109 citations · 342 across the 9 of their papers we have counts for
9 papers
Phase Separation in the Putative Fractional Quantum Hall A phases
Steven H. Simon, Ajit C. Balram
We use several techniques to probe the wave functions proposed to describe the phases by Das, Das, and Mandal [Phys. Rev. Lett. 131, 056202 (2023); Phys. Rev. Lett. 132,…
Comment on "Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength''
Steven H. Simon
Das, Das, and Mandal (PRL 131, 056202, 2023) examine a wavefunction for nu = 5/2 on a sphere including moderate Landau-Level mixing evaluated perturbatively. The wavefunction they…
Conformal field theory approach to parton fractional quantum Hall trial wave functions
Greg J. Henderson, G. J. Sreejith, Steven H. Simon
We show that all lowest Landau level projected and unprojected chiral parton type fractional quantum Hall ground and edge state trial wave functions, which take the form of product…
Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
Steven H. Simon
Certain fractional quantum Hall wavefunctions -- particularly including the Laughlin, Moore-Read, and Read-Rezayi wavefunctions -- have special structure that makes them amenable t…
Thirty Years of Composite Fermions and Beyond
J. K. Jain
This chapter appears in "Fractional Quantum Hall Effects: New Development," edited by B. I. Halperin and J. K. Jain (World Scientific, 2020). The chapter begins with a primer on co…
Phase transitions in three-dimensional topological lattice models with surface anyons
F. J. Burnell, C. W. von Keyserlingk, S. H. Simon
We study the phase diagrams of a family of 3D "Walker-Wang" type lattice models, which are not topologically ordered but have deconfined anyonic excitations confined to their surfa…
Entanglement subspaces, trial wavefunctions, and special Hamiltonians in the fractional quantum Hall effect
T. S. Jackson, N. Read, S. H. Simon
We consider spaces of trial wavefunctions for ground states and edge excitations in the fractional quantum Hall effect that can be obtained in various ways. In one way, functions a…
A Typology for Quantum Hall Liquids
S. A. Parameswaran, S. A. Kivelson, E. H. Rezayi +3
There is a close analogy between the response of a quantum Hall liquid (QHL) to a small change in the electron density and the response of a superconductor to an externally applied…
Resources Required for Topological Quantum Factoring
M. Baraban, N. E. Bonesteel, S. H. Simon
We consider a hypothetical topological quantum computer where the qubits are comprised of either Ising or Fibonacci anyons. For each case, we calculate the time and number of qubit…