8 papers
Exact gap-ratio results for mixed Wigner surmises of up to 4 eigenvalues
Mikael Fremling
We compute some exact results for the gap-ratio of mixed Wigner surmises for up to four eigenvalues and . The main results concern equal mixtures of the GOE, GUE, and…
Hall Viscosity of Composite Fermions
Songyang Pu, Mikael Fremling, J. K. Jain
Hall viscosity, also known as the Lorentz shear modulus, has been proposed as a topological property of a quantum Hall fluid. Using a recent formulation of the composite fermion th…
The existence of robust edge currents in Sierpinsky Fractals
Mikael Fremling, Michal van Hooft, Cristiane Morais Smith +1
We investigate the Hall conductivity in a Sierpinski carpet, a fractal of Hausdorff dimension , subject to a perpendicular magnetic field. We compu…
An investigation of pre-crystalline order, ruling out Pauli crystals and introducing Pauli anti-crystals
Mikael Fremling, Joost Slingerland
Fluid states of matter can locally exhibit characteristics of the onset of crystalline order. Traditionally this has been theoretically investigated using multipoint correlation fu…
On the modular covariance properties of composite fermions on the torus
Mikael Fremling
In this work we show that the composite fermion construction for the torus geometry is modular covariant. We show that this is the case both before and after projection, and that m…
Search for exact local Hamiltonians for general fractional quantum Hall states
G J Sreejith, Mikael Fremling, Gun Sang Jeon +1
We report on our systematic attempts at finding local interactions for which the lowest-Landau-level projected composite-fermion wave functions are the unique zero energy ground st…