Igor Boettcher

Assistant Professor

Department of Physics
University of Alberta
Edmonton, AB T6G 2E1

Office: CCIS 3-193
E-Mail: iboettch (at) ualberta.ca


Research Interests

(click to expand)
summaries of selected articles for non-scientists


  • Igor Boettcher (head of group)
  • Anffany Chen (Avadh Bhatia postdoctoral fellow)
  • Canon Sun (postdoctoral fellow, jointly with Joseph Maciejko)
  • Adil Attar (MSc student)
  • Davidson Noby Joseph (undergraduate student)
  • Kyle Turpin (undergraduate student)


Condensed Matter Physics Lunch Seminar


publications from the arXiv and Google Scholar
  1. "Hyperbolic Matter in Electrical Circuits with Tunable Complex Phases"
    Chen, Brand, Helbig, Hofmann, Imhof, Fritzsche, Kießling, Stegmaier, Upreti, Neupert, Bzdušek, Greiter, Thomale, Boettcher
  2. "Hyperbolic topological band insulators"
    Urwyler, Lenggenhager, Boettcher, Thomale, Neupert, Bzdušek
  3. "Selberg trace formula and hyperbolic band theory"
    Attar, Boettcher
  4. "Universality of Hofstadter butterflies on hyperbolic lattices"
    Stegmaier, Upreti, Thomale, Boettcher
    Phys. Rev. Lett. 128, 166402 (2022), [arXiv:2111.05779]
  5. "Electric-circuit realization of a hyperbolic drum"
    Lenggenhager, Stegmaier, Upreti, Hofmann, Helbig, Vollhardt, Greiter, Lee, Imhof, Brand, Kießling, Boettcher, Neupert, Thomale, Bzdušek
  6. "Circuit Quantum Electrodynamics in Hyperbolic Space: From Photon Bound States to Frustrated Spin Models"
    Bienias, Boettcher, Belyansky, Kollár, Gorshkov
    Phys. Rev. Lett. 128, 013601 (2022), [arXiv:2105.06490]
    Press release JQI News
  7. "Crystallography of hyperbolic lattices"
    Boettcher, Gorshkov, Kollár, Maciejko, Rayan, Thomale
    Phys. Rev. B 105, 125118 (2022), [arXiv:2105.01087]
    Editors' Suggestion
  8. "Protocols for estimating multiple functions with quantum sensor networks: geometry and performance"
    Bringewatt, Boettcher, Niroula, Bienias, Gorshkov
    Phys. Rev. Research 3, 033011 (2021), [arXiv:2104.09540]
  9. "Topological defect engineering and PT-symmetry in non-Hermitian electrical circuits"
    Stegmaier, Imhof, Helbig, Hofmann, Lee, Kremer, Fritzsche, Feichtner, Klembt, Hoefling, Boettcher, Fulga, Schmidt, Greiter, Kiessling, Szameit, Thomale
    Phys. Rev. Lett. 126, 215302 (2021), [arXiv:2011.14836]
  10. "Optimal Measurement of Field Properties with Quantum Sensor Networks"
    Qian, Bringewatt, Boettcher, Bienias, Gorshkov
    Phys. Rev. A 103, L030601 (2021), [arXiv:2011.01259]
  11. "Infrared fixed points of higher-spin fermions in topological semimetals"
    Phys. Rev. B 102, 155104 (2020), [arXiv:2007.03740]
  12. "Critical theory for the breakdown of photon blockade"
    Curtis, Boettcher, Young, Maghrebi, Carmichael, Gorshkov, Foss-Feig
    Phys. Rev. Research 3, 023062 (2021), [arXiv:2006.05593]
  13. "d-wave superconductivity and Bogoliubov-Fermi surfaces in Rarita-Schwinger-Weyl semimetals"
    Link, Boettcher, Herbut
    Phys. Rev. B 101, 184503 (2020), [arXiv:2001.09224]
    Editors' Suggestion
  14. "Quantum Simulation of Hyperbolic Space with Circuit Quantum Electrodynamics: From Graphs to Geometry"
    Boettcher, Bienias, Belyanksy, Kollár, Gorshkov
    Phys. Rev. A 102, 032208 (2020), [arXiv:1910.12318]
    Editors' Suggestion
    Featured in Physics, Press release JQI News
  15. "Interplay of topology and electron-electron interactions in Rarita-Schwinger-Weyl semimetals"
    Phys. Rev. Lett. 124, 127602 (2020), [arXiv:1907.05354]
    On the Cover
    Press release JQI News
  16. "Ground state of the three-dimensional BCS d-wave superconductor"
    Herbut, Boettcher, Mandal
    Phys. Rev. B 100, 104503 (2019), [arXiv:1907.05015]
  17. "Optical response of Luttinger semimetals in the normal and superconducting states"
    Phys. Rev. B 99, 125146 (2019), [arXiv:1812.07555]
  18. "Critical phenomena at the complex tensor ordering phase transition"
    Boettcher, Herbut
    Phys. Rev. B 97, 064504 (2018), [arXiv:1712.03981]
  19. "Unconventional Superconductivity in Luttinger Semimetals: Theory of Complex Tensor Order and the Emergence of the Uniaxial Nematic State"
    Boettcher, Herbut
    Phys. Rev. Lett. 120, 057002 (2018), [arXiv:1707.03444]
    Press release Simon Fraser University
  20. "High temperature pairing in a strongly interacting two-dimensional Fermi gas"
    Murthy, Neidig, Klemt, Bayha, Boettcher, Enss, Holten, Zürn, Preiss, Jochim
    Science 359, 452 (2018), [arXiv:1705.10577]
    Press release Heidelberg University
  21. "Anisotropy induces non-Fermi-liquid behavior and nematic magnetic order in three-dimensional Luttinger semimetals"
    Boettcher, Herbut
    Phys. Rev. B 95, 075149 (2017), [arXiv:1611.05904]
    Editors' Suggestion
  22. "Quasi-long-range order in trapped two-dimensional Bose gases"
    Boettcher, Holzmann
    Phys. Rev. A 94, 011602(R) (2016), [arXiv:1605.00597]
    Rapid Communication
  23. "Dimensional crossover of nonrelativistic bosons"
    Lammers, Boettcher, Wetterich
    Phys. Rev. A 93, 063631 (2016), [arXiv:1603.02409]
  24. "Superconducting quantum criticality in three-dimensional Luttinger semimetals"
    Boettcher, Herbut
    Phys. Rev. B 93, 205138 (2016), [arXiv:1603.00031]
  25. "Equation of State of Ultracold Fermions in the 2D BEC-BCS Crossover Region"
    Boettcher, Bayha, Kedar, Murthy, Neidig, Ries, Wenz, Zürn, Jochim, Enss
    Phys. Rev. Lett. 116, 045303 (2016), [arXiv:1509.03610]
    Editors' Suggestion
    Featured in Physics, Press release Heidelberg University
  26. "Observation of the Berezinskii-Kosterlitz-Thouless Phase Transition in an Ultracold Fermi Gas"
    Murthy, Boettcher, Bayha, Holzmann, Kedar, Neidig, Ries, Wenz, Zürn, Jochim
    Phys. Rev. Lett. 115, 010401 (2015), [arXiv:1505.02123]
    Editors' Suggestion
  27. "Scaling relations and multicritical phenomena from Functional Renormalization"
    Phys. Rev. E 91, 062112 (2015), [arXiv:1503.07817]
  28. "Observation of Pair Condensation in the Quasi-2D BEC-BCS Crossover"
    Ries, Wenz, Zürn, Bayha, Boettcher, Kedar, Murthy, Neidig, Lompe, Jochim
    Phys. Rev. Lett. 114, 230401 (2015), [arXiv:1409.5373]
    Editors' Suggestion
    Featured in Physics, Press release Heidelberg University
  29. "Sarma phase in relativistic and non-relativistic systems "
    Boettcher, Herbst, Pawlowski, Strodthoff, von Smekal, Wetterich
    Phys. Lett. B 742, 86 (2015), [arXiv:1409.5232]
  30. "Phase structure of spin-imbalanced unitary Fermi gases"
    Boettcher, Braun, Herbst, Pawlowski, Roscher, Wetterich
    Phys. Rev. A 91, 013610 (2015), [arXiv:1409.5070]
  31. "Critical temperature and superfluid gap of the Unitary Fermi Gas from Functional Renormalization"
    Boettcher, Pawlowski, Wetterich
    Phys. Rev. A 89, 053630 (2014), [arXiv:1312.0505]
  32. "Error estimates and specification parameters for functional renormalization"
    Schnoerr, Boettcher, Pawlowski, Wetterich
    Annals Phys. 334 (2013) 83-99, [arXiv:1301.4169]
  33. "Tan contact and universal high momentum behavior of the fermion propagator in the BCS-BEC crossover"
    Boettcher, Diehl, Pawlowski, Wetterich
    Phys. Rev. A 87, 023606 (2013), [arXiv:1209.5641]
  34. "Ultracold atoms and the Functional Renormalization Group"
    Boettcher, Pawlowski, Diehl
    Nucl. Phys. B (Proc. Suppl.) 228 (2012) 63-135, [arXiv:1204.4394]
  35. "Hydrodynamic collective modes for cold trapped gases"
    Boettcher, Floerchinger, Wetterich
    J. Phys. B: At. Mol. Opt. Phys. 44 (2011) 235301, [arXiv:1103.5342]
summaries of selected articles for non-scientists


  • Doctoral thesis "Dimensional BCS-BEC crossover in ultracold Fermi gases" (Heidelberg University, 2014) under the supervision of C. Wetterich
  • Diploma thesis "Precision observables for ultracold quantum gases" (Heidelberg University, 2011) under the supervision of C. Wetterich


  • Otto-Haxel-Prize 2011 for the diploma thesis "Precision observables for ultracold quantum gases", awarded by the Faculty of Physics and Astronomy, Heidelberg University

Past Teaching

  • Exercises for Theoretical Physics III for Teachers (Heidelberg, SS 15)
  • Tutorial on Electrodynamics Seminar (Heidelberg, WS 12)
  • Exercises for Statistical Mechanics (Heidelberg, WS 11/12)
  • Tutorial on Quantum Mechanics (Heidelberg, SS 11)
  • Tutorial on Quantum Mechanics (Heidelberg, SS 10)
  • Tutorial on Statistical Mechanics (Heidelberg, WS 09/10)
  • Tutorial on Quantum Mechanics (Heidelberg, SS 09)
  • Tutorial on Electrodynamics (Heidelberg, WS 08/09)