Publications — Bzdušek Group
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2026
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2025
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2024
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2023
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2022
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2021
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Hopf Exceptional Points
T. Yoshida, E. J. Bergholtz, and T. Bzdušek
SciPost Phys. 20, 001 (2026) (arXiv:2504.13012)
From quantum geometry to non-linear optics and gerbes: Recent advances in topological band theory
T. Bzdušek
arXiv:2511.20608
Topological states and flat bands in exactly solvable decorated Cayley trees
W. P. Duss, A. A. Iliasov, T. Bzdušek
arXiv:2511.11261
Superconductivity in hyperbolic spaces: Cayley trees, hyperbolic continuum, and BCS theory
M. Pavliuk, T. Bzdušek, A. A. Iliasov
arXiv:2510.26528
Topological non-Abelian Gauge Structures in Cayley-Schreier Lattices
Z. Guba, R.-J. Slager, L.K. Upreti, T. Bzdušek
arXiv:2509.25316
Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory
V. Bashmakov, A. Iliasov, T. Bzdušek, A. A. Bagrov
arXiv:2509.09330
Hyperbolic Spin Liquids
P. M. Lenggenhager, S. Dey, T. Bzdušek, and J. Maciejko
Phys. Rev. Lett. 135, 076604 (2025) (arXiv:2407.09601)
Delicate Wannier insulators
Z. Guba, A. Alexandradinata, and T. Bzdušek
arXiv:2506.05179
Multifractal statistics of non-Hermitian skin effect on the Cayley tree
S. Hamanaka, A. A. Iliasov, T. Neupert, T. Bzdušek, and T. Yoshida
Phys. Rev. B 111, 075162 (2025) (arXiv:2408.11024)
Topological linear response of hyperbolic Chern insulators
C. Sun, A. Chen, T. Bzdušek, and J. Maciejko
SciPost Phys. 17, 124 (2024) (arXiv:2406.08388)
Simulating Holographic Conformal Field Theories on Hyperbolic Lattices
S. Dey, A. Chen, P. Basteiro, A. Fritzsche, M. Greiter, M. Kaminski, P. M. Lenggenhager, R. Meyer, R. Sorbello, A. Stegmaier, R. Thomale, J. Erdmenger, and I. Boettcher
Phys. Rev. Lett. 133, 061603 (2024) (arXiv:2404.03062)
Wave functions in the critical phase: A planar Sierpiński fractal lattice
Q. Yao, X. Yang, A. A. Iliasov, M. I. Katsnelson, and S. Yuan
Phys. Rev. B 110, 035403 (2024) (arXiv:2406.16130)
Hyperbolic non-Abelian semimetal
T. Tummuru, A. Chen, P. M. Lenggenhager, T. Neupert, J. Maciejko, and T. Bzdušek
Phys. Rev. Lett. 132, 206601 (2024) (arXiv:2307.09876)
Non-Abelian hyperbolic band theory from supercells
P. M. Lenggenhager, J. Maciejko, and T. Bzdušek
Phys. Rev. Lett. 131, 226401 (2023) (arXiv:2305.04945)
Symmetry and topology of hyperbolic Haldane models
A. Chen, Y. Guan, P. M. Lenggenhager, J. Maciejko, I. Boettcher, and T. Bzdušek
Phys. Rev. B 108, 085114 (2023) (arXiv:2304.03273)
Hyperbolic matter in electrical circuits with tunable complex phases
A. Chen, H. Brand, T. Helbig, T. Hofmann, S. Imhof, A. Fritzsche, T. Kießling, A. Stegmaier, L. K. Upreti, T. Neupert, T. Bzdušek, M. Greiter, R. Thomale, and I. Boettcher
Nat. Commun. 14, 622 (2023) (arXiv:2205.05106)
Hyperbolic Topological Band Insulators
D. M. Urwyler, P. M. Lenggenhager, I. Boettcher, R. Thomale, T. Neupert, and T. Bzdušek
Phys. Rev. Lett. 129, 246402 (2022) (arXiv:2203.07292)
Flat bands and band touching from real-space topology in hyperbolic lattices
T. Bzdušek and J. Maciejko
Phys. Rev. B 106, 155146 (2022) (Editors' Suggestion) (arXiv:2205.11571)
Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
S.-B. Zhang, M. M. Denner, T. Bzdušek, M. A. Sentef, and T. Neupert
Phys. Rev. B 106, L121102 (2022) (arXiv:2201.12653)
Universal higher-order bulk-boundary correspondence of triple nodal points
P. M. Lenggenhager, X. Liu, T. Neupert, and T. Bzdušek
Phys. Rev. B 106, 085129 (2022) (arXiv:2104.11254)
Triple nodal points characterized by their nodal-line structure in all magnetic space groups
P. M. Lenggenhager, X. Liu, T. Neupert, and T. Bzdušek
Phys. Rev. B 106, 085128 (2022) (Editors' Suggestion) (arXiv:2201.08404)
Delicate topology protected by rotation symmetry: Crystalline Hopf insulators and beyond
A. Nelson, T. Neupert, A. Alexandradinata, and Tomáš Bzdušek
Phys. Rev. B 106, 075124 (2022) (Editors' Suggestion) (arXiv:2111.09365)
Simulating hyperbolic space on a circuit board
P. M. Lenggenhager, A. Stegmaier, L. K. Upreti, T. Hofmann, T. Helbig, A. Vollhardt, M. Greiter, C. H. Lee, S. Imhof, H. Brand, T. Kießling, I. Boettcher, T. Neupert, R. Thomale, and T. Bzdušek
Nat. Commun. 13, 4373 (2022) (arXiv:2109.01148)
Exceptional Topological Insulators
M. M. Denner, A. Skurativska, F. Schindler, M. H. Fischer, R. Thomale, T. Bzdušek, and T. Neupert
Nat. Commun. 12, 5681 (2021) (arXiv:2008.01090)
Multicellularity of delicate topological insulators
A. Nelson, T. Neupert, T. Bzdušek, A. Alexandradinata
Phys. Rev. Lett. 126, 216404 (2021) (arXiv:2009.01863)
From triple-point materials to multiband nodal links
P. M. Lenggenhager, X. Liu, S. S. Tsirkin, T. Neupert, T. Bzdušek
Phys. Rev. B 103, L121101 (2021) (Erratum) (arXiv:2008.02807)
2026
Hopf Exceptional Points
T. Yoshida, E. J. Bergholtz, and T. Bzdušek
SciPost Phys. 20, 001 (2026) (arXiv:2504.13012)
2025
From quantum geometry to non-linear optics and gerbes: Recent advances in topological band theory
T. Bzdušek
arXiv:2511.20608
Topological states and flat bands in exactly solvable decorated Cayley trees
W. P. Duss, A. A. Iliasov, T. Bzdušek
arXiv:2511.11261
Superconductivity in hyperbolic spaces: Cayley trees, hyperbolic continuum, and BCS theory
M. Pavliuk, T. Bzdušek, A. A. Iliasov
arXiv:2510.26528
Topological non-Abelian Gauge Structures in Cayley-Schreier Lattices
Z. Guba, R.-J. Slager, L.K. Upreti, T. Bzdušek
arXiv:2509.25316
Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory
V. Bashmakov, A. Iliasov, T. Bzdušek, A. A. Bagrov
arXiv:2509.09330
Hyperbolic Spin Liquids
P. M. Lenggenhager, S. Dey, T. Bzdušek, and J. Maciejko
Phys. Rev. Lett. 135, 076604 (2025) (arXiv:2407.09601)
Delicate Wannier insulators
Z. Guba, A. Alexandradinata, and T. Bzdušek
arXiv:2506.05179
Multifractal statistics of non-Hermitian skin effect on the Cayley tree
S. Hamanaka, A. A. Iliasov, T. Neupert, T. Bzdušek, and T. Yoshida
Phys. Rev. B 111, 075162 (2025) (arXiv:2408.11024)
2024
Topological linear response of hyperbolic Chern insulators
C. Sun, A. Chen, T. Bzdušek, and J. Maciejko
SciPost Phys. 17, 124 (2024) (arXiv:2406.08388)
Simulating Holographic Conformal Field Theories on Hyperbolic Lattices
S. Dey, A. Chen, P. Basteiro, A. Fritzsche, M. Greiter, M. Kaminski, P. M. Lenggenhager, R. Meyer, R. Sorbello, A. Stegmaier, R. Thomale, J. Erdmenger, and I. Boettcher
Phys. Rev. Lett. 133, 061603 (2024) (arXiv:2404.03062)
Wave functions in the critical phase: A planar Sierpiński fractal lattice
Q. Yao, X. Yang, A. A. Iliasov, M. I. Katsnelson, and S. Yuan
Phys. Rev. B 110, 035403 (2024) (arXiv:2406.16130)
Hyperbolic non-Abelian semimetal
T. Tummuru, A. Chen, P. M. Lenggenhager, T. Neupert, J. Maciejko, and T. Bzdušek
Phys. Rev. Lett. 132, 206601 (2024) (arXiv:2307.09876)
2023
Non-Abelian hyperbolic band theory from supercells
P. M. Lenggenhager, J. Maciejko, and T. Bzdušek
Phys. Rev. Lett. 131, 226401 (2023) (arXiv:2305.04945)
Symmetry and topology of hyperbolic Haldane models
A. Chen, Y. Guan, P. M. Lenggenhager, J. Maciejko, I. Boettcher, and T. Bzdušek
Phys. Rev. B 108, 085114 (2023) (arXiv:2304.03273)
Hyperbolic matter in electrical circuits with tunable complex phases
A. Chen, H. Brand, T. Helbig, T. Hofmann, S. Imhof, A. Fritzsche, T. Kießling, A. Stegmaier, L. K. Upreti, T. Neupert, T. Bzdušek, M. Greiter, R. Thomale, and I. Boettcher
Nat. Commun. 14, 622 (2023) (arXiv:2205.05106)
2022
Hyperbolic Topological Band Insulators
D. M. Urwyler, P. M. Lenggenhager, I. Boettcher, R. Thomale, T. Neupert, and T. Bzdušek
Phys. Rev. Lett. 129, 246402 (2022) (arXiv:2203.07292)
Flat bands and band touching from real-space topology in hyperbolic lattices
T. Bzdušek and J. Maciejko
Phys. Rev. B 106, 155146 (2022) (Editors' Suggestion) (arXiv:2205.11571)
Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
S.-B. Zhang, M. M. Denner, T. Bzdušek, M. A. Sentef, and T. Neupert
Phys. Rev. B 106, L121102 (2022) (arXiv:2201.12653)
Universal higher-order bulk-boundary correspondence of triple nodal points
P. M. Lenggenhager, X. Liu, T. Neupert, and T. Bzdušek
Phys. Rev. B 106, 085129 (2022) (arXiv:2104.11254)
Triple nodal points characterized by their nodal-line structure in all magnetic space groups
P. M. Lenggenhager, X. Liu, T. Neupert, and T. Bzdušek
Phys. Rev. B 106, 085128 (2022) (Editors' Suggestion) (arXiv:2201.08404)
Delicate topology protected by rotation symmetry: Crystalline Hopf insulators and beyond
A. Nelson, T. Neupert, A. Alexandradinata, and Tomáš Bzdušek
Phys. Rev. B 106, 075124 (2022) (Editors' Suggestion) (arXiv:2111.09365)
Simulating hyperbolic space on a circuit board
P. M. Lenggenhager, A. Stegmaier, L. K. Upreti, T. Hofmann, T. Helbig, A. Vollhardt, M. Greiter, C. H. Lee, S. Imhof, H. Brand, T. Kießling, I. Boettcher, T. Neupert, R. Thomale, and T. Bzdušek
Nat. Commun. 13, 4373 (2022) (arXiv:2109.01148)
2021
Exceptional Topological Insulators
M. M. Denner, A. Skurativska, F. Schindler, M. H. Fischer, R. Thomale, T. Bzdušek, and T. Neupert
Nat. Commun. 12, 5681 (2021) (arXiv:2008.01090)
Multicellularity of delicate topological insulators
A. Nelson, T. Neupert, T. Bzdušek, A. Alexandradinata
Phys. Rev. Lett. 126, 216404 (2021) (arXiv:2009.01863)
From triple-point materials to multiband nodal links
P. M. Lenggenhager, X. Liu, S. S. Tsirkin, T. Neupert, T. Bzdušek
Phys. Rev. B 103, L121101 (2021) (Erratum) (arXiv:2008.02807)