Multiple Edge Partition Functions for Fractional Quantum Hall States
نویسنده
چکیده
We consider the multiple edge states of the Laughlin state and the Pfaffian state. These edge states are globally constrained through the operator algebra of conformal field theory in the bulk. We analyze these constraints by introducing an expression of quantum hall state by the chiral vertex operator and obtain the multiple edge partition functions by using the Verlinde formula.
منابع مشابه
Modular Invariants in the Fractional Quantum Hall Effect
We investigate the modular properties of the characters which appear in the partition functions of nonabelian fractional quantum Hall states. We first give the annulus partition function for nonabelian FQH states formed by spinon and holon (spinonholon state). The degrees of freedom of spin are described by the SU(2) Kac-Moody algebra at level k. The partition function and the Hilbert space of ...
متن کاملMagnetic Fields and Fractional Statistics in Boundary Conformal Field Theory
We study conformal field theories describing two massless one-dimensional fields interacting at a single spatial point. The interactions we include are periodic functions of the bosonized fields separately plus a “magnetic” interaction that mixes the two fields. Such models arise in open string theory and dissipative quantum mechanics and perhaps in edge state tunneling in the fractional quanti...
متن کاملEdge states in graphene quantum dots: Fractional quantum Hall effect analogies and differences at zero magnetic field
We investigate the way that the degenerate manifold of midgap edge states in quasicircular graphene quantum dots with zigzag boundaries supports, under free-magnetic-field conditions, strongly correlated manybody behavior analogous to the fractional quantum Hall effect FQHE , familiar from the case of semiconductor heterostructures in high-magnetic fields. Systematic exact-diagonalization EXD n...
متن کاملChiral Operator Product Algebra and Edge Excitations of a Fractional Quantum Hall Droplet*
In this paper we study the spectrum of low-energy edge excitations of a fractional quantum Hall (FQH) droplet. We show how to generate, by conformal field theory (CFT) techniques, the many-electron wave functions for the edge states. And we propose to classify the spectrum of the edge states by the same chiral operator product algebra (OPA) that appears in the CFT description of the ground stat...
متن کاملEdge and bulk components of lowest-Landau-level orbitals, correlated fractional quantum Hall effect incompressible states, and insulating behavior in finite graphene samples
Many-body calculations of the total energy of interacting Dirac electrons in finite graphene samples exhibit joint occurrence of cusps at angular momenta corresponding to fractional fillings characteristic of formation of incompressible gapped correlated states =1 /3, in particular and opening of an insulating energy gap that increases with the magnetic field at the Dirac point, in corresponden...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1997