369 citations · 1.8k across the 51 of their papers we have counts for
24 papers · 1 filter
A bosonic matrix product state description of Read-Rezayi states and its application to quasi-hole spins
Alexander Fagerlund, Eddy Ardonne
We study the Read-Rezayi quantum Hall state by means of a purely bosonic matrix product state formulation, which is described in detail. We calculate the density profiles in…
Spin fractionalization at the edge of quantum Hall fluids induced by bulk quasiparticles
Alexander Fagerlund, Alberto Nardin, Leonardo Mazza +1
We define a measurable spin for the edge of a lowest Landau level and incompressible fractional quantum Hall state in the presence of an Abelian or non-Abelian bulk quasiparticle.…
Study of the phase diagram of the Kitaev-Hubbard chain
Iman Mahyaeh, Eddy Ardonne
We present a detailed study of the phase diagram of the Kitaev-Hubbard chain, that is the Kitaev chain in the presence of a nearest-neighbour density-density interaction, using bot…
Braiding properties of paired spin-singlet and non-abelian hierarchy states
Yoran Tournois, Eddy Ardonne
We study explicit model wave functions describing the fundamental quasiholes in a class of non-abelian fractional quantum Hall states. This class is a family of paired spin-singlet…
Exact results for a clock-type model and some close relatives
Iman Mahyaeh, Eddy Ardonne
In this paper, we generalized the Peschel-Emery line of the interacting transverse field Ising model to a model based on three-state clock variables. Along this line, the model has…
Matrix product state representation of quasielectron wave functions
Jonas A. Kjäll, Eddy Ardonne, Vatsal Dwivedi +2
Matrix product state techniques provide a very efficient way to numerically evaluate certain classes of quantum Hall wave functions that can be written as correlators in two-dimens…
Quantum criticality in many-body parafermion chains
Ville Lahtinen, Teresia Mansson, Eddy Ardonne
We construct local generalizations of 3-state Potts models with exotic critical points. We analytically show that these are described by non-diagonal modular invariant partition fu…
Anyon Chains with Pairing Terms
B. Majidzadeh Garjani, E. Ardonne
In this paper we introduce a one-dimensional model of anyons in which the number of anyons can fluctuate by means of a pairing term. The model can be tuned to a point at…
Realizing all quantum criticalities in symmetry protected cluster models
Ville Lahtinen, Eddy Ardonne
We show that all universality class quantum criticalities emerge when one-dimensional generalized cluster models are perturbed with Ising or Zeeman terms. Each critical p…
On the particle entanglement spectrum of the Laughlin states
B. Majidzadeh Garjani, B. Estienne, E. Ardonne
The study of the entanglement entropy and entanglement spectrum has proven to be very fruitful in identifying topological phases of matter. Typically, one performs numerical studie…
A hierarchy of exactly solvable spin-1/2 chains with so(N)_1 critical points
Ville Lahtinen, Teresia Mansson, Eddy Ardonne
We construct a hierarchy of exactly solvable spin-1/2 chains with so(N)_1 critical points. Our construction is based on the framework of condensate-induced transitions between topo…
Unraveling of the fractional topological phase in one-dimensional flatbands with nontrivial topology
Jan Carl Budich, Eddy Ardonne
We consider a topologically non-trivial flat band structure in one spatial dimension in the presence of nearest and next nearest neighbor Hubbard interaction. The non-interacting b…
Anyonic quantum spin chains: Spin-1 generalizations and topological stability
Charlotte Gils, Eddy Ardonne, Simon Trebst +4
There are many interesting parallels between systems of interacting non-Abelian anyons and quantum magnetism, occuring in ordinary SU(2) quantum magnets. Here we consider theories…
Condensate-induced transitions and critical spin chains
Teresia Mansson, Ville Lahtinen, Juha Suorsa +1
We show that condensate-induced transitions between two-dimensional topological phases provide a general framework to relate one-dimensional spin models at their critical points. W…
One-dimensional itinerant interacting non-Abelian anyons
Didier Poilblanc, Adrian Feiguin, Matthias Troyer +2
We construct models of interacting itinerant non-Abelian anyons moving along one-dimensional chains. We focus on itinerant Ising (Majorana) and Fibonacci anyons, which are, respect…
Spin-singlet Gaffnian wave function for fractional quantum Hall systems
Simon C. Davenport, Eddy Ardonne, Nicolas Regnault +1
We characterize in detail a wave function conceivable in fractional quantum Hall systems where a spin or equivalent degree of freedom is present. This wave function combines the pr…
The Quantum Torus Chain
M. P. Qin, J. M. Leinaas, S. Ryu +3
We introduce a new set of one dimensional quantum lattice models which we refer to as The quantum torus chain. These models have discrete global symmetry, and projective on-site re…
Fractionalization of itinerant anyons in one dimensional chains
Didier Poilblanc, Matthias Troyer, Eddy Ardonne +1
We construct models of interacting itinerant non-Abelian anyons moving along one-dimensional chains, focusing in particular on itinerant Ising anyon chains, and derive effective an…
Integrability in anyonic quantum spin chains via a composite height model
Paata Kakashvili, Eddy Ardonne
Recently, properties of collective states of interacting non-abelian anyons have attracted a considerable attention. We study an extension of the `golden chain model', where two- a…
From Irrational to Non-Unitary: on the Haffnian and Haldane-Rezayi wave functions
Maria Hermanns, Nicolas Regnault, B. Andrei Bernevig +1
We study the Haffnian and Haldane-Rezayi quantum Hall wave functions and their quasihole excitations by means of their `root configurations', and point out a close connection betwe…
Microscopic models of interacting Yang-Lee anyons
Eddy Ardonne, Jan Gukelberger, Andreas W. W. Ludwig +2
Collective states of interacting non-Abelian anyons have recently been studied mostly in the context of certain fractional quantum Hall states, such as the Moore-Read state propose…
Chiral correlators of the Ising conformal field theory
Eddy Ardonne, German Sierra
We derive explicit expressions for the conformal blocks of the Ising conformal field theory, for the correlators of an arbitrary number of primary fields. These results are obtaine…
Collective States of Interacting Anyons, Edge States, and the Nucleation of Topological Liquids
Charlotte Gils, Eddy Ardonne, Simon Trebst +3
Quantum mechanical systems, whose degrees of freedom are so-called su(2)_k anyons, form a bridge between ordinary SU(2) spin systems and systems of interacting non-Abelian anyons.…
Topological Order and Conformal Quantum Critical Points
Eddy Ardonne, Paul Fendley, Eduardo Fradkin
We discuss a certain class of two-dimensional quantum systems which exhibit conventional order and topological order, as well as two-dimensional quantum critical points separating…