Publications

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2025

  • Malte Pütz, Samuel J. Garratt, Hidetoshi Nishimori, Simon Trebst, and Guo-Yi Zhu
    Learning transitions in classical Ising models and deformed toric codes
    arXiv:2504.12385, [data: 10.5281/zenodo.15227834]

  • Lasse Gresista, Daniel Lozano-Gómez, Matthias Vojta, Simon Trebst, and Yasir Iqbal
    Quantum effects on pyrochlore higher-rank U(1) spin liquids:
    pinch-line singularities, spin nematics, and connections to oxide materials
    arXiv:2503.03749, [data: 10.5281/zenodo.14924792]

  • Qingyuan Wang, Romain Vasseur, Simon Trebst, Andreas W.W. Ludwig, and Guo-Yi Zhu
    Decoherence-induced self-dual criticality in topological states of matter
    arXiv:2502.14034, [data: 10.5281/zenodo.14876155]

  • Yoshito Watanabe, Simon Trebst, and Ciarán Hickey
    Revealing Quadrupolar Excitations with Non-Linear Spectroscopy
    Phys. Rev. Lett. 134, 106703 (2025), [data: 10.5281/zenodo.11106522]

  • Edward H. Chen, Guo-Yi Zhu, Ruben Verresen, Alireza Seif, Elisa Bäumer, David Layden, Nathanan Tantivasadakarn, Guanyu Zhu, Sarah Sheldon, Ashvin Vishwanath, Simon Trebst, and Abhinav Kandala
    Realizing the Nishimori transition across the error threshold for constant-depth quantum circuits
    Nature Physics 21, 161 (2025), [data: figshare.24293524]
    Feature in phys.org, (January 2025)

2024

2023

2022

2021

2020

  • Tim Eschmann, Vatsal Dwivedi, Henry F. Legg, Ciarán Hickey, and Simon Trebst
    Partial flux ordering and thermal Majorana metals in higher-order spin liquids
    Phys. Rev. Research 2, 043159 (2020).

  • A. Revelli, M. Moretti Sala, G. Monaco, C. Hickey, P. Becker, F. Freund, A. Jesche, P. Gegenwart, T. Eschmann, F. L. Buessen, S. Trebst, P. H. M. van Loosdrecht, J. van den Brink, and M. Grüninger
    Fingerprints of Kitaev physics in the magnetic excitations of honeycomb iridates
    Phys. Rev. Research 2, 043094 (2020).

  • T. Eschmann, P. A. Mishchenko, K. O'Brien, T. A. Bojesen, Y. Kato, M. Hermanns, Y. Motome, and S. Trebst
    Thermodynamic classification of three-dimensional Kitaev spin liquids
    Phys. Rev. B 102, 075125 (2020).

  • Frederic Freyer, SungBin Lee, Yong-Baek Kim, Simon Trebst, and Arun Paramekanti
    Thermal and field-induced transitions in ferroquadrupolar Kondo systems
    Phys. Rev. Research 2, 033176 (2020).

  • Christoph Berke, Simon Trebst, and Ciarán Hickey
    Field stability of Majorana spin liquids in antiferromagnetic Kitaev models
    Phys. Rev. B 101, 214442 (2020).

  • Ciarán Hickey, Christoph Berke, Panagiotis Peter Stavropoulos, Hae-Young Kee, and Simon Trebst
    Field-Driven Gapless Spin Liquid in the Spin-1 Kitaev Honeycomb Model
    Phys. Rev. Research 2, 023361 (2020).

  • Carsten Bauer, Yoni Schattner, Simon Trebst, and Erez Berg
    Hierarchy of energy scales in an O(3) symmetric antiferromagnetic quantum critical metal:
    a Monte Carlo study
    Phys. Rev. Research 2, 023008 (2020).

  • Dominik Kiese, Finn Lasse Buessen, Ciarán Hickey, Simon Trebst, and Michael M. Scherer
    Emergence and stability of spin-valley entangled quantum liquids in moiré heterostructures
    Phys. Rev. Research 2, 013370 (2020).

  • P. A. Mishchenko, Y. Kato, K. O'Brien, T. A. Bojesen, T. Eschmann, M. Hermanns, S. Trebst, and Y. Motome
    Chiral spin liquids with crystalline Z2 gauge order in a three-dimensional Kitaev model
    Phys. Rev. B 101, 045118 (2020).
    Editors' suggestion.

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2019

2018

  • SungBin Lee, Simon Trebst, Yong Baek Kim, and Arun Paramekanti
    Landau theory of multipolar orders in Pr(TM)2X20 Kondo materials
    Phys. Rev. B 98, 134447 (2018).

  • Dennis Wawrzik, David Lindner, Maria Hermanns, and Simon Trebst
    Topological semimetals and insulators in three-dimensional honeycomb materials
    Phys. Rev. B 98, 115114 (2018).

  • Vatsal Dwivedi, Ciarán Hickey, Tim Eschmann, and Simon Trebst
    Majorana Corner Modes in a Second-Order Kitaev Spin Liquid
    Phys. Rev. B 98, 054432 (2018).

  • Frederic Freyer, Jan Attig, SungBin Lee, Arun Paramekanti, Simon Trebst, and Yong Baek Kim
    Two-stage multipolar ordering in Pr(TM)2Al20 Kondo materials
    Phys. Rev. B 97, 115111 (2018).

  • Finn Lasse Buessen, Max Hering, Johannes Reuther, and Simon Trebst
    Quantum Spin Liquids in Frustrated Spin-1 Diamond Antiferromagnets
    Phys. Rev. Lett. 120, 057201 (2018).

  • Finn Lasse Buessen, Dietrich Roscher, Sebastian Diehl, and Simon Trebst
    Functional renormalization group approach to SU(N) Heisenberg models:
    Real-space RG at arbitrary N
    Phys. Rev. B 97, 064415 (2018).

  • Dietrich Roscher, Finn Lasse Buessen, Michael M. Scherer, Simon Trebst, and Sebastian Diehl
    Functional renormalization group approach to SU(N) Heisenberg models:
    Momentum-space RG for the large-N limit
    Phys. Rev. B 97, 064416 (2018).

  • Simon Trebst and Achim Rosch
    Quanten-Hall-Effekt 4.0
    Physik Journal 17/8-9, 26-27 (2018).

2017

2016

2015

2014

2013

2012

  • Y. Singh, S. Manni, J. Reuther, T. Berlijn, R. Thomale, W. Ku, S. Trebst, and P. Gegenwart
    Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A2IrO3
    Phys. Rev. Lett. 108, 127203 (2012).
    900+ citations

  • Chris R. Laumann, Andreas W.W. Ludwig, David A. Huse, and Simon Trebst
    Disorder-induced Majorana metal in interacting non-Abelian anyon systems
    Phys. Rev. B 85, 161301(R) (2012).

  • C.R. Laumann, D.A. Huse, A.W.W. Ludwig, G. Refael, S. Trebst, and M. Troyer
    Strong-disorder renormalization for interacting non-Abelian anyon systems in two dimensions
    Phys. Rev. B 85, 224201 (2012).

  • Ville Lahtinen, Andreas W.W. Ludwig, Jiannis K. Pachos, and Simon Trebst
    Topological liquid nucleation induced by vortex-vortex interactions in Kitaev's honeycomb model
    Phys. Rev. B 86, 075115 (2012).

  • M.H. Freedman, J. Gukelberger, M.B. Hastings, S. Trebst, M. Troyer, and Z. Wang
    Galois Conjugates of Topological Phases
    Phys. Rev. B 85, 045414 (2012).
    Editors' suggestion.

  • R.N.C. Pfeifer, O. Buerschaper, S. Trebst, A.W.W. Ludwig, M. Troyer, and G. Vidal
    Translation invariance, topology, and protection of criticality in chains of interacting anyons
    Phys. Rev. B 86, 155111 (2012).

2011

2010

  • Andre van Rynbach, Synge Todo, and Simon Trebst
    Orbital ordering in eg orbital systems: Ground states and thermodynamics of the 120 degree model
    Phys. Rev. Lett. 105, 146402 (2010).

  • Bela Bauer, Emanuel Gull, Simon Trebst, Matthias Troyer, and David A. Huse
    Optimized broad-histogram simulations for strong first-order phase transitions: Droplet transitions in the large-Q Potts model
    J. Stat. Mech. P01020 (2010).

2009

  • C. Gils, S. Trebst, A. Kitaev, A. Ludwig, M. Troyer, and Z. Wang
    Topology driven quantum phase transitions in time-reversal invariant anyonic quantum liquids
    Nature Physics 5, 834 (2009) and arXiv:0906.1579
    News and Views article by Kareljan Schoutens in Nature Physics (November 2009).

  • C. Gils, E. Ardonne, S. Trebst, A. W. W. Ludwig, M. Troyer, and Z. Wang
    Collective States of Interacting Anyons, Edge States, and the Nucleation of Topological Liquids
    Phys. Rev. Lett. 103, 070401 (2009).
    Virtual Journal of Atomic Quantum Fluids, September (2009).
    100+ citations

  • Gang Chen, Jan Gukelberger, Simon Trebst, Fabien Alet, and Leon Balents
    Coulomb gas transitions in three-dimensional classical dimer models
    Phys. Rev. B 80, 045112 (2009).

  • E.M. Stoudenmire, Simon Trebst, and Leon Balents
    Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets
    Phys. Rev. B 79, 214436 (2009).
    100+ citations

2008

2007

  • S. Wessel, N. Stoop, E. Gull, S. Trebst, and M. Troyer
    Optimized Broad-Histogram Ensembles for the Simulation of Quantum Systems
    J. Stat. Mech. P12005 (2007).

  • Doron Bergman, Jason Alicea, Emanuel Gull, Simon Trebst, and Leon Balents
    Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
    Nature Physics 3, 487 (2007) and cond-mat/0612001
    300+ citations

  • A. Feiguin, S. Trebst, A. Ludwig, M. Troyer, A. Kitaev, Z. Wang, and M. Freedman
    Interacting anyons in topological quantum liquids: The golden chain
    Phys. Rev. Lett. 98, 160409 (2007).
    400+ citations

  • Simon Trebst, Philipp Werner, Matthias Troyer, Kirill Shtengel, and Chetan Nayak
    Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
    Phys. Rev. Lett. 98, 070602 (2007).
    Virtual Journal of Quantum Information, February (2007).
    Virtual Journal of Nanoscale Science and Technology, February (2007).
    250+ citations

  • Simon Trebst and U.H.E. Hansmann
    Optimized folding simulations of protein A
    Eur. Phys. J. E 24, 311 (2007).

2006

  • Andreas Läuchli, Guido Schmid, Simon Trebst
    Spin nematic correlations in bilinear-biquadratic S=1 spin chains
    Phys. Rev. B 74, 144426 (2006).
    200+ citations

  • Simon Trebst, Ulrich Schollwöck, Matthias Troyer, Peter Zoller
    d-wave resonating valence bond states of fermionic atoms in optical lattices
    Phys. Rev. Lett. 96, 250402 (2006).
    100+ citations

  • Simon Trebst, Matthias Troyer, Ulrich H. E. Hansmann
    Optimized parallel tempering simulations of proteins
    J. Chem. Phys. 124, 174903 (2006).
    Virtual Journal of Biological Physics Research, May (2006).
    250+ citations

  • Simon Trebst, Hartmut Monien, Axel Grzesik, Manfred Sigrist
    Quasiparticle Dynamics in the Kondo Lattice Model at Half Filling
    Phys. Rev. B 73, 165101 (2006).

  • Helmut G. Katzgraber, Simon Trebst, David A. Huse, Matthias Troyer
    Feedback-optimized parallel tempering Monte Carlo
    J. Stat. Mech. P03018 (2006).
    300+ citations

2005

  • Simon Trebst, Emanuel Gull, Matthias Troyer
    Optimized ensemble Monte Carlo simulations of dense Lennard-Jones fluids
    J. Chem. Phys. 123, 204501 (2005).

  • Y. Wu, M. Körner, L. Colonna-Romano, S. Trebst, H. Gould, J. Machta, M. Troyer
    Overcoming the critical slowing down of flat-histogram Monte Carlo simulations:
    Cluster updates and optimized broad-histogram ensembles
    Phys. Rev. E 72, 046704 (2005).

  • S. Wessel, F. Alet, S. Trebst, D. Leumann, M. Troyer, G. G. Batrouni
    Bosons in optical lattices - from the Mott transition to the Tonks gas regime
    J. Phys. Soc. Jpn. Suppl. 74, 10 (2005).

  • S. Wessel, S. Trebst, M. Troyer
    A multiscale approach to simulations of quantum effects in nano-scale magnetic systems
    SIAM Multiscale Modeling and Simulation (MMS) Journal 4, 237 (2005).

2004

  • Simon Trebst, David A. Huse, Matthias Troyer
    Optimizing the ensemble for equilibration in broad-histogram Monte Carlo simulations
    Phys. Rev. E 70, 046701 (2004).
    200+ citations

  • S. Alder, S. Trebst, A. K. Hartmann, M. Troyer
    Dynamics of the Wang-Landau algorithm and Complexity of rare events for the three-dimensional bimodal Ising spin glass
    J. Stat. Mech. P07008 (2004).

  • P. Dayal, S. Trebst, S. Wessel, D. Würtz, M. Troyer, S. Sabhapandit, and S. N. Coppersmith
    Performance Limitations of Flat Histogram Methods
    Phys. Rev. Lett. 92, 097201 (2004).
    150+ citations

Earlier years

  • A. Koitzsch, G. Blumberg, A. Gozar, B. Dennis, A.P. Ramirez, S. Trebst, and Shuichi Wakimoto
    Antiferromagnetism in CaCu3Ti4O12 studied by magnetic Raman spectroscopy
    Phys. Rev. B 65, 052406 (2002).
    100+ citations

  • Z. Weihong, C.J. Hamer, R.R.P. Singh, S. Trebst, and H. Monien
    Linked Cluster Series Expansions for Two-Particle Bound States
    Phys. Rev. B 63, 144410 (2001).

  • Z. Weihong, C. J. Hamer, R. R. P. Singh, S. Trebst, and H. Monien
    Deconfinement Transition and Bound States in Frustrated Heisenberg Chains:
    Regimes of Forced and Spontaneous Dimerization
    Phys. Rev. B 63, 144411 (2001).

  • S. Trebst, N. Elstner and H. Monien
    Renormalization of the Spin-Peierls Transition due to Phonon Dynamics
    Europhys. Lett. 56, 268 (2001).

  • Simon Trebst and Anirvan Sengupta
    Discussion of a spin-cluster model for the low temperature phase of alpha'-NaV2O5
    Phys. Rev. B 62, R14613 (2000).

  • S. Trebst, H. Monien, C.J. Hamer, Z. Weihong, and R.R.P. Singh
    Strong-Coupling Expansions for Multiparticle Excitations: Continuum and Bound States
    Phys. Rev. Lett. 85, 4373 (2000).
    100+ citations

ALPS publications

Book chapters

  • Claudio Castelnovo, Simon Trebst, and Matthias Troyer
    Topological Order and Quantum Criticality
    chapter of the book "Understanding Quantum Phase Transitions", edited by Lincoln D. Carr (CRC Press / Taylor and Francis, 2010)

  • S. Trebst and M. Troyer
    Ensemble Optimization Techniques for Classical and Quantum Systems
    Lect. Notes Phys. 703, 591 (2006).

Selected conference proceedings

  • S. Trebst, M. Troyer, Z. Wang, and A.W.W. Ludwig
    A Short Introduction to Fibonacci Anyon Models
    Prog. Theor. Phys. Suppl. 176, 384 (2008).
    200+ citations

  • S. Trebst, D. A. Huse, E. Gull, H. G. Katzgraber, U. H. E. Hansmann, and M. Troyer
    Ensemble optimization techniques for the simulation of slowly equilibrating systems
    Springer Proceedings in Physics 123, 33 (2008).
    "Computer Simulation Studies in Condensed Matter Physics XIX", edited by D. P. Landau, S. P. Lewis and H.-B. Schüttler

  • M. Troyer, F. Alet, S. Trebst, and S. Wessel
    Non-local updates for quantum Monte Carlo simulations
    AIP Conference Proceedings 690, 156 (2003).
    "The Monte Carlo Method in the Physical Sciences: Celebrating the 50th Anniversary of the Metropolis Algorithm" edited by J. Gubernatis

Other publications

  • Hermann Bothe, Thomas Happe, Simon Trebst, and Matthias Rögner
    In memory of Achim Trebst (1929-2017): a pioneer of photosynthesis research
    Photosynthesis Research 137, 341 (2018).

  • Simon Trebst
    Geheimsprachen. Geschichte und Techniken (book review)
    Spektrum der Wissenschaft (German edition of Scientific American), April 1999