O ct 1 99 3 Half - Integral Spin - Singlet Quantum Hall Effect
نویسندگان
چکیده
We provide numerical evidence that the ground state of a short range interaction model at ν = 1/2 is incompressible and spin-singlet for a wide range of repulsive interactions. Furthermore it is accurately described by a trial wave function studied earlier. For the Coulomb interaction we find that this wave function provides a good description of the lowest lying spin-singlet state, and propose that fractional quantum Hall effect would occur at ν = 1/2 if this state became the global ground state. Some conclusions in an earlier paper are invalidated by the present numerical study of a larger system; these will be indicated.
منابع مشابه
Exact Haldane mapping for all S and super universality in spin chains
The low energy dynamics of the anti-ferromagnetic Heisenberg spin S chain in the semiclassical limit S → ∞ is known to map onto the O(3) nonlinear σ model with a θ term in 1+1 dimension. Guided by the underlying dual symmetry of the spin chain, as well as the recently established topological significance of “dangling edge spins,” we report an exact mapping onto the O(3) model that avoids the co...
متن کاملX iv : h ep - t h / 92 02 02 9 v 1 8 F eb 1 99 2 Spin Singlet Quantum Hall Effect and Nonabelian Landau - Ginzburg Theory
In this paper we present a theory of Singlet Quantum Hall Effect (SQHE). We show that the Halperin-Haldane SQHE wave function can be written in the form of a product of a wave function for charged semions in a magnetic field and a wave function for the Chiral Spin Liquid of neutral spin-1 2 semions. We introduce field-theoretic model in which the electron operators are factorized in terms of ch...
متن کامل1 6 D ec 1 99 6 Invariant structure of the hierarchy theory of fractional quantum Hall states with spin
We describe the invariant structure common to abelian fractional quantum Hall effect systems with spin. It appears in a generalization of the lattice description of the polarized hierarchy that encompasses both partially polarized and unpolarized ground state systems. We formulate, using the spin-charge decomposition, conditions that should be satisfied so that the description is SU(2) invarian...
متن کاملMechanism of half-frequency electric dipole spin resonance in double quantum dots: Effect of nonlinear charge dynamics inside the singlet manifold
متن کامل
Composite Fermions with Spin at Ν = 1/2
—The model of Composite Fermions for describing interacting electrons in two dimensions in the presence of a magnetic field is described. In this model, charged Fermions are combined with an even number of magnetic flux quanta in such a way that the external magnetic field is compensated on the average for half filling of Landau levels and the interaction is incorporated into an effective mass ...
متن کامل