractional Chern Insulators from the nth Root of Bandstructure

Cited by in corpus (72)

• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Deconfined quantum critical points: symmetries and dualities
• Particle-Vortex Duality from 3d Bosonization
• Comments on Global Symmetries, Anomalies, and Duality in (2+1)d
• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• A Web of 2d Dualities: ${\mathbf{Z}}_2$ Gauge Fields and Arf Invariants
• Composite Fermi Liquid at Zero Magnetic Field in Twisted MoTe${}_2$
• Duality between $(2+1)d$ Quantum Critical Points
• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Thirty Years of Composite Fermions and Beyond
• Dual Boundary Conditions in 3d SCFT's
• Zero-field composite Fermi liquid in twisted semiconductor bilayers
• Parton construction of a wave function in the anti-Pfaffian phase
• Bosonization and Mirror Symmetry
• A Symmetry Breaking Scenario for QCD${}_3$
• More Abelian Dualities in 2+1 Dimensions
• Geometry of Fractional Quantum Hall Fluids
• Three-dimensional dualities with bosons and fermions
• Duality and bosonization of (2+1)d Majorana fermions
• Exact Boson-Fermion Duality on a 3D Euclidean Lattice
• Symmetry and duality in bosonization of two-dimensional Dirac fermions
• Enhanced thermal Hall effect in the square-lattice Néel state
• Doping the chiral spin liquid -- topological superconductor or chiral metal?
• Continuous Preparation of a Fractional Chern Insulator
• Phase transitions out of quantum Hall states in moiré materials
• Non-Abelian 3d Bosonization and Quantum Hall States
• Phases of $\mathcal{N}=1$ Theories in 2+1 Dimensions
• Emergent Multi-flavor QED3 at the Plateau Transition between Fractional Chern Insulators: Applications to graphene heterostructures
• Field-induced QCD${}_3$-Chern-Simons quantum criticalities in Kitaev materials
• Dualities and Phases of 3D N=1 SQCD
• ${\mathbb{Z}}_n$ superconductivity of composite bosons and the $7/3$ fractional quantum Hall effect
• $\mathcal{N}=1$ dualities in 2+1 dimensions
• Intertwined fractional quantum anomalous Hall states and charge density waves
• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• A series of (2+1)d Stable Self-Dual Interacting Conformal Field Theories
• Landau-Ginzburg Theories of Non-Abelian Quantum Hall States from Non-Abelian Bosonization
• $3d$ fermion-boson map with imaginary chemical potential
• Metal-Insulator Transition with Charge Fractionalization
• The fermion-boson map for large d
• Antiferromagnetic magnons from fractionalized excitations
• Deconfined criticalities and dualities between chiral spin liquid, topological superconductor and charge density wave Chern insulator
• Deconfined Metal-Insulator Transitions in Quantum Hall Bilayers
• A new series of 3D CFTs with $\mathrm{Sp}(N)$ global symmetry on fuzzy sphere
• Charting the phase diagram of QCD${}_3$
• Growing Extended Laughlin States in a Quantum Gas Microscope: A Patchwork Construction
• Emergent QCD${}_3$ Quantum Phase Transitions of Fractional Chern Insulators
• $QC{D}_3$ Dualities and the F-Theorem
• Evidence for 3d bosonization from monopole operators
• Variational identification of a fractional Chern insulator in an extended Bose-Hubbard model
• Duality Web on a 3D Euclidean Lattice and Manifestation of Hidden Symmetries
• Bipartite Fluctuations of Critical Fermi Surfaces
• Symmetry-breaking effects of instantons in parton gauge theories
• Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states
• Continuous transition between Ising magnetic order and a chiral spin liquid
• Corner Charge Fluctuations and Many-Body Quantum Geometry
• Phase transitions of bosonic fractional quantum Hall effect in topological flat bands
• Critical Majorana fermion at a topological quantum Hall bilayer transition
• Multi-critical point and unified description of broken-symmetry phases in spin-1/2 anti-ferromagnets on a square lattice
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Scaling and Diffusion of Dirac Composite Fermions
• Universal conductivity at a 2d superconductor-insulator transition: the effects of quenched disorder and Coulomb interaction
• Interaction-driven plateau transition between integer and fractional Chern Insulators
• Pathways from a chiral superconductor to a composite Fermi liquid
• Topological pairing of composite fermions via criticality
• Almost Optimal Local Well-Posedness of the Chern-Simons-Dirac System in the Coulomb Gauge
• Proliferation transitions from a topological phase in $2+1$ dimensions
• Fermionic skyrmions and bosonization for a Gross-Neveu transition
• Disclinations, dislocations, and emanant flux at Dirac criticality
• Self-duality protected multi-criticality in deconfined quantum phase transitions
• Critical theories connecting gapped phases with ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ symmetry from the duality web
• Well-posedness in a critical space of Chern-Simons-Dirac system in the Lorenz gauge
• Viewpoint: duality for fermionic vortices