139 citations · 445 across the 31 of their papers we have counts for
10 papers · 1 filter
Braiding Fibonacci anyons
Ludmil Hadjiivanov, Lachezar S. Georgiev
Fibonacci anyons provide the simplest possible model of non-Abelian fusion rules: [1] x [1] = [0] + [1]. We propose a conformal field theory construction of topological quantum reg…
Towards a universal set of topologically protected gates for quantum computation with Pfaffian qubits
Lachezar S. Georgiev
We review the topological quantum computation scheme of Das Sarma et al. from the perspective of the conformal field theory for the two-dimensional critical Ising model. This schem…
Conformal field theory description of mesoscopic phenomena in the fractional quantum Hall effect
Lachezar S. Georgiev
We give a universal description of the mesoscopic effects occurring in fractional quantum Hall disks due to the Aharonov-Bohm flux threading the system. The analysis is based on th…
A universal conformal field theory approach to the chiral persistent currents in the mesoscopic fractional quantum Hall states
Lachezar S. Georgiev
We propose a general and compact scheme for the computation of the periods and amplitudes of the chiral persistent currents, magnetizations and magnetic susceptibilities in mesosco…
The Diagonal Affine Coset Construction of the Z_k Parafermion Hall States
Lachezar S. Georgiev
We construct the Z_k parafermions as diagonal affine cosets and apply them to the quantum Hall effect. This realization is particularly convenient for the analysis of the Z_k pairi…
The nu=5/2 quantum Hall state revisited: spontaneous breaking of the chiral fermion parity and phase transition between abelian and non-abelian statistics
L. S. Georgiev
We review a recent development in the theoretical understanding of the nu=5/2 quantum Hall plateau and propose a new conformal field theory, slightly different from the Moore-Read…
Parafermion Hall states from coset projections of abelian conformal theories
Andrea Cappelli, Lachezar S. Georgiev, Ivan T. Todorov
The Z_k-parafermion Hall state is an incompressible fluid of k-electron clusters generalizing the Pfaffian state of paired electrons. Extending our earlier analysis of the Pfaffian…
A Unified Conformal Field Theory Description of Paired Quantum Hall States
A. Cappelli, L. S. Georgiev, I. T. Todorov
The wave functions of the Haldane-Rezayi paired Hall state have been previously described by a non-unitary conformal field theory with central charge c=-2. Moreover, a relation wit…
RCFT extensions of W_{1+infinity} in terms of bilocal fields
L. S. Georgiev, I. T. Todorov
The rational conformal field theory (RCFT) extensions of W_{1+infinity} at c=1 are in one-to-one correspondence with 1-dimensional integral lattices L(m). Each extension is associa…
Characters and Partition Function for the Wen-Wu CFT Model of the Haldane-Rezayi Quantum Hall State
L. S. Georgiev, I. T. Todorov
The Wen-Wu c=-2 model describes the d-wave paired singlet factor of the Haldane-Rezayi (quantum Hall) wave function in terms of an SU(2) doublet of dimension 1 fermions. The result…