Computational Condensed Matter Physics
Institute for Theoretical Physics | University of Cologne

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Publications

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2018

• Jan Attig, Krishanu Roychowdhury, Michael J. Lawler, and Simon Trebst
  Topological Mechanics from Supersymmetry
  arXiv:1809.08248
  
  
• Bela Bauer, Brendan P. Keller, Simon Trebst, and Andreas W. W. Ludwig
  Symmetry-protected non-Fermi liquids, Kagome spin liquids, and the chiral Kondo lattice model
  arXiv:1809.01670
  
  
• Ciarán Hickey and Simon Trebst
  Gapless Visons and Emergent U(1) Spin Liquid in the Kitaev Honeycomb Model:
  Complete Phase Diagram in Tilted Magnetic Fields
  arXiv:1805.05953
  
  
• Erez Berg, Samuel Lederer, Yoni Schattner, and Simon Trebst
  Monte Carlo Studies of Quantum Critical Metals
  arXiv:1804.01988
  invited review for Annual Reviews of Condensed Matter Physics
  
  
• 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

• Peter Broecker, Fakher F. Assaad, and Simon Trebst
  Quantum phase recognition via unsupervised machine learning
  arXiv:1707.00663
  
  
• Simon Trebst
  Kitaev Materials
  arXiv:1701.07056
  short review for lecture notes of the Jülich spring school "Topological Matter" (April 2017)
  
  
• Jan Attig and Simon Trebst
  Classical Spin Spirals in Frustrated Magnets from Free-Fermion Band Topology
  Phys. Rev. B 96, 085145 (2017).
  Editors' suggestion.
  
  
• Peter Broecker, Juan Carrasquilla, Roger G. Melko, and Simon Trebst
  Machine learning quantum phases of matter beyond the fermion sign problem
  Scientific Reports 7, 8823 (2017)
  
  
• Max H. Gerlach, Yoni Schattner, Erez Berg, and Simon Trebst
  Quantum critical properties of a metallic spin density wave transition
  Phys. Rev. B 95, 035124 (2017).
  
  
• Simon Trebst
  Spirale Spinflüssigkeiten
  Physik Journal 16/1, 22-23 (2017).
  
  

2016

• Peter Broecker and Simon Trebst
  Numerical stabilization of entanglement computation in auxiliary field quantum Monte Carlo simulations of interacting many-fermion systems
  Phys. Rev. E 94, 063306 (2016).
  
  
• Finn Lasse Buessen and Simon Trebst
  Competing magnetic orders and spin liquids in two- and three-dimensional kagome systems:
  A pseudo-fermion functional renormalization group perspective
  Phys. Rev. B 94, 235138 (2016).
  Editors' suggestion.
  
  
• Yoni Schattner, Max H. Gerlach, Simon Trebst, and Erez Berg
  Competing Orders in a Nearly Antiferromagnetic Metal
  Phys. Rev. Lett. 117, 097002 (2016).
  Commentary by Jörg Schmalian for the condensed matter journal club.
  
  
• Peter Broecker and Simon Trebst
  Entanglement and the fermion sign problem in auxiliary field quantum Monte Carlo simulations
  Phys. Rev. B 94, 075144 (2016).
  
  
• Kevin O' Brien, Maria Hermanns, and Simon Trebst
  Classification of gapless Z₂ spin liquids in three-dimensional Kitaev models
  Phys. Rev. B 93, 085101 (2016).
  Editors' suggestion.
  


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Johannes Helmes, Lauren E. Hayward Sierens, Anushya Chandran, William Witczak-Krempa, and Roger G. Melko
Universal corner entanglement of Dirac fermions and gapless bosons from the continuum to the lattice
Phys. Rev. B 94, 125142 (2016).

2015

• Maria Hermanns, Simon Trebst, and Achim Rosch
  Spin-Peierls Instability of Three-Dimensional Spin Liquids with Majorana Fermi Surfaces
  Phys. Rev. Lett. 115, 177205 (2015).
  
  
• Johannes Helmes, Jean-Marie Stephan, and Simon Trebst
  A Renyi entropy perspective on topological order in classical toric code models
  Phys. Rev. B 92, 125144 (2015).
  
  
• Maria Hermanns, Kevin O' Brien, and Simon Trebst
  Weyl spin liquids
  Phys. Rev. Lett. 114, 157202 (2015).
  
  
• M. Becker, M. Hermanns, B. Bauer, M. Garst, and S. Trebst
  Spin-orbit physics of j=1/2 Mott insulators on the triangular lattice
  Phys. Rev. B 91, 155135 (2015).
  
  
• Philipp Gegenwart and Simon Trebst
  Kitaev matter
  Nature Physics 11, 444-445 (2015).
  News & Views article on S.W. Chun et al., Nature Physics 11, 462 (2015).
  
  
• Kai P. Schmidt and Simon Trebst
  Topologische Spinflüssigkeiten
  Physik Journal 14/4, 39-44 (2015).
  


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Johannes Helmes and Stefan Wessel
Correlations and entanglement scaling in the quantum critical bilayer XY model
Phys. Rev. B 92, 125120 (2015).

A. M. Cook, S. Matern, C. Hickey, A. A. Aczel, and A. Paramekanti
Spin-orbit coupled j_eff=1/2 iridium moments on the geometrically frustrated fcc lattice
Phys. Rev. B 92, 020417(R) (2015).

Max H. Gerlach and Wolfhard Janke
First-order directional ordering transition in the three-dimensional compass model
Phys. Rev. B 91, 045119 (2015).

2014

• B. Bauer, L. Cincio, B. Keller, M. Dolfi, G. Vidal, S. Trebst, and A. Ludwig
  Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
  Nature Comm. 5, 5137 (2014).
  
  
• Peter Broecker and Simon Trebst
  Renyi Entropies of Interacting Fermions from Determinantal Quantum Monte Carlo Simulations
  J. Stat. Mech. P08015 (2014).
  Article in special issue on Quantum Entanglement in Condensed Matter Physics.
  
  
• Eran Sela, Hong-Chen Jiang, Max H. Gerlach, and Simon Trebst
  Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model
  Phys. Rev. B 90, 035113 (2014).
  
  
• Maria Hermanns and Simon Trebst
  Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice
  Phys. Rev. B 89, 235102 (2014).
  
  
• Maria Hermanns and Simon Trebst
  Renyi entropies for classical stringnet models
  Phys. Rev. B 89, 205107 (2014).
  
  
• Ville Lahtinen, Andreas W. W. Ludwig, and Simon Trebst
  Perturbed vortex lattices and the stability of nucleated topological phases
  Phys. Rev. B 89, 085121 (2014).


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Maria Hermanns, Yann Salimi, Masudul Haque, and Lars Fritz
Entanglement Spectrum and Entanglement Hamiltonian of a Chern insulator with open boundaries
J. Stat. Mech. P10030 (2014).

Meng Cheng, Michael Becker, Bela Bauer, and Roman M. Lutchyn
Interplay between Kondo and Majorana interactions in quantum dots
Phys. Rev. X 4, 031051 (2014).

Johannes Helmes and Stefan Wessel
Entanglement entropy scaling in the bilayer Heisenberg spin system
Phys. Rev. B 89, 245120 (2014).

2013

• B. Bauer, B. Keller, M. Dolfi, S. Trebst, and A. Ludwig
  Gapped and gapless spin liquid phases on the Kagome lattice from chiral three-spin interactions
  arXiv:1303.6963
  
  
• C. Gils, E. Ardonne, S. Trebst, D.A. Huse, A.W.W. Ludwig, M. Troyer, and Z. Wang
  Anyonic quantum spin chains: Spin-1 generalizations and topological stability
  Phys. Rev. B 87, 235120 (2013).
  Editors' suggestion.
  


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Maria Hermanns
Composite Fermion states on the torus
Phys. Rev. B 87, 235128 (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).
  
  300+ 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

• J. Reuther, R. Thomale, and S. Trebst
  Finite-temperature phase diagram of the Heisenberg-Kitaev model
  Phys. Rev. B 84, 100406(R) (2011).
  
  100+ citations
  
  
• Lucile Savary, Emanuel Gull, Simon Trebst, Jason Alicea, Doron Bergman, and Leon Balents
  Impurity Effects in Highly Frustrated Diamond Lattice Antiferromagnets
  Phys. Rev. B 84, 064438 (2011).
  
  
• Hong-Chen Jiang, Zheng-Cheng Gu, Xiao-Liang Qi, and Simon Trebst
  Possible proximity of the Mott insulating Iridate Na₂IrO₃ to a topological phase:
  Phase diagram of the Heisenberg-Kitaev model in a magnetic field
  Phys. Rev. B 83, 245104 (2011).
  
  100+ citations
  
  
• D. Poilblanc, A. Ludwig, S. Trebst, and M. Troyer
  Quantum spin ladders of non-Abelian anyons
  Phys. Rev. B 83, 134439 (2011).
  
  
• Andreas W.W. Ludwig, Didier Poilblanc, Simon Trebst, and Matthias Troyer
  Two-dimensional quantum liquids from interacting non-Abelian anyons
  New J. Phys. 13, 045014 (2011).
  Article in focus issue on Topological Quantum Computation.
  
  
• Eddy Ardonne, Jan Gukelberger, Andreas W.W. Ludwig, Simon Trebst, and Matthias Troyer
  Microscopic models of interacting Yang-Lee anyons
  New J. Phys. 13, 045006 (2011).
  Article in focus issue on Topological Quantum Computation.
  
  
• S.V. Isakov, P. Fendley, A.W.W. Ludwig, S. Trebst, and M. Troyer
  Dynamics at and near conformal quantum critical points
  Phys. Rev. B 83, 125114 (2011).
  Editors' suggestion.
  
  
• M.H. Freedman, L. Gamper, C. Gils, S.V. Isakov, S. Trebst, and M. Troyer
  Topological Phases: An Expedition off Lattice
  Ann. Phys. 326, 2108 (2011) and arXiv:1102.0270
  
  

2010

• Andre van Rynbach, Synge Todo, and Simon Trebst
  Orbital ordering in e_g 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).
  
  
• 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).
  
  

2008

• Matthias Troyer, Simon Trebst, Kirill Shtengel, and Chetan Nayak
  Local interactions and non-Abelian quantum loop gases
  Phys. Rev. Lett. 101, 230401 (2008).
  
  
• D. N. Sheng, Olexei I. Motrunich, Simon Trebst, Emanuel Gull, and Matthew P.A. Fisher
  Strong-Coupling Phases of Frustrated Bosons on a 2-leg Ladder with Ring Exchange
  Phys. Rev. B 78, 054520 (2008).
  Editors' suggestion, August (2008).
  
  
• S. Trebst, E. Ardonne, A. Feiguin, D. A. Huse, A. W. W. Ludwig, and M. Troyer
  Collective States of Interacting Fibonacci Anyons
  Phys. Rev. Lett. 101, 050401 (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 Phys. 3, 487 (2007) and cond-mat/0612001
  
  100+ 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).
  
  100+ 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).
  
  100+ 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).
  
  
• 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).
  
  
• 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).
  
  100+ 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).
  
  100+ 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).
  
  100+ 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).
  
  100+ 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).
  
  
• 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).
  
  

ALPS publications

• B. Bauer et al. (ALPS collaboration)
  The ALPS project release 2.0: open source software for strongly correlated systems
  J. Stat. Mech. P05001 (2011).
  
  300+ citations
  
  
• A. F. Albuquerque et al. (ALPS collaboration)
  The ALPS project release 1.3: open source software for strongly correlated systems
  J. Magn. Mag. Mat. 310, 1187 (2007).
  
  400+ citations
  
  
• F. Alet et al. (ALPS collaboration)
  The ALPS project: open source software for strongly correlated systems
  J. Phys. Soc. Jpn. Suppl. 74, 30 (2005).
  
  

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).
  
  
• 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