TM↑3 — Topological Matter and MetaMaterials
@uzh-topomat.bsky.social
Research group for "Theory of Topological Matter", based at the Physics Institute of the University of Zürich.
Expanded version of my Scientific Perspective article for the Swiss MaNEP network -- now also on arXiv!
I summarize selected recent developments on quantum geometry, unstable topology, and non-linear optics + made an extra effort to introduce the concept of bundle gerbes.
arxiv.org/abs/2511.20608
I summarize selected recent developments on quantum geometry, unstable topology, and non-linear optics + made an extra effort to introduce the concept of bundle gerbes.
arxiv.org/abs/2511.20608
November 26, 2025 at 10:09 AM
Expanded version of my Scientific Perspective article for the Swiss MaNEP network -- now also on arXiv!
I summarize selected recent developments on quantum geometry, unstable topology, and non-linear optics + made an extra effort to introduce the concept of bundle gerbes.
arxiv.org/abs/2511.20608
I summarize selected recent developments on quantum geometry, unstable topology, and non-linear optics + made an extra effort to introduce the concept of bundle gerbes.
arxiv.org/abs/2511.20608
[physics post]
Recent preprint alert:
arxiv.org/abs/2510.26528
Second part of our treatment of s-wave superconductivity in hyperbolic spaces, here covering finite and infinite Cayley trees, hyperbolic continuum, and BCS theory.
(Part one can is found here: arxiv.org/abs/2509.09330)
Recent preprint alert:
arxiv.org/abs/2510.26528
Second part of our treatment of s-wave superconductivity in hyperbolic spaces, here covering finite and infinite Cayley trees, hyperbolic continuum, and BCS theory.
(Part one can is found here: arxiv.org/abs/2509.09330)
November 25, 2025 at 2:18 PM
[physics post]
Recent preprint alert:
arxiv.org/abs/2510.26528
Second part of our treatment of s-wave superconductivity in hyperbolic spaces, here covering finite and infinite Cayley trees, hyperbolic continuum, and BCS theory.
(Part one can is found here: arxiv.org/abs/2509.09330)
Recent preprint alert:
arxiv.org/abs/2510.26528
Second part of our treatment of s-wave superconductivity in hyperbolic spaces, here covering finite and infinite Cayley trees, hyperbolic continuum, and BCS theory.
(Part one can is found here: arxiv.org/abs/2509.09330)
Reposted by TM↑3 — Topological Matter and MetaMaterials
From quantum geometry to non-linear optics, venturing along the way to multigap topology, shift currents, and gerbes.
I was invited to write a Scientific Perspective article for the newsletter of the Swiss MaNEP network, which just went online:
manep.ch/news/discove...
I was invited to write a Scientific Perspective article for the newsletter of the Swiss MaNEP network, which just went online:
manep.ch/news/discove...
From quantum geometry to non-linear optics: recent advances in topological band theory
By Tomáš Bzdušek, University of Zurich Topological principles constitute at present an integral component of condensed matter physics, deeply influencing the modern characterization of electronic…
manep.ch
October 10, 2025 at 10:43 AM
From quantum geometry to non-linear optics, venturing along the way to multigap topology, shift currents, and gerbes.
I was invited to write a Scientific Perspective article for the newsletter of the Swiss MaNEP network, which just went online:
manep.ch/news/discove...
I was invited to write a Scientific Perspective article for the newsletter of the Swiss MaNEP network, which just went online:
manep.ch/news/discove...
New preprint alert!
We show how Cayley-Schreier lattices allow realization of synthetic non-Abelian gauge fields with space group symmetry. The fluxes enforce projectively represented symmetries, with certain symmetry operators acquiring automorphism-valued "twists".
arxiv.org/abs/2509.25316
We show how Cayley-Schreier lattices allow realization of synthetic non-Abelian gauge fields with space group symmetry. The fluxes enforce projectively represented symmetries, with certain symmetry operators acquiring automorphism-valued "twists".
arxiv.org/abs/2509.25316
October 7, 2025 at 8:06 AM
New preprint alert!
We show how Cayley-Schreier lattices allow realization of synthetic non-Abelian gauge fields with space group symmetry. The fluxes enforce projectively represented symmetries, with certain symmetry operators acquiring automorphism-valued "twists".
arxiv.org/abs/2509.25316
We show how Cayley-Schreier lattices allow realization of synthetic non-Abelian gauge fields with space group symmetry. The fluxes enforce projectively represented symmetries, with certain symmetry operators acquiring automorphism-valued "twists".
arxiv.org/abs/2509.25316
Great experience hosting Wojciech Jankowski from Cambridge UK and Kang Yang from the Free University of Berlin. Both treated us with exciting talks within the scope of topological band theory!
September 17, 2025 at 5:14 PM
Great experience hosting Wojciech Jankowski from Cambridge UK and Kang Yang from the Free University of Berlin. Both treated us with exciting talks within the scope of topological band theory!
New preprint on arXiv:
First part of our treatment of s-wave superconductivity in hyperbolic spaces, here covering Cayley-tree approximations, exact diagonalization, and Ginzburg-Landau description. More to follow!
arxiv.org/abs/2509.09330
First part of our treatment of s-wave superconductivity in hyperbolic spaces, here covering Cayley-tree approximations, exact diagonalization, and Ginzburg-Landau description. More to follow!
arxiv.org/abs/2509.09330
September 12, 2025 at 1:52 PM
New preprint on arXiv:
First part of our treatment of s-wave superconductivity in hyperbolic spaces, here covering Cayley-tree approximations, exact diagonalization, and Ginzburg-Landau description. More to follow!
arxiv.org/abs/2509.09330
First part of our treatment of s-wave superconductivity in hyperbolic spaces, here covering Cayley-tree approximations, exact diagonalization, and Ginzburg-Landau description. More to follow!
arxiv.org/abs/2509.09330
The chief editor of Wolfram staff picks shared a collage of animations collected from our past and recent works on hyperbolic lattices!
www.linkedin.com/posts/kaurov...
Kudos to Patrick that he diligently keeps uploading Mathematica notebooks for our research papers to the Wolfram community!
www.linkedin.com/posts/kaurov...
Kudos to Patrick that he diligently keeps uploading Mathematica notebooks for our research papers to the Wolfram community!
September 9, 2025 at 6:46 AM
The chief editor of Wolfram staff picks shared a collage of animations collected from our past and recent works on hyperbolic lattices!
www.linkedin.com/posts/kaurov...
Kudos to Patrick that he diligently keeps uploading Mathematica notebooks for our research papers to the Wolfram community!
www.linkedin.com/posts/kaurov...
Kudos to Patrick that he diligently keeps uploading Mathematica notebooks for our research papers to the Wolfram community!
Reposted by TM↑3 — Topological Matter and MetaMaterials
Great experience hosting @ancurlija.bsky.social, who gave a beautiful Zurich Physics Colloquium on "Landau Level spectroscopy & topological materials" at ETH Zurich!
Here we are already enjoying the magnificent panoramic view at Die Waid after the event; in the company of Markus, Fabian, and Juraj.
Here we are already enjoying the magnificent panoramic view at Die Waid after the event; in the company of Markus, Fabian, and Juraj.
May 5, 2025 at 3:27 PM
Great experience hosting @ancurlija.bsky.social, who gave a beautiful Zurich Physics Colloquium on "Landau Level spectroscopy & topological materials" at ETH Zurich!
Here we are already enjoying the magnificent panoramic view at Die Waid after the event; in the company of Markus, Fabian, and Juraj.
Here we are already enjoying the magnificent panoramic view at Die Waid after the event; in the company of Markus, Fabian, and Juraj.
New preprint alert!
arxiv.org/abs/2504.13012
Non-Hermitian Hamiltonians exhibit exceptional points (EPs) at which eigenvectors of several energy bands coalesce and that are usually captured by integer winding number.
In our work, we use the Hopf map to construct EPs with discrete Z_n invariants.
arxiv.org/abs/2504.13012
Non-Hermitian Hamiltonians exhibit exceptional points (EPs) at which eigenvectors of several energy bands coalesce and that are usually captured by integer winding number.
In our work, we use the Hopf map to construct EPs with discrete Z_n invariants.
April 24, 2025 at 4:32 PM
New preprint alert!
arxiv.org/abs/2504.13012
Non-Hermitian Hamiltonians exhibit exceptional points (EPs) at which eigenvectors of several energy bands coalesce and that are usually captured by integer winding number.
In our work, we use the Hopf map to construct EPs with discrete Z_n invariants.
arxiv.org/abs/2504.13012
Non-Hermitian Hamiltonians exhibit exceptional points (EPs) at which eigenvectors of several energy bands coalesce and that are usually captured by integer winding number.
In our work, we use the Hopf map to construct EPs with discrete Z_n invariants.
New paper out!
tinyurl.com/22tzhgqg
We show that the generalization of the non-Hermitian Hatano-Nelson model to Cayley trees exhibits eigenstates with multifractal statistics.
This finding starkly contrasts with the absence of multifractal properties in analogous models in crystalline lattices.
tinyurl.com/22tzhgqg
We show that the generalization of the non-Hermitian Hatano-Nelson model to Cayley trees exhibits eigenstates with multifractal statistics.
This finding starkly contrasts with the absence of multifractal properties in analogous models in crystalline lattices.
March 6, 2025 at 9:17 AM
New paper out!
tinyurl.com/22tzhgqg
We show that the generalization of the non-Hermitian Hatano-Nelson model to Cayley trees exhibits eigenstates with multifractal statistics.
This finding starkly contrasts with the absence of multifractal properties in analogous models in crystalline lattices.
tinyurl.com/22tzhgqg
We show that the generalization of the non-Hermitian Hatano-Nelson model to Cayley trees exhibits eigenstates with multifractal statistics.
This finding starkly contrasts with the absence of multifractal properties in analogous models in crystalline lattices.
Reposted by TM↑3 — Topological Matter and MetaMaterials
Excited to host QuanSheng Wu during his visit to Zurich! We collaborated on only three papers together, but where did these get: 1x Nature, 1x Science, 1x Nature Physics. What a fruitful collaboration. QuanSheng, so great to have you back in Switzerland after 4 years!
January 16, 2025 at 3:13 PM
Excited to host QuanSheng Wu during his visit to Zurich! We collaborated on only three papers together, but where did these get: 1x Nature, 1x Science, 1x Nature Physics. What a fruitful collaboration. QuanSheng, so great to have you back in Switzerland after 4 years!
Excited to announce that the tandem packages HyperCells (for GAP) and HyperBloch (for Mathematica) for computing spectra of hyperbolic lattices are finally out!🥳
Check hypercells.net
Great amount of implementation by Patrick Lenggenhager & detailed tutorials by Marcelo Looser.
Check hypercells.net
Great amount of implementation by Patrick Lenggenhager & detailed tutorials by Marcelo Looser.
December 16, 2024 at 11:19 PM
Excited to announce that the tandem packages HyperCells (for GAP) and HyperBloch (for Mathematica) for computing spectra of hyperbolic lattices are finally out!🥳
Check hypercells.net
Great amount of implementation by Patrick Lenggenhager & detailed tutorials by Marcelo Looser.
Check hypercells.net
Great amount of implementation by Patrick Lenggenhager & detailed tutorials by Marcelo Looser.
Reposted by TM↑3 — Topological Matter and MetaMaterials
New achievement unlocked!
Very grateful to @apsphysics.bsky.social and to Physical Review X for this token of appreciation!
Very grateful to @apsphysics.bsky.social and to Physical Review X for this token of appreciation!
December 16, 2024 at 11:15 PM
New achievement unlocked!
Very grateful to @apsphysics.bsky.social and to Physical Review X for this token of appreciation!
Very grateful to @apsphysics.bsky.social and to Physical Review X for this token of appreciation!
Now transferring to BlueSkysome contents from our Twitter/X account!
[ x.com/UZH_TopoMat?... ]
Where else to start than with our research group's photo? Taken back in April 2024, from left to right you can see: Mykhailo, Aoxue, Marcelo, Tomáš, Askar and Zoltán.
[ x.com/UZH_TopoMat?... ]
Where else to start than with our research group's photo? Taken back in April 2024, from left to right you can see: Mykhailo, Aoxue, Marcelo, Tomáš, Askar and Zoltán.
December 16, 2024 at 11:11 PM
Now transferring to BlueSkysome contents from our Twitter/X account!
[ x.com/UZH_TopoMat?... ]
Where else to start than with our research group's photo? Taken back in April 2024, from left to right you can see: Mykhailo, Aoxue, Marcelo, Tomáš, Askar and Zoltán.
[ x.com/UZH_TopoMat?... ]
Where else to start than with our research group's photo? Taken back in April 2024, from left to right you can see: Mykhailo, Aoxue, Marcelo, Tomáš, Askar and Zoltán.