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Preprints

• 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
  arXiv:1111.3296
  
  
• Chris R. Laumann, Andreas W.W. Ludwig, David A. Huse, and Simon Trebst
  Disorder-induced Majorana metal in interacting non-Abelian anyon systems
  arXiv:1106.6265
  
  
• 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
  arXiv:1106.0429, to appear in Phys. Rev. Lett. (2012)
  
  

Publications

• 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.
  
  
• J. Reuther, R. Thomale, and S. Trebst
  Finite-temperature phase diagram of the Heisenberg-Kitaev model
  Phys. Rev. B 84, 100406(R) (2011).
  
  
• 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).
  
  
• 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
  
  
• 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).
  
  
• 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, 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, Leon Balents
  Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets
  Phys. Rev. B 79, 214436 (2009).
  
  
• Matthias Troyer, Simon Trebst, Kirill Shtengel, 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, 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, M. Troyer
  Collective States of Interacting Fibonacci Anyons
  Phys. Rev. Lett. 101, 050401 (2008).
  
  
• S. Wessel, N. Stoop, E. Gull, S. Trebst, 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, Leon Balents
  Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
  Nature Phys. 3, 487 (2007) and cond-mat/0612001
  
  
• 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).
  
  
• Simon Trebst, Philipp Werner, Matthias Troyer, Kirill Shtengel, 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).
  
  
• Simon Trebst and U.H.E. Hansmann
  Optimized folding simulations of protein A
  Eur. Phys. J. E 24, 311 (2007).
  
  
• 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).
  
  
• 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).
  
  
• 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).
  
  
• Simon Trebst, David A. Huse, Matthias Troyer
  Optimizing the ensemble for equilibration in broad-histogram Monte Carlo simulations
  Phys. Rev. E 70, 046701 (2004).
  
  
• 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).
  
  
• 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).
  
  
• 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).
  
  
• 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

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

Theses

• Simon Trebst
  Bound states in strongly correlated magnetic and electronic systems
  PhD thesis, Bonn University (2002)
  
  
• Simon Trebst
  Thermodynamics and dynamics of the spin-Peierls transition with non-adiabatic phonons
  Diploma thesis, Bonn University (1999)