Eddy Ardonne

Spin-statistics relation for quantum Hall states,
A. Nardin, E. Ardonne, L. Mazza,
Phys. Rev. B 108, L041105 (2023), Editors' Suggestion; pdf; arXiv:2211.07788.
Sensitivity of non-Hermitian systems,
E. Edvardsson, E. Ardonne,
Phys. Rev. B 106, 115107 (2022); pdf; arXiv:2206.08976.
Classification of Metaplectic Fusion Categories,
E. Ardonne, P.E. Finch, M. Titsworth,
Symmetry 13, 2102 (2021); pdf; arXiv:1608.03762.
Quantum criticality in many-body parafermion chains,
V. Lahtinen, T. Månsson, E. Ardonne,
SciPost Phys. Core 4, 014 (2021); pdf; arXiv:1709.04259.
Study of the phase diagram of the Kitaev-Hubbard chain,
I. Mahyaeh, E. Ardonne,
Phys. Rev. B 101, 085125 (2020); pdf; arXiv:1911.03156.
Braiding properties of paired spin-singlet and non-abelian hierarchy states,
Y. Tournois, E. Ardonne,
J. Phys. A 53, 055402 (2020); pdf; arXiv:1906.01919.
Exact results for a Z_3 clock-type model and some close relatives,
I. Mahyaeh, E. Ardonne,
Phys. Rev. B 98, 245104 (2018); pdf; arXiv:1804.03991.
Matrix product state representation of quasielectron wave functions,
J.A. Kjäll, E. Ardonne, V. Dwivedi, M. Hermanns, T.H. Hansson,
J. Stat. Mech. 053101 (2018); pdf; arXiv:1711.01211.
Zero modes of the Kitaev chain with phase-gradients and longer range couplings,
I. Mahyaeh, E. Ardonne,
J. Phys. Commun. 2, 045010 (2018); pdf; arXiv:1709.00959.
Anyon chains with pairing terms,
B. Majidzadeh Garjani, E. Ardonne,
J. Phys. A 50, 135201 (2017); pdf; arXiv:1608.04927.
Extended Majorana zero modes in a topological superconducting-normal T-junction,
C. Spånslätt, E. Ardonne,
J. Phys. C 29, 105602 (2017); pdf; arXiv:1606.06920.
Classification of Metaplectic Modular Categories,
E. Ardonne, M. Cheng, E.C. Rowell, Z. Wang,
J. Algebra 466, 141 (2016); pdf; arXiv:1601.05460.
Realizing all so(n)_1 quantum criticalities in symmetry protected cluster models,
V. Lahtinen, E. Ardonne,
Phys. Rev. Lett. 115, 237203 (2015); pdf; arXiv:1504.07044.
On the particle entanglement spectrum for the Laughlin states,
B. Majidzadeh Garjani, B. Estienne, E. Ardonne,
J. Phys. A 48, 285205 (2015), Publishers's pick; pdf; arXiv:1501.04016.
Topological aspects of Josephson π-junctions in superconducting wires,
C. Spånslätt, E. Ardonne, J.C. Budich, T.H. Hansson,
J. Phys. C 27, 405701 (2015); pdf; arXiv:1501.03413.
A hierarchy of exactly solvable spin-1/2 chains with so(N)_1 critical points,
V. Lahtinen, T. Månsson, E. Ardonne,
Phys. Rev. B 89, 014409 (2014), Editors' Suggestion; pdf; arXiv:1310.1876.
Topological invariant for generic 1D time reversal symmetric superconductors in class DIII,
J.C. Budich, E. Ardonne,
Phys. Rev. B 88, 134523 (2013); pdf; arXiv:1308.1256.
Equivalent topological invariants for one-dimensional Majorana wires in symmetry class D,
J.C. Budich, E. Ardonne,
Phys. Rev. B 88, 075419 (2013); pdf; arXiv:1306.4459.
Unraveling of the fractional topological phase in one-dimensional flatbands with nontrivial topology,
J.C. Budich, E. Ardonne,
Phys. Rev. B 88, 035139 (2013); pdf; arXiv:1304.4366.
Anyonic quantum spin chains: Spin-1 generalizations and topological stability,
C. Gils, E. Ardonne, S. Trebst, D.A. Huse, A.W.W. Ludwig, M.Troyer, Z.Wang,
Phys. Rev. B 87, 235120 (2013), Editors' Suggestion; pdf; arXiv:1303.4290.
Condensate-induced transitions and critical spin chains,
T. Månsson, V. Lahtinen, J. Suorsa, E. Ardonne,
Phys. Rev. B 88, 041403(R) (2013); pdf; arXiv:1212.0351.
Spin-singlet Gaffnian wave function for fractional quantum Hall systems,
S.C. Davenport, E. Ardonne, N. Regnault, S.H. Simon,
Phys. Rev. B 87, 045310 (2013); pdf; arXiv:1210.8143.
One-dimensional itinerant interacting non-Abelian anyons,
D. Poilblanc, A. Feiguin, M. Troyer, E. Ardonne, P. Bonderson,
Phys. Rev. B 87, 085106 (2013); pdf; arXiv:1210.5605.
Local height probabilities in a composite Andrews-Baxter-Forrester model,
J. Nissinen, E. Ardonne,
J. Phys. A 45, 435001 (2012); pdf; arXiv:1206.0649.
Quantum torus chain,
M. P. Qin, J. M. Leinaas, S. Ryu, E. Ardonne, T. Xiang, D.-H. Lee,
Phys. Rev. B 86, 134430 (2012), Editors' Suggestion; pdf; arXiv:1205.1464.
Fractionalization of itinerant anyons in one dimensional chains,
D. Poilblanc, M. Troyer, E. Ardonne, P. Bonderson,
Phys. Rev. Lett. 108, 207201 (2012); pdf; arXiv:1112.5950.
Integrability in anyonic quantum spin chains via a composite height model,
P. Kakashvili, E. Ardonne,
Phys. Rev. B 85, 115116 (2012); pdf; arXiv:1110.0719.
The structure of spinful quantum Hall states: a squeezing perspective,
E. Ardonne, N. Regnault,
Phys. Rev. B 84, 205134 (2011); pdf; arXiv:1107.2232; link to the mathematica files.
From Irrational to Non-Unitary: on the Haffnian and Haldane-Rezayi wave functions,
M. Hermanns, N. Regnault, B.A. Bernevig, E. Ardonne,
Phys. Rev. B 83, 241302(R) (2011); pdf; arXiv:1101.4978.
Microscopic models of interacting Yang-Lee anyons,
E. Ardonne, J. Gukelberger, A.W.W. Ludwig, S. Trebst, M. Troyer,
New J. Phys. 13, 045006 (2011); pdf; arXiv:1012.1080.
Chiral correlators of the Ising conformal field theory,
E. Ardonne, G. Sierra,
J. Phys. A 43, 505402 (2010), Highlights of 2010, IOPSelect; pdf; arXiv:1008.2863.
Clebsch-Gordan and 6j-coefficients for rank two quantum groups,
E. Ardonne and J.K. Slingerland,
J. Phys. A 43, 395205 (2010); pdf; arXiv:1004.5456; link to the Mathematica notebooks with the q-CG and q-6j coefficients.
Collective States of Interacting Anyons, Edge States, and the Nucleation of Topological Liquids,
C. Gils, E. Ardonne, S. Trebst, A.W.W. Ludwig, M. Troyer, Z. Wang,
Phys. Rev. Lett. 103, 070401 (2009); pdf, auxiliary material (pdf); arXiv:0810.2277.
Domain walls, fusion rules and conformal field theory in the quantum Hall regime,
E. Ardonne,
Phys. Rev. Lett. 102, 180401 (2009); pdf; arXiv:0809.0389.
Degeneracy of non-abelian quantum Hall states on the torus: domain walls and conformal field theory,
E. Ardonne, E.J. Bergholtz, J. Kailasvuori, E. Wikberg,
J. Stat. Mech. (2008) P04016; pdf; arXiv:0802.0675.
Collective states of interacting Fibonacci anyons,
S. Trebst, E. Ardonne, A. Feiguin, D.A. Huse, A.W.W. Ludwig, M. Troyer,
Phys. Rev. Lett. 101, 050401 (2008); pdf; arXiv:0801.4602.
Non-Abelian statistics in the interference noise of the Moore-Read quantum Hall state,
E. Ardonne, E.A. Kim,
J. Stat. Mech. (2008) L04001; pdf; arXiv:0705.2902.
Wavefunctions for quantum registers,
E. Ardonne, K. Schoutens,
Ann. Phys. 322, 201 (2007); pdf; cond-mat/0606217, [see press release].
Fusion products of Kirillov-Reshetikhin modules and fermionic multiplicity formulas,
E. Ardonne, R. Kedem,
J. Algebra 308, 270 (2007); pdf; math.RT/0602177.
Fusion products, Kostka polynomials, and fermionic characters of su(r+1)_k,
E. Ardonne, R. Kedem, M. Stone,
J. Phys. A 38, 9183 (2005); pdf; math-ph/0506071.
Fermionic characters of arbitrary highest-weight integrable sl_r+1-modules,
E. Ardonne, R. Kedem, M. Stone,
Comm. Math. Phys. 264, 427 (2006); pdf; math.RT/0504364.
Filling the Bose sea: symmetric quantum Hall edge states and affine characters,
E. Ardonne, R. Kedem, M. Stone,
J. Phys. A 38, 617 (2005); pdf; cond-mat/0409369.
Topological order and conformal quantum critical points,
E. Ardonne, P. Fendley, E. Fradkin,
Ann. Phys. 310, 493 (2004); pdf; cond-mat/0311466.
K-matrices for 2-D conformal field theories,
E. Ardonne, P. Bouwknegt, P. Dawson,
Nucl. Phys. B 660, 473 (2003); pdf; hep-th/0212084.
Parafermion statistics and application to non-abelian quantum Hall states,
E. Ardonne,
J. Phys. A 35, 447 (2002); pdf; cond-mat/0110108.
Non-Abelian quantum Hall states: wave functions and quasihole state counting,
E. Ardonne, N. Read, E. Rezayi, K. Schoutens,
Nucl. Phys. B 607, 549 (2001); pdf; cond-mat/0104250.
Separation of spin and charge in paired spin-singlet quantum Hall states,
E. Ardonne, F.J.M. van Lankvelt, A.W.W. Ludwig, K. Schoutens,
Phys. Rev. B 65, 041305(R) (2002); pdf; cond-mat/0102072.
Non-abelian quantum Hall states - Exclusion statistics, K-matrices and duality,
E. Ardonne, P. Bouwknegt, K. Schoutens,
J. Stat. Phys. 102, 421 (2001); pdf; cond-mat/0004084.
K-matrices for non-abelian quantum Hall states,
E. Ardonne, P. Bouwknegt, S. Guruswamy, K. Schoutens,
Phys. Rev. B 61, 10298 (2000); pdf; cond-mat/9908285.
New class of non-abelian spin-singlet quantum Hall states,
E. Ardonne, K. Schoutens,
Phys. Rev. Lett. 82, 5096 (1999); pdf; cond-mat/9811352.
Influence of the spin susceptibility on the peak-effect in La-doped CeRu₂,
D. Groten, E. Ardonne, S. Ramakrishnan, G.J. Nieuwenhuys, J.A. Mydosh,
Physica C 306, 271 (1998); pdf.

Nobel Symposium 156 - New forms of matter: topological insulators and superconductors
Part I, Part II.
Editorial,
E. Ardonne, H. Hansson, S. Östlund
Phys. Scr. T 168, 010301 (2016); pdf.
Nobel Symposium 148 - Graphene and Quantum Matter
Editorial,
A. Niemi, F. Wilczek, E. Ardonne, H. Hansson,
Phys. Scr. T 146, 010101 (2012); pdf.

Paired and clustered quantum Hall states,
K. Schoutens, E. Ardonne, F.J.M. van Lankvelt,
in Statistical Field Theories (NATO Science Series II: Mathematics, Physics and Chemistry),
A. Cappelli and G. Mussardo (editors),
p. 305-316, Kluwer Academic (2002);
pdf; cond-mat/0112379.
Non-Abelian statistics in quantum Hall systems,
E. Ardonne, K. Schoutens,
in XIII^th International Congress of Mathematical Physics,
A. Fokas, A. Grigoryan, T. Kibble, B. Zegarlinsky (editors),
p. 191, Int. Press, Boston (2001);
pdf.

My Ph-D thesis:
A conformal field theory description of fractional quantum Hall states. pdf; ps.gz.
This thesis was awarded the Andreas Bonn Medal of the Genootschap ter bevordingering van natuur-, genees- en heelkunde.
My masters thesis:
The role of Chern-Simons theory in the quantum Hall effect.

Topologiskt ordnad materia,
E. Ardonne, T.H. Hansson,
Fysikaktuellt 3, 24 (2014), pdf.
Nobelprijswinnaar 1998 Robert Laughlin:`ik had niets te verliezen',
E. Ardonne, F. Poelwijk, R. Verbeek,
NTvN 65, 326-328 (1999).

(Acces to the journals may be restricted)

Mathematica package ‘affine-lie-algebra-tensor-category’ (alatc):
Package to calculate the F - and R-symbols, as well as the modular data, from the quantum groups associated with affine Lie algebras.
GitHub: github.com/ardonne/affine-lie-algebra-tensor-category

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