76 citations · 239 across the 20 of their papers we have counts for
19 papers
Hall viscosity and putative quantum Hall states without positive-definite K-matrix
Emanuele Di Salvo, Dirk Schuricht, Joost K. Slingerland +1
We investigate putative quantum Hall effect states, labeled by their K-matrix equal to (1 1 3), by defining them on the torus and computing their Hall viscosity. Such states have b…
Lyapunov exponents in a Sachdev-Ye-Kitaev-type model with population imbalance in the conformal limit and beyond
A. S. Shankar, M. Fremling, S. Plugge +1
The Sachdev-Ye-Kitaev (SYK) model shows chaotic behavior with a maximal Lyapunov exponent. In this paper, we investigate the four-point function of a SYK-type model numerically, wh…
Signatures of Supersymmetry in the Fractional Quantum Hall Effect
Songyang Pu, Ajit C. Balram, Mikael Fremling +2
The Moore-Read state, one of the leading candidates for describing the fractional quantum Hall effect at filling factor , is a paradigmatic -wave superconductor with no…
Parametrization and thermodynamic scaling of pair correlation functions for the Fractional Quantum Hall Effect
Jørgen Fulsebakke, Mikael Fremling, Niall Moran +1
The calculation of pair correlations and density profiles of quasiholes are routine steps in the study of proposed fractional quantum Hall states. Nevertheless, the field has not a…
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…
A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics
Mikael Fremling, Masudul Haque, Lars Fritz
We study a bipartite version of the Sachdev-Ye-Kitaev (SYK) model. We show that the model remains solvable in the limit of large- in the same sense as the original model if the…
Sachdev-Ye-Kitaev type physics in the strained Kitaev honeycomb model
Mikael Fremling, Lars Fritz
In this work, we investigate whether the Kitaev honeycomb model can serve as a starting point to realize the intriguing physics of the Sachdev-Ye-Kitaev (SYK) model. The starting p…
Robustness of chiral edge modes in fractal-like-lattices below two dimensions: A case study
Sonja Fischer, Michal van Hooft, Twan van der Meijden +3
One of the most prominent characteristics of two-dimensional Quantum Hall systems are chiral edge modes. Their existence is a consequence of the bulk-boundary correspondence and th…
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…
Dynamics and level statistics of interacting fermions in the Lowest Landau Level
M. Fremling, Cécile Repellin, Jean-Marie Stéphan +3
We consider the unitary dynamics of interacting fermions in the lowest Landau level, on spherical and toroidal geometries. The dynamics are driven by the interaction Hamiltonian wh…
Berry phase of the composite-fermion Fermi Sea: Effect of Landau-level mixing
Songyang Pu, Mikael Fremling, J. K. Jain
We construct explicit lowest-Landau-level wave functions for the composite-fermion Fermi sea and its low energy excitations following a recently developed approach [Pu, Wu and Jain…
Energy projection and modified Laughlin states
Mikael Fremling, Jørgen Fulsebakke, Niall Moran +1
We develop a method to efficiently calculate trial wave functions for quantum Hall systems which involve projection onto the lowest Landau level. The method essentially replaces lo…
Success and failure of the plasma analogy for Laughlin states on a torus
Mikael Fremling
We investigate the nature of the plasma analogy for the Laughlin wave function on a torus describing the quantum Hall plateau at . We first establish, as expected, t…
Coherent State Wave Functions on the Torus
Mikael Fremling
In the study of the quantum Hall effect there are still many unresolved problems. One of these is how to generate representative wave functions for ground states on other geometrie…
Coherent State Wave Functions on a Torus with a Constant Magnetic Field
Mikael Fremling
We study two alternative definitions of localized states in the lowest Landau level (LLL) on a torus. One definition is to construct localized states, as projection of the coordina…