Edge-mode velocities and thermal coherence of quantum Hall interferometers (2009)
Hu, Zi-Xiang, Rezayi, E. H., Wan, Xin, Yang, Kun
We present comprehensive results on the edge-mode velocities in a quantum Hall droplet with realistic interaction and confinement at various filling fractions. We demonstrate that the charge velocity...
S3 Quantum Hall Wavefunctions (2009)
Simon, Steven H., Rezayi, E. H., Regnault, N.
We construct a family of quantum Hall Hamiltonians whose ground states, at least for small system sizes, give correlators of the S3 conformal field theories. The ground states are considered as trial...
Quasiparticle tunneling in the Moore-Read fractional quantum Hall State (2009)
Chen, Hua, Hu, Zi-Xiang, Yang, Kun, Rezayi, E. H., Wan, Xin
In fractional quantum Hall systems, quasiparticles of fractional charge can tunnel between the edges at a quantum point contact. Such tunneling (or backscattering) processes contribute to charge...
Rodriguez, J. P., Rezayi, E. H.
A Heisenberg model over the square lattice recently introduced by Si and Abrahams to describe local-moment magnetism in the new class of Fe-As high-Tc superconductors is analyzed in the classical...
Ground state and edge excitations of quantum Hall liquid at filling factor 2/3 (2008)
Hu, Zi-Xiang, Chen, Hua, Yang, Kun, Rezayi, E. H., Wan, Xin
We present a numerical study of fractional quantum Hall liquid at Landau level filling factor $\nu=2/3$ in a microscopic model including long-range Coulomb interaction and edge confining potential,...
Magnetization and Spin Excitations of Non-Abelian Quantum Hall States (2008)
Significant insights into non-Abelian quantum Hall states were obtained from studying special multi-particle interaction Hamiltonians, whose unique ground states are the Moore-Read and Read-Rezayi...
Wan, Xin, Hu, Zi-Xiang, Rezayi, E. H., Yang, Kun
We present a comprehensive numerical study of a microscopic model of the fractional quantum Hall system at filling fraction $\nu = 5/2$, based on the disc geometry. Our model includes Coulomb...
Bipartite entanglement entropy in fractional quantum Hall states (2007)
Zozulya, O. S., Haque, M., Schoutens, K., Rezayi, E. H.
We present a detailed analysis of bipartite entanglement entropies in fractional quantum Hall (FQH) states, considering both abelian (Laughlin) and non-abelian (Moore-Read) states. We derive upper...
Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime (2007)
Simon, Steven H., Rezayi, E. H., Cooper, Nigel R.
In fractional quantum Hall physics, the Hilbert space is projected to a single Landau level and the entire Hamiltonian consists of just the projected inter-electron interaction. Haldane's...
Wan, Xin, Yang, Kun, Rezayi, E. H.
We study the ground state and low-energy excitations of fractional quantum Hall systems on a disk at filling fraction $\nu = 5/2$, with Coulomb interaction and background confining potential. We find...
We present results of extensive numerical calculations on the ground state of electrons in the first excited (n=1) Landau level with Coulomb interactions, and including non-zero thickness effects,...
A nu=2/5 Paired Wavefunction (2006)
Simon, Steven H., Rezayi, E. H., Cooper, N. R., Berdnikov, I.
We construct a wavefunction, generalizing the well known Moore-Read Pfaffian, that describes spinless electrons at filling fraction nu=2/5 (or bosons at filling fraction nu=2/3) as the ground state...
Generalized Quantum Hall Projection Hamiltonians (2006)
Simon, Steven H., Rezayi, E. H., Cooper, N. R.
Certain well known quantum Hall states -- including the Laughlin states, the Moore-Read Pfaffian, and the Read-Rezayi Parafermion states -- can be defined as the unique lowest degree symmetric...
We study the groundstates of weakly interacting atomic Bose gases under conditions of rapid rotation. We present the results of large-scale exact diagonalisation studies on a periodic geometry (a...
Incompressible liquid state of rapidly-rotating bosons at filling factor 3/2 (2005)
Rezayi, E. H., Read, N., Cooper, N. R.
Bosons in the lowest Landau level, such as rapidly-rotating cold trapped atoms, are investigated numerically in the specially interesting case in which the filling factor (ratio of particle number to...
Vortex Lattices in Rotating Atomic Bose Gases with Dipolar Interactions (2005)
Cooper, N. R., Rezayi, E. H., Simon, S. H.
We show that dipolar interactions have dramatic effects on the groundstates of rotating atomic Bose gases in the weak interaction limit. With increasing dipolar interaction (relative to the net...
Mobility gap in fractional quantum Hall liquids: Effects of disorder and layer thickness (2005)
Wan, Xin, Sheng, D. N., Rezayi, E. H., Yang, Kun, Bhatt, R. N., Haldane, F. D. M.
We study the behavior of two-dimensional electron gas in the fractional quantum Hall regime in the presence of finite layer thickness and correlated disordered potential. Generalizing the Chern...
Universality of the edge-tunneling exponent of fractional quantum Hall liquids. (2005)
Wan, X., Evers, F., Rezayi, E.H.
Physical Review Letters, 94(2005) S.166804/1-4
Mobility gap in fractional quantum Hall liquids:Effects of disorder and layer thickness. (2005)
Wan, X., Sheng, D.N., Rezayi, E.H., Yang, K., Bhatt, R.N., Haldane, F.D.M.
Physical Review B, 72(2005) S.075325/1-12
Universality of the edge tunneling exponent of fractional quantum Hall liquids (2004)
Wan, Xin, Evers, F., Rezayi, E. H.
Recent calculations of the edge tunneling exponents in quantum Hall states appear to contradict their topological nature. We revisit this issue and find no fundamental discrepancies. In a microscopic...
Sheng, D. N., Wan, Xin, Rezayi, E. H., Yang, Kun, Bhatt, R. N., Haldane, F. D. M.
We study the nu=1/3 quantum Hall state in presence of the random disorder. We calculate the topologically invariant Chern number, which is the only quantity known at present to unambiguously...
Edge reconstruction in the fractional quantum Hall regime (2003)
Wan, Xin, Rezayi, E. H., Yang, Kun
The interplay of electron-electron interaction and confining potential can lead to the reconstruction of fractional quantum Hall edges. We have performed exact diagonalization studies on microscopic...
Rezayi, E. H., Jungwirth, T., MacDonald, A. H., Haldane, F. D. M.
Opposite spin Landau levels in a quantum well can be brought into coincidence by tilting the magnetic field away from normal orientation. We demonstrate that the magnetotransport anomaly at integer...
Coexistence of Composite-Bosons and Composite-Fermions in nu=1/2 + 1/2 Quantum Hall Bilayers (2003)
Simon, Steven H., Rezayi, E. H., Milovanovic, Milica
In bilayer quantum Hall systems at filling fractions near nu=1/2+1/2, as the spacing d between the layers is continuously decreased, intra-layer correlations must be replaced by inter-layer...
Scarola, V. W., Jain, J. K., Rezayi, E. H.
We report on our theoretical investigations that point to the possibility of a fractional quantum Hall effect with partial spin polarization at $\nu=3/8$. The physics of the incompressible state...
Reconstruction of Fractional Quantum Hall Edges (2001)
Wan, Xin, Yang, Kun, Rezayi, E. H.
We study the interplay of interaction, confining potential and effects of finite temperature at the edge of a quantum Hall liquid. Our exact diagonalization calculation indicates that edge...
Wigner Crystals in the lowest Landau level at low filling factors (2001)
Yang, Kun, Haldane, F. D. M., Rezayi, E. H.
We report on results of finite-size numerical studies of partially filled lowest Landau level at low electron filling factors. We find convincing evidence suggesting that electrons form Wigner...
Haldane, F. D. M., Rezayi, E H., Yang, Kun
We report on results of systematic numerical studies of two-dimensional electron gas systems subject to a perpendicular magnetic field, with a high Landau level partially filled by electrons. Our...
Rezayi, E. H., Haldane, F. D. M.
We consider the two lowest Landau levels at half filling. In the higher Landau level (nu =5/2), we find a first order phase transition separating a compressible striped phase from a paired quantum...
Charge Density Wave Ordering in Half Filled High Landau Levels (1999)
Rezayi, E. H., Haldane, F. D. M., Yang, Kun
We report on numerical studies of two-dimensional electron systems in the presence of a perpendicular magnetic field, with a high Landau level index (N > 1) half filled by electrons. Strong and sharp...
Coulomb and Hard Core Skyrmion Tails (1998)
Quantum Hall skyrmions are quantized solitons of a ferromagnetic O(3) sigma-model. The reference, classical, solutions depend upon the interaction between the electrons and exhibit completely...
Rezayi, E. H., Haldane, F. D. M.
We study the Laughlin wave function on the cylinder. We find it only describes an incompressible fluid when the two lengths of the cylinder are comparable. As the radius is made smaller at fixed...