36 citations · 132 across the 12 of their papers we have counts for
12 papers
Analytical approach for the Mott transition in the Kane-Mele-Hubbard model
Joel Hutchinson, Philipp W. Klein, Karyn Le Hur
The description of interactions in strongly-correlated topological phases of matter remains a challenge. Here, we develop a stochastic functional approach for interacting topologic…
Quantum Entangled Fractional Topology and Curvatures
Joel Hutchinson, Karyn Le Hur
We propose a two-spin quantum-mechanical model with applied magnetic fields acting on the Poincaré-Bloch sphere, to reveal a new class of topological energy bands with Chern number…
Mixed temperature-dependent order parameters in the extended Hubbard model
Joel Hutchinson, Frank Marsiglio
The extended Hubbard model can host s-wave, d-wave and p-wave superconducting phases depending on the values of the on-site and nearest-neighbour interactions. Upon detailed examin…
Unconventional transport in low-density two-dimensional Rashba systems
Joel Hutchinson, Joseph Maciejko
Rashba spin-orbit coupling appears in 2D systems lacking inversion symmetry, and causes the spin-splitting of otherwise degenerate energy bands into an upper and lower helicity ban…
Enhancement of Superconducting due to the Spin-orbit Interaction
Joel Hutchinson, J. E. Hirsch, Frank Marsiglio
We calculate the superconducting for a system which experiences Rashba spin-orbit interactions. Contrary to the usual case where the electron-electron interaction is assumed…
Universality of low-energy Rashba scattering
Joel Hutchinson, Joseph Maciejko
We investigate the scattering of a quantum particle with a two-dimensional (2D) Rashba spin-orbit coupled dispersion off of circularly symmetric potentials. As the energy of the pa…
Rashba scattering in the low-energy limit
Joel Hutchinson, Joseph Maciejko
We study potential scattering in a two-dimensional electron gas with Rashba spin-orbit coupling in the limit that the energy of the scattering electron approaches the bottom of the…
On relations between one-dimensional quantum and two-dimensional classical spin systems
J. Hutchinson, J. P. Keating, F. Mezzadri
We exploit mappings between quantum and classical systems in order to obtain a class of two-dimensional classical systems with critical properties equivalent to those of the class…
Random matrix theory and critical phenomena in quantum spin chains
J. Hutchinson, J. P. Keating, F. Mezzadri
We compute critical properties of a general class of quantum spin chains which are quadratic in the Fermi operators and can be solved exactly under certain symmetry constraints rel…
Conductivity Tensor in a Holographic Quantum Hall Ferromagnet
J. Hutchinson, C. Kristjansen, G. W. Semenoff
The Hall and longitudinal conductivities of a recently studied holographic model of a quantum Hall ferromagnet are computed using the Karch-O'Bannon technique. In addition, the low…
The Spectral Decomposition of the Helium atom two-electron configuration in terms of Hydrogenic orbitals
J. Hutchinson, M. Baker, F. Marsiglio
The two electron configuration in the Helium atom is known to very high precision. Yet, we tend to refer to this configuration as a singlet, where the des…
A generalized topological recursion for arbitrary ramification
Vincent Bouchard, Joel Hutchinson, Prachi Loliencar +2
The Eynard-Orantin topological recursion relies on the geometry of a Riemann surface S and two meromorphic functions x and y on S. To formulate the recursion, one must assume that…