Research Interests

A good part of my work in grad school was focused on modelling and characterizing exotic states of matter called topological superconductors. For starters, a superconductor is material that, in addition to having other intriguing features, allows electric current to flow through without resistance. Since their discovery in 1911, a number of materials, including common place metals aluminium and lead, have been shown to become superconducting when cooled to very low temperatures. Over the past two decades, a special class of superconductors called topological superconductors have garnered academic interest because of their relevance for quantum computation. Building on recent experimental innovations, we proposed conceptually new ways to engineer topological states by assembling individual constituents in a specific manner, much like in a Lego. Collaborating with experimentalists has been an exciting aspect of the job.

Publications

• ‘Hyperbolic non-Abelian semimetal’
  T Tummuru, A Chen, PM Lenggenhager, T Neupert, J Maciejko, T Bzdušek, [arXiv]

• ‘Josephson diode effects in twisted nodal superconductors’
  PA Volkov, E Lantagne-Hurtubise, T Tummuru, JH Pixley, S Plugge, M Franz, [arXiv]

• ‘Incoherent tunneling and topological superconductivity in twisted cuprate bilayers’
  R Haenel, T Tummuru and M Franz, Physical Review B 106, 104505 (2022) [arXiv]

• ‘Twisted multilayer nodal superconductors’
  T Tummuru, E Lantagne-Hurtubise and M Franz, Physical Review B 106, 014520 (2022) [arXiv]

• ‘Josephson effects in twisted cuprate bilayers’
  T Tummuru, S Plugge and M Franz, Physical Review B 105, 064501 (2022) [arXiv]

• ‘Emergent Interfacial Superconductivity between twisted cuprate superconductors’
  SY Zhao, N Poccia, X Cui, PA Volkov, H Yoo, R Engelke, Y Ronen, R Zhong, G Gu, S Plugge, T Tummuru, M Franz, J Pixley and P Kim, [arXiv]

• ‘High-temperature topological superconductivity in twisted double-layer copper oxides’
  O Can, T Tummuru, R Day, I Elfimov, A Damascelli and M Franz, Nature Physics 17, 519 (2021) [arXiv]

• ‘Chiral p-wave superconductivity in a twisted array of proximitized quantum wires’
  T Tummuru, O Can and M Franz, Physical Review B 103, L100501 (2021) [arXiv]

• ‘Triangular lattice Majorana-Hubbard model: Mean-field theory and DMRG on a width-4 torus’
  T Tummuru, A Nocera and I Affleck, Physical Review B 103, 115128 (2021) [arXiv]

• ‘Phase diagram of the spin-1/2 Kitaev- Gamma chain and emergent SU(2) symmetry’
  W Yang, A Nocera, T Tummuru, H-Y Kee and I Affleck, Physical Review Letters 124, 147205 (2020) [arXiv]

• ‘Truncated Calogero-Sutherland models on a circle’
  T Tummuru, S Jain and A Khare, Physics Letters A 381, 47 (2017) [arXiv]

• ‘Branched Hamiltonians for a class of velocity dependent potentials’
  B Bagchi, S Kamil, T Tummuru, I Semoradova and M Znojil, Journal of Physics: Conf. Series 839, 012011 (2017) [arXiv]