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  1. PMFRG.jl (Pseudo-Majorana Functional Renormalization Group) is a Julia package used to compute observables for spin-1/2 Heisenberg models


  1. Vincent Noculak, Johannes Reuther, Pseudo-fermion functional renormalization group with magnetic fields, Phys. Rev. B 109, 174414 (2024)
  2. Benedikt Schneider, Johannes Reuther, Matías G. Gonzalez, Björn Sbierski, Nils Niggemann, Temperature flow in pseudo-Majorana functional renormalization for quantum spins, Phys. Rev. B 109, 195109 (2024)
  3. Matías G. Gonzalez, Anna Fancelli, Han Yan, Johannes Reuther, Magnetic properties of the spiral spin liquid and surrounding phases in the square lattice XY model, arXiv:2404.00100 (2024)
  4. Tobias Müller, Dominik Kiese, Nils Niggemann, Björn Sbierski, Johannes Reuther, Simon Trebst, Ronny Thomale, Yasir Iqbal, Pseudo-fermion functional renormalization group for spin models, Rep. Prog. Phys. 87 036501 (2024)
  5. Nils Niggemann, Nikita Astrakhantsev, Arnaud Ralko, Francesco Ferrari, Atanu Maity, Tobias Müller, Johannes Richter, Ronny Thomale, Titus Neupert, Johannes Reuther, Yasir Iqbal, Harald O. Jeschke, Quantum paramagnetism in the decorated square-kagome antiferromagnet Na6Cu7BiO4(PO4)4Cl3, Phys. Rev. B 108, L241117 (2023)
  6. Anna Fancelli, Johannes Reuther, Bella Lake, Classical spin models of the windmill lattice and their relevance for PbCuTe2O6, Phys. Rev. B 108, 184415 (2023)
  7. Daniel Lozano-Gómez, Vincent Noculak, Jaan Oitmaa, Rajiv R. P. Singh, Yasir Iqbal, Johannes Reuther, Michel J. P. Gingras, Competing Gauge Fields and Entropically-Driven Spin Liquid to Spin Liquid Transition in non-Kramers Pyrochlores, arXiv:2310.16682 (2023)
  8. M. G. Gonzalez, V. Noculak, A. Sharma, V. Favre, J-R. Soh, A. Magrez, R. Bewley, H. O. Jeschke, J. Reuther, H. M. Rønnow, Y. Iqbal, I. Živković, Dynamics of K2Ni2(SO4)3 governed by proximity to a 3D spin liquid model, arXiv:2308.11746 (2023)
  9. Vincent Noculak, Daniel Lozano-Gómez, Jaan Oitmaa, Rajiv R. P. Singh, Yasir Iqbal, Michel J. P. Gingras, Johannes Reuther, Classical and quantum phases of the pyrochlore S=1/2 magnet with Heisenberg and Dzyaloshinskii-Moriya interactions, Phys. Rev. B 107, 214414 (2023)
  10. Nils Niggemann, Yasir Iqbal, Johannes Reuther, Quantum effects on unconventional pinch point singularities, Phys. Rev. Lett. 130, 196601 (2023)
  11. Yannik Schaden, Johannes Reuther, Bilinear Majorana representations for spin operators with spin magnitudes S>1/2, Phys. Rev. Research 5, 023067 (2023)
  12. Dominik Kiese, Francesco Ferrari, Nikita Astrakhantsev, Nils Niggemann, Pratyay Ghosh, Tobias Müller, Ronny Thomale, Titus Neupert, Johannes Reuther, Michel J. P. Gingras, Simon Trebst, Yasir Iqbal, Pinch-points to half-moons and up in the stars: the kagome skymap, Phys. Rev. Research 5, L012025 (2023)
  13. Imre Hagymási, Vincent Noculak, Johannes Reuther, Enhanced symmetry-breaking tendencies in the S=1 pyrochlore antiferromagnet, Phys. Rev. B 106, 235137 (2022)
  14. Han Yan, Johannes Reuther, Low energy structure of spiral spin liquids, Phys. Rev. Research 4, 023175 (2022)
  15. Nils Niggemann, Johannes Reuther, Björn Sbierski, Quantitative functional renormalization for three-dimensional quantum Heisenberg models, SciPost Phys. 12, 156 (2022)
  16. Max Hering, Vincent Noculak, Francesco Ferrari, Yasir Iqbal, Johannes Reuther, Dimerization tendencies of the pyrochlore Heisenberg antiferromagnet: A functional renormalization group perspective, Phys. Rev. B 105, 054426 (2022)
  17. Max Hering, Francesco Ferrari, Aleksandar Razpopov, Igor I. Mazin, Roser Valenti, Harald O. Jeschke, Johannes Reuther, Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite, npj Computational Materials volume 8, Article number: 10 (2022)
  18. Nikita Astrakhantsev, Francesco Ferrari, Nils Niggemann, Tobias Müller, Aishwarya Chauhan, Augustine Kshetrimayum, Pratyay Ghosh, Nicolas Regnault, Ronny Thomale, Johannes Reuther, Titus Neupert, Yasir Iqbal, Pinwheel valence-bond-crystal ground state of the spin-12 Heisenberg antiferromagnet on the shuriken lattice, Phys. Rev. B 104, L220408 (2021)
  19. Ivica Živković, Virgile Favre, Catalina Salazar Mejia, Harald O. Jeschke, Arnaud Magrez, Bhupen Dabholkar, Vincent Noculak, Rafael S. Freitas, Minki Jeong, Nagabhushan G. Hegde, Luc Testa, Peter Babkevich, Yixi Su, Pascal Manuel, Hubertus Luetkens, Christopher Baines, Peter J. Baker, Jochen Wosnitza, Oksana Zaharko, Yasir Iqbal, Johannes Reuther, and Henrik M. Rønnow, Magnetic Field Induced Quantum Spin Liquid in the Two Coupled Trillium Lattices of K2Ni2(SO4)3, Phys. Rev. Lett. 127, 157204 (2021)
  20. Nils Niggemann, Björn Sbierski, and Johannes Reuther, Frustrated quantum spins at finite temperature: Pseudo-Majorana functional renormalization group approach, Phys. Rev. B 103, 104431 (2021)
  21. E. S. Klyushina, J. Reuther, L. Weber, A. T. M. N. Islam, J. S. Lord, B. Klemke, M. Månsson, S. Wessel, B. Lake, Signatures for Berezinsky-Kosterlitz-Thouless critical behaviour in the planar antiferromagnet BaNi2V2O8, Phys. Rev. B 104, 064402 (2021)
  22. Max Hering, Han Yan, Johannes Reuther, Fracton excitations in classical frustrated kagome spin models, Phys. Rev. B 104, 064406 (2021)
  23. Jonas Sonnenschein, Aishwarya Chauhan, Yasir Iqbal, Johannes Reuther, Projective symmetry group classifications of quantum spin liquids on the simple cubic, body centered cubic, and face centered cubic lattices, Phys. Rev. B 102, 125140 (2020)
  24. E. Seabrook, M.L. Baez, J. Reuther, Z2 vortices in the ground states of classical Kitaev-Heisenberg models, Phys. Rev. B. 101, 174443 (2020)
  25. Nils Niggemann, Max Hering, Johannes Reuther, Classical spiral spin liquids as a possible route to quantum spin liquids, J. Phys.: Condens. Matter 32 024001 (2019)
  26. Jonas Sonnenschein, Christian Balz, Ulrich Tutsch, Michael Lang, Hanjo Ryll, Jose A. Rodriguez-Rivera, A. T. M. Nazmul Islam, Bella Lake, Johannes Reuther, Signatures for spinons in the quantum spin liquid candidate Ca10Cr7O28, Phys. Rev. B 100, 174428 (2019)
  27. Finn Lasse Buessen, Vincent Noculak, Simon Trebst, Johannes Reuther, Functional renormalization group for frustrated magnets with non-diagonal spin interactions, Phys. Rev. B 100, 125164 (2019)
  28. Pratyay Ghosh, Yasir Iqbal, Tobias Müller, Ronny Thomale, Johannes Reuther, Michel J. P. Gingras, Harald O. Jeschke, Breathing chromium spinels: a showcase for a variety of pyrochlore Heisenberg Hamiltonians, NPJ Quantum Materials 4, 63 (2019)
  29. Pratyay Ghosh, Tobias Müller, Francesco Parisen Toldin, Johannes Richter, Rajesh Narayanan, Ronny Thomale, Johannes Reuther, Yasir Iqbal, Quantum paramagnetism and helimagnetic orders in the Heisenberg model on the body centered cubic lattice, Phys. Rev. B 100, 014420 (2019)
  30. Max Hering, Jonas Sonnenschein, Yasir Iqbal, Johannes Reuther, Characterization of quantum spin liquids and their spinon band structures via functional renormalization, Phys. Rev. B 99, 100405 (R) (2019)
  31. P. Lampen-Kelley, S. Rachel, J. Reuther, J.-Q. Yan, A. Banerjee, C.A. Bridges, H.B. Cao, S.E. Nagler, D. Mandrus, Anisotropic susceptibilities in the honeycomb Kitaev system α-RuCl3, Phys. Rev. B 98, 100403 (2018)
  32. Yasir Iqbal, Tobias Müller, Pratyay Ghosh, Michel J. P. Gingras, Harald O. Jeschke, Stephan Rachel, Johannes Reuther, Ronny Thomale, Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions, Phys. Rev. X 9, 011005 (2019)
  33. Yasir Iqbal, Tobias Müller, Harald O. Jeschke, Ronny Thomale, Johannes Reuther, Stability of the spiral spin liquid in MnSc2S4, Phys. Rev. B 98, 064427 (2018)
  34. S. Chillal, Y. Iqbal, H. O. Jeschke, J. A. Rodriguez-Rivera, R. Bewley, P. Manuel, D. Khalyavin, P. Steffens, R. Thomale, A. T. M. N. Islam, J. Reuther, B. Lake, Evidence for a three-dimensional quantum spin liquid in PbCuTe2O6, Nature Communications 11, 2348 (2020)
  35. Marlon Rueck, Johannes Reuther, Effects of two-loop contributions in the pseudofermion functional renormalization group method for quantum spin systemsPhys. Rev. B 97, 144404 (2018)
  36. Jonas Sonnenschein, Johannes Reuther, Topological spinon bands and vison excitations in spin-orbit coupled quantum spin liquids, Phys. Rev. B 96, 235113 (2017)
  37. Finn Lasse Buessen, Max Hering, Johannes Reuther, Simon Trebst, Quantum spin liquids in frustrated spin-1 diamond antiferromagnets, Phys. Rev. Lett. 120, 057201 (2018)
  38. Yasir Iqbal, Tobias Müller, Kira Riedl, Johannes Reuther, Stephan Rachel, Roser Valentí, Michel J. P. Gingras, Ronny Thomale, Harald O. Jeschke, Signatures of a gearwheel quantum spin liquid in a spin-1/2 pyrochlore molybdate Heisenberg antiferromagnet, Phys. Rev. Materials 1, 071201 (2017)
  39. M. Laubach, J. Reuther, R. Thomale, S. Rachel, Three-band Hubbard model for Na2IrO3: Topological insulator, zigzag antiferromagnet, and Kitaev-Heisenberg material, Phys. Rev.  B 96, 121110 (2017)
  40. M.L. Baez, J. Reuther, Numerical treatment of spin systems with unrestricted spin length S: A functional renormalization group study, Phys. Rev. B 96, 045144 (2017)
  41. M. Hering, J. Reuther, Functional-renormalization-group analysis of Dzyaloshinsky-Moriya and Heisenberg spin interactions on the kagome latticePhys. Rev. B 95, 054418 (2017)
  42. Y. Iqbal, P. Gosh, R. Narayanan, B. Kumar, J. Reuther, and R. Thomale, Intertwined nematic orders in a frustrated ferromagnet, Phys. Rev. B 94, 224403 (2016)
  43. C. Balz, B. Lake, J. Reuther, H. Luetkens, R. Schönemann, T. Herrmannsdörfer, Y. Singh, A.T.M.N. Islam, E.M. Wheeler, J.A. Rodriguez-Rivera, T. Guidi, G.G. Simeoni, C. Baines, and H. Ryll, Physical realization of a quantum spin liquid based on a complex frustration mechanism, Nature Physics 12, 942 (2016)
  44. Y. Iqbal, R. Thomale, F.P. Toldin, S. Rachel, and J. Reuther, Functional Renormalization Group for three-dimensional Quantum Magnetism, Phys. Rev. B 94, 140408(R) (2016)
  45. M. Laubach, D. G. Joshi, J. Reuther, R. Thomale, M. Vojta, S. Rachel, Quantum disordered insulating phase in the frustrated cubic-lattice Hubbard model, Phys. Rev. B 93, 041106(R) (2016).
  46. I. Rousochatzakis, J. Reuther, R. Thomale, S. Rachel, N. B. Perkins, Phase diagram and quantum order by disorder in the Kitaev K1 - K2 honeycomb magnet, Phys. Rev. X 5, 041035 (2015).
  47. Y. Iqbal, H. O. Jeschke, J. Reuther, R. Valenti, I. I. Mazin, M. Greiter, R. Thomale, Paramagnetism in the kagome compounds (Zn, Mg, Cd) Cu3 (OH)6 Cl2, Phys. Rev. B 92, 220404(R) (2015).
  48. S. Rachel, M. Laubach, J. Reuther, and R. Thomale, Quantum paramagnet in a π flux triangular lattice Hubbard model, Phys. Rev. Lett. 114, 167201 (2015).
  49. J. Reuther, S.-P. Lee, and J. Alicea, Classification of spin liquids on the square lattice with strong spin-orbit coupling, Phys. Rev. B 90, 174417 (2014).
  50. M. Laubach, J. Reuther, R. Thomale, and S. Rachel, Rashba spin orbit coupling in the Kane-Mele-Hubbard model, Phys. Rev. B 90, 165136 (2014).
  51. J. Reuther, R. Thomale, and S. Rachel, Spiral order in the honeycomb iridate Li2IrO3Phys. Rev. B 90, 100405(R) (2014).
  52. R. Suttner, C. Platt, J. Reuther, and R. Thomale, Renormalization group analysis of competing quantum phases in the J1-J2 Heisenberg model on the kagome lattice, Phys. Rev. B 89, 020408(R) (2014)
  53. J. Reuther and R. Thomale, Cluster Functional Renormalization Group, Phys. Rev. B 89, 024412 (2014).
  54. J. Reuther, J. Alicea, and A. Yacoby, Gate-defined wires in HgTe quantum wells: from Majorana fermions to spintronics, Phys. Rev. X 3, 031011 (2013).
  55. J. Reuther, R. Thomale, and S. Rachel, Magnetic ordering phenomena of interacting quantum spin Hall models, Phys. Rev. B 86, 155127 (2012).
  56. 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).
  57. J. Reuther, R. Thomale, and S. Trebst, Finite-temperature phase diagram of the Heisenberg-Kitaev model, Phys. Rev. B 84, 100406(R) (2011).
  58. J. Reuther, D. A. Abanin, and R. Thomale, Magnetic order and paramagnetic phases in the quantum J1-J2-J3 honeycomb model, Phys. Rev. B 84, 014417 (2011).
  59. J. Reuther, P. Wölfle, R. Darradi, W. Brenig, M. Arlego, and J. Richter, Quantum phases of the planar antiferromagnetic J1-J2-J3 Heisenberg model, Phys. Rev. B 83, 064416 (2011).
  60. J. Reuther and R. Thomale, Functional renormalization group for the anisotropic triangular antiferromagnet, Phys. Rev. B 83, 024402 (2011).
  61. J. Reuther and P. Wölfle, J1-J2 frustrated two-dimensional Heisenberg model: Random phase approximation and functional renormalization group, Phys. Rev. B 81, 144410 (2010).

Books and Theses

  1. J. Reuther, Frustrated Quantum Heisenberg Antiferromagnets: Functional Renormalization Group Approach in Auxiliary Fermion Representation, Dissertation, Südwestdeutscher Verlag für Hochschulschriften, ISBN 3838127315 (2011).
  2. J. Reuther, Die Popov-Fedotov-Methode für Hilfsfermionen: Anwendung auf magnetische und nicht-magnetische Phasen im Heisenberg-Modell, Diplomarbeit, Universität Karlsruhe (2007).

Conference Proceedings

  1. J. Reuther and P. Wölfle, A diagrammatic theory of the antiferromagnetic frustrated 2d Heisenberg model, J. Phys.: Conf. Ser. 200, 022051 (2010).