Publication

(2021)

1. Pramod Kumar, Guangze Chen, and JL Lado, Kondo-lattice-mediated interactions in flat band systems, Phys. Rev. Research 3, 043113 (2021)

Summary-In this work, I combined network algorithms together with high-performance numerical algorithms to solve a new family of quantum materials, potential candidates for quantum computing technologies. We combined in-house developed numerical algorithms with network techniques, combining Fortran, C++, and Python languages, and deployed via a highly parallel implementation in the local supercomputer cluster at Aalto University. This work provided a starting point for my ongoing work on using neural-network machine learning algorithms for quantum materials design.

2. Pramod Kumar, Sebastiano Peotta, Yosuke Takasu, Yoshiro Takahashi, and Päivi Törmä, Flat-band-induced non- Fermi-liquid behavior of multicomponent fermions, Phys. Rev. A 103, L031301 (2021)

Summary: Our results also open a significant new area of research: non-Fermi liquid properties in multicomponent (higher spin) Fermi systems. The scaling relation that we derived is expected to become a cornerstone of this new research area. The scaling relation is based on a mean-field argument, and in our manuscript, we calculate numerically how beyond-mean-field effects change it. This exemplifies that SU(N) systems can reveal new physics inaccessible by other means: testing the scaling relation experimentally gives direct access to measuring beyond mean-field effects. The ability to realize and observe beyond mean-field effects is the essence of why quantum simulator systems, such as ultracold gases, can go beyond classical computers (which are of course capable of simulating mean-field physics).

(2019)

3. Pramod Kumar, T. I. Vanhala and P. Törmä, Magnetization, d-wave superconductivity and non-Fermi liquid behavior in a crossover from dispersive to flat bands, Phys. Rev. B 100, 125141 (2019)

(2018)

4. K-E. Huhtinen, M. Tylutki, Pramod Kumar, T .I. Vanhala, S. Peotta and P. Törmä, Spin-imbalance pairing and Fermi surface deformation in flat bands, Phys. Rev. B 97, 214503 (2018)

(2017)

5. Pramod Kumar, T. I. Vanhala and P. Törmä, Temperature and doping induced instabilities of the repulsive Hubbard model on the Lieb lattice, Phys. Rev. B 96, 245127 (2017)

(2016)

6. Pramod Kumar, T. Mertz and W. Hofstetter, Interaction-induced topological and magnetic phases in Hofstadter Hubbard model, Phys. Rev. B 94, 115161 (2016)

(2014)

7. Pramod Kumar and N. S. Vidhyadhiraja, Kondo-hole substitution in heavy fermions: Dynamics and transport. Phys. Rev. B 90, 235133 (2014)

8. Pramod Kumar and N. S. Vidhyadhiraja, Dynamics of valence fluctuations in the extended periodic Anderson model. Proceedings of the International Conference on Strongly Correlated Electron Systems (SCES2013), JPS Conf. Proc. 3, 012004 (2014)

(2013)

9. N. S. Vidhyadhiraja and Pramod Kumar, Non-Fermi liquid behaviour from dynamical effects of impurity scattering in correlated Fermi liquids, Phys. Rev. B 88, 195120 (2013)

(2011)

10. Pramod Kumar and N. S. Vidhyadhiraja, From mixed valence to the Kondo lattice regime, J. Phys. Condens. Matter 23, 485601 (2011).