Research in our group
In recent years, we have worked very actively on topological materials, whose band structures are characterized mathematically by topological invariants. These materials display interesting surface phenomena and can host emergent quantum particles like Majorana fermions. In particular, we have worked on the effect of electronic correlations and spin-orbit coupling on such materials.
A recurring theme have been quantum transport phenomena in various mesoscopic settings. In this domain, our group has experience with the description of charge or heat transport in systems such as nanowires, topological insulators, quantum dots, and graphene. Recently, we have explored how transport is affected by electronic correlations in nanowires and graphene.
In quantum mechanics, the description of many-particle systems in the presence of interactions is a hard problem which calls for highly specialized techniques. Our group performs mainly analytical calculations on simplified model systems using methods from quantum field theory. In addition to this, we often test these model predictions against numerical simulations.
References:
- Michelsen, Andreas Bock and Recher, Patrik and Braunecker, Bernd and Schmidt, Thomas L., Supercurrent-Enabled Andreev Reflection in a Chiral Quantum Hall Edge State, Physical Review Research 5, 013066 (2023)
- Teixeira, Raphael L. R. C. and Haller, Andreas and Singh, Roshni and Mathew, Amal and Idrisov, Edvin G. and Dias da Silva, Luis G. G. V. and Schmidt, Thomas L., Overlap of Parafermionic Zero Modes at a Finite Distance, Physical Review Research 4, 043094 (2022)
- Michelsen, Andreas B. and Schmidt, Thomas L. and Idrisov, Edvin G., Current Correlations of Cooper-Pair Tunneling into a Quantum Hall System, Phys. Rev. B 102, 125402 (2020)
- Schmidt, Thomas L., Bosonization for Fermions and Parafermions, Eur. Phys. J. Special Topics 229, 621 (2020)
- Groenendijk, Solofo and Calzona, Alessio and Tschirhart, Hugo and Idrisov, Edvin G. and Schmidt, Thomas L., Parafermion braiding in fractional quantum Hall edge states with a finite chemical potential, Phys. Rev. B 100, 205424 (2019)
- Alessio Calzona and Tobias Meng and Maura Sassetti and Thomas L. Schmidt, Z4 parafermions in one-dimensional fermionic lattices, Phys. Rev. B 98, 201110(R) (2018)
- Christopher J. Pedder and Tobias Meng and Rakesh Tiwari and Thomas L. Schmidt, Missing Shapiro steps and the $8π$-periodic Josephson effect in interacting helical electron systems, Phys. Rev. B 96, 165429 (2017)
References:
- Haller, Andreas and Groenendijk, Solofo and Habibi, Alireza and Michels, Andreas and Schmidt, Thomas L., Quantum Skyrmion Lattices in Heisenberg Ferromagnets, Physical Review Research 4, 043113 (2022)
- Tschirhart, Hugo and Ong, Ernest T. S. and Sengupta, Pinaki and Schmidt, Thomas L., Phase diagram of spin-1 chains with Dzyaloshinskii-Moriya interaction, Phys. Rev. B 100, 195111 (2019)
Funding:
- FNR CORE “Detecting Quantum Skyrmions” (DeQuSky).
- FNR AFR “Spin-orbit coupling in low-dimensional correlated materials” (SOCMAT).
References:
- Habibi, Alireza and Musthofa, Ahmad Z. and Adibi, Elaheh and Ekström, Johan and Schmidt, Thomas L. and Hasdeo, Eddwi H., Kerr and Faraday Rotations in Topological Flat and Dispersive Band Structures, New Journal of Physics 24, 063003 (2022)
- De Beule, Christophe and Groenendijk, Solofo and Meng, Tobias and Schmidt, Thomas L., Artificial Event Horizons in Weyl Semimetal Heterostructures and Their Non-Equilibrium Signatures, SciPost Phys. 11, 095 (2021)
- Farias, M. Belén and Groenendijk, Solofo and Schmidt, Thomas L., Generalized Chern Numbers Based on Open System Green’s Functions, New Journal of Physics 23, 073009 (2021)
- Kölzer, Jonas and Moors, Kristof and Jalil, Abdur Rehman and Zimmermann, Erik and Rosenbach, Daniel and Kibkalo, Lidia and Schüffelgen, Peter and Mussler, Gregor and Grützmacher, Detlev and Schmidt, Thomas L. and Lüth, Hans and Schäpers, Thomas, In-Plane Magnetic Field-Driven Symmetry Breaking in Topological Insulator-Based Three-Terminal Junctions, Commun. Mater. 2, 116 (2021)
Funding:
- QuantERA “Magnetic topological insulators for robust Majorana bound states” (MAGMA)
- FNR CORE “Detecting Quantum Skyrmions” (DeQuSky).