369 citations · 1.8k across the 51 of their papers we have counts for
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Spin-statistics relation for quantum Hall states
Alberto Nardin, Eddy Ardonne, Leonardo Mazza
We prove a generic spin-statistics relation for the fractional quasiparticles that appear in abelian quantum Hall states on the disk. The proof is based on an efficient way for com…
Zero modes of the Kitaev chain with phase-gradients and longer range couplings
Iman Mahyaeh, Eddy Ardonne
We present an analytical solution for the full spectrum of Kitaev's one-dimensional p-wave superconductor with arbitrary hopping, pairing amplitude and chemical potential in the ca…
Extended Majorana zero modes in a topological superconducting-normal T-junction
Christian Spånslätt, Eddy Ardonne
We investigate the sub gap properties of a three terminal Josephson T-junction composed of topologically superconducting wires connected by a normal metal region. This system natur…
Topological aspects of phase winding junctions in superconducting wires
Christian Spånslätt, Eddy Ardonne, Jan Carl Budich +1
We theoretically investigate Josephson junctions with a phase shift of in various proximity induced one-dimensional superconductor models. One of the salient experimental signa…
Topological invariant for generic 1D time reversal symmetric superconductors in class DIII
Jan Carl Budich, Eddy Ardonne
A one dimensional time reversal symmetric topological superconductor (symmetry class DIII) features a single Kramers pair of Majorana bound states at each of its ends. These hologr…
Equivalent topological invariants for one-dimensional Majorana wires in symmetry class D
Jan Carl Budich, Eddy Ardonne
Topological superconductors in one spatial dimension exhibiting a single Majorana bound state at each end are distinguished from trivial gapped systems by a Z_2 topological invaria…
Domain walls, fusion rules and conformal field theory in the quantum Hall regime
Eddy Ardonne
We provide a simple way to obtain the fusion rules associated with elementary quasi-holes over quantum Hall wave functions, in terms of domain walls. The knowledge of the fusion ru…
Degeneracy of non-abelian quantum Hall states on the torus: domain walls and conformal field theory
Eddy Ardonne, Emil J. Bergholtz, Janik Kailasvuori +1
We analyze the non-abelian Read-Rezayi quantum Hall states on the torus, where it is natural to employ a mapping of the many-body problem onto a one-dimensional lattice model. On t…
Wavefunctions for topological quantum registers
Eddy Ardonne, Kareljan Schoutens
We present explicit wavefunctions for quasi-hole excitations over a variety of non-abelian quantum Hall states: the Read-Rezayi states with k\geq 3 clustering properties and a pair…
Filling the Bose sea: symmetric quantum Hall edge states and affine characters
Eddy Ardonne, Rinat Kedem, Michael Stone
We explore the structure of the bosonic analogues of the -clustered ``parafermion'' quantum Hall states. We show how the many-boson wave functions of -clustered quantum Hall…
Paired and clustered quantum Hall states
K. Schoutens, E. Ardonne, F. J. M. van Lankvelt
We briefly summarize properties of quantum Hall states with a pairing or clustering property. Their study employs a fundamental connection with parafermionic Conformal Field Theori…
Non-Abelian spin-singlet quantum Hall states: wave functions and quasihole state counting
E. Ardonne, N. Read, E. Rezayi +1
We investigate a class of non-Abelian spin-singlet (NASS) quantum Hall phases, proposed previously. The trial ground and quasihole excited states are exact eigenstates of certain k…
Separation of spin and charge in paired spin-singlet quantum Hall states
E. Ardonne, F. J. M. van Lankvelt, A. W. W. Ludwig +1
We propose a series of paired spin-singlet quantum Hall states, which exhibit a separation of spin and charge degrees of freedom. The fundamental excitations over these states, whi…
Non-abelian quantum Hall states - exclusion statistics, K-matrices and duality
E. Ardonne, P. Bouwknegt, K. Schoutens
We study excitations in edge theories for non-abelian quantum Hall states, focussing on the spin polarized states proposed by Read and Rezayi and on the spin singlet states propose…
K-matrices for non-abelian quantum Hall states
E. Ardonne, P. Bouwknegt, S. Guruswamy +1
Two fundamental aspects of so-called non-abelian quantum Hall states (the q-pfaffian states and more general) are a (generalized) pairing of the participating electrons and the non…
New Class of Non-Abelian Spin-Singlet Quantum Hall States
E. Ardonne, K. Schoutens
We present a new class of non-abelian spin-singlet quantum Hall states, generalizing Halperin's abelian spin-singlet states and the Read-Rezayi non-abelian quantum Hall states for…