About me

I’m a computational materials theorist working on a broad range of topics in the field of materials with non-trivial topology: topological insulators, topological semimetals, and topological superconductors. My studies to date were mostly concentrated on non-interacting systems, well-described with density functional theory (DFT). However, at the present moment, I plan to move my research to the field of interacting topological materials. The main topics of the planned research are the development of numerical methods, aimed to simulate real materials with existing tensor network numerical approaches, and use these methods to find real materials that host topological order in the form of either Abelian or non-Abelian anyons or topological phases of interacting bosons.

At the moment I hold the SNSF Professor position at Physics Institute of the University of Zurich. I am also an associated senior researcher at St. Petersburg State University in St. Petersburg, Russia. Please contact me if you would like to join my group at the University of Zurich, or if you are currently a bachelor student at St Petersburg University looking for a Bachelor and Master thesis advisor.

Contact information


Research highlights

Lorentz-breaking Quasiparticles

We discovered several kinds of quasiparticles that exist in crystalline solids, but have no analogue in the standard model of relativistic elementary particles. The reason for this is the absence of Lorentz symmetry constraint in low energy condensed matter physics. We found Type-II Weyl semimetals, which realize type-II Weyl fermions, triple point topological semimetals, and non-symmorphic nodal loopsemimetals. This list is naturally continued by nodal-chain semimetals and nodal net superconductors. For all the mentioned topological semimetals we identified the existing materials that host these topological metallic phases.


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We discovered the type-II Weyl semimetal state, in which we identified transport phenomena that have never been reported for any oter material. Furthermore, the type-II chiral anomaly represents a completely new feature of the gauge anomalies known in relativistic field theories. The details can be found in these three papers:

Nature 527, 495-498 (2015), Phys. Rev. Lett. 117, 056805
Phys. Rev. Lett. 117, 066402


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We introduced novel topological phases of topological metals (non-symmorphic nodal loop, nodal-chain) and superconductors (nodal net), and found existing materials that realize these phases.

Nature 538, 75–78 (2016)


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We found and fully classified triple point topological semimetals that have non-trivial magnetoelectric response

Phys. Rev. X 6, 031003 (2016)
Phys. Rev. Lett. 117, 076403 (2016)


Collaborations with Experiment

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Using WannierTools (see below) we could predict the surface spectrum of type-II Weyl semimetals, measured in ARPES and STM experiments

Phys. Rev. X 6, 031021 (2016)
Phys. Rev. B 94, 121112 (2016), accepted to PRB


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We also work together with transport groups, studying the topological phases realized in quantum well heterostructures.

Phys. Rev. B 95, 115108 (2017)
Phys. Rev. B 94, 241402 (2016)


Numerical Tools

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We developed public software that allows any condensed matter practitioner to identify non-trivial topology of real materials. Z2Pack allows one to obtain the band structure topology automatically from either first-principles calculations, tight-binding or k.p models. The instructions to install the code are available on the Z2Pack website.

Phys. Rev. B 95, 075146


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Another public software package developed in our group is WannierTools. WannierTools allows one to construct the surface spectrum based on tight-binding models, and compare the predicted results to ARPES ans STM measurements. The details are provided in the following reference, and code is available in the following link: