Igor Boettcher

Assistant Professor
Department of Physics

Theoretical Physics Institute

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 (postdoctoral fellow)
  • Canon Sun (postdoctoral fellow)
  • Albion Arifi (PhD student)
  • Davidson Noby Joseph (MSc student)
  • Leyla Saraj (undergraduate student)
  • Connor Walsh (undergraduate student)
  • Mireia Tolosa Simeon (visitor)
  • Current and past group members


Theoretical Physics Institute Seminar

Condensed Matter Physics Seminar

High School Physics Talk

"Superconductors - Wonder Materials without Resistivity"


publications from the arXiv and Google Scholar
  1. "Simulating Holographic Conformal Field Theories on Hyperbolic Lattices"
    Dey, Chen, Basteiro, Fritzsche, Greiter, Kaminski, Lenggenhager, Meyer, Sorbello, Stegmaier, Thomale, Erdmenger, Boettcher
    Phys. Rev. Lett. in press, [arXiv:2404.03062]
  2. "Surface State Dissipation in Confined 3He-A"
    Shook, Varga, Boettcher, Davis
    Phys. Rev. Lett. 132, 156001 (2024), [arXiv:2310.00084]
  3. "Anderson localization transition in disordered hyperbolic lattices"
    Chen, Maciejko, Boettcher
    Phys. Rev. Lett. in press, [arXiv:2310.07978]
  4. "Superfluid phase transition of nanoscale-confined helium-3"
    Sun, Attar, Boettcher
    Phys. Rev. B 108, 144503 (2023), [arXiv:2307.08808]
  5. "Realizing efficient topological temporal pumping in electrical circuits"
    Stegmaier, Brand, Imhof, Fritzsche, Helbig, Hofmann, Boettcher, Greiter, Lee, Bahl, Szameit, Kiessling, Thomale, Upreti
    Phys. Rev. Research 6, 023010 (2024), [arXiv:2306.15434]
  6. "Symmetry and topology of hyperbolic Haldane models"
    Chen, Guan, Lenggenhager, Maciejko, Boettcher, Bzdušek
    Phys. Rev. B 108, 085114 (2023), [arXiv:2304.03273]
  7. "Hyperbolic matter in electrical circuits with tunable complex phases"
    Chen, Brand, Helbig, Hofmann, Imhof, Fritzsche, Kießling, Stegmaier, Upreti, Neupert, Bzdušek, Greiter, Thomale, Boettcher
    Nature Communications 14, 622 (2023), [arXiv:2205.05106]
  8. "Hyperbolic Topological Band Insulators"
    Urwyler, Lenggenhager, Boettcher, Thomale, Neupert, Bzdušek
    Phys. Rev. Lett. 129, 246402 (2022), [arXiv:2203.07292]
  9. "Selberg trace formula in hyperbolic band theory"
    Attar, Boettcher
    Phys. Rev. E 106, 034114 (2022), [arXiv:2201.06587]
  10. "Universality of Hofstadter butterflies on hyperbolic lattices"
    Stegmaier, Upreti, Thomale, Boettcher
    Phys. Rev. Lett. 128, 166402 (2022), [arXiv:2111.05779]
  11. "Simulating hyperbolic space on a circuit board"
    Lenggenhager, Stegmaier, Upreti, Hofmann, Helbig, Vollhardt, Greiter, Lee, Imhof, Brand, Kießling, Boettcher, Neupert, Thomale, Bzdušek
    Nature Communications 13, 4373 (2022), [arXiv:2109.01148]
  12. "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
  13. "Crystallography of hyperbolic lattices"
    Boettcher, Gorshkov, Kollár, Maciejko, Rayan, Thomale
    Phys. Rev. B 105, 125118 (2022), [arXiv:2105.01087]
    Editors' Suggestion
  14. "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]
  15. "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]
  16. "Optimal Measurement of Field Properties with Quantum Sensor Networks"
    Qian, Bringewatt, Boettcher, Bienias, Gorshkov
    Phys. Rev. A 103, L030601 (2021), [arXiv:2011.01259]
  17. "Infrared fixed points of higher-spin fermions in topological semimetals"
    Phys. Rev. B 102, 155104 (2020), [arXiv:2007.03740]
  18. "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]
  19. "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
  20. "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
  21. "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
  22. "Ground state of the three-dimensional BCS d-wave superconductor"
    Herbut, Boettcher, Mandal
    Phys. Rev. B 100, 104503 (2019), [arXiv:1907.05015]
  23. "Optical response of Luttinger semimetals in the normal and superconducting states"
    Phys. Rev. B 99, 125146 (2019), [arXiv:1812.07555]
  24. "Critical phenomena at the complex tensor ordering phase transition"
    Boettcher, Herbut
    Phys. Rev. B 97, 064504 (2018), [arXiv:1712.03981]
  25. "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
  26. "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
  27. "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
  28. "Quasi-long-range order in trapped two-dimensional Bose gases"
    Boettcher, Holzmann
    Phys. Rev. A 94, 011602(R) (2016), [arXiv:1605.00597]
    Rapid Communication
  29. "Dimensional crossover of nonrelativistic bosons"
    Lammers, Boettcher, Wetterich
    Phys. Rev. A 93, 063631 (2016), [arXiv:1603.02409]
  30. "Superconducting quantum criticality in three-dimensional Luttinger semimetals"
    Boettcher, Herbut
    Phys. Rev. B 93, 205138 (2016), [arXiv:1603.00031]
  31. "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
  32. "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
  33. "Scaling relations and multicritical phenomena from Functional Renormalization"
    Phys. Rev. E 91, 062112 (2015), [arXiv:1503.07817]
  34. "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
  35. "Sarma phase in relativistic and non-relativistic systems "
    Boettcher, Herbst, Pawlowski, Strodthoff, von Smekal, Wetterich
    Phys. Lett. B 742, 86 (2015), [arXiv:1409.5232]
  36. "Phase structure of spin-imbalanced unitary Fermi gases"
    Boettcher, Braun, Herbst, Pawlowski, Roscher, Wetterich
    Phys. Rev. A 91, 013610 (2015), [arXiv:1409.5070]
  37. "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]
  38. "Error estimates and specification parameters for functional renormalization"
    Schnoerr, Boettcher, Pawlowski, Wetterich
    Annals Phys. 334 (2013) 83-99, [arXiv:1301.4169]
  39. "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]
  40. "Ultracold atoms and the Functional Renormalization Group"
    Boettcher, Pawlowski, Diehl
    Nucl. Phys. B (Proc. Suppl.) 228 (2012) 63-135, [arXiv:1204.4394]
  41. "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