Research
My research focuses on developing advanced theoretical and computational methods to understand quantum many-body phenomena in condensed matter systems, with emphasis on electron-phonon interactions, superconductivity, and topological materials.
Current Research Projects
Beyond Migdal approximation in superconductivity: Developing first-order vertex corrections for electron-phonon interactions that go beyond the conventional Migdal approximation, enabling more accurate predictions of superconducting properties in high-Tc hydrides.
Related publications:
- S. B. Mishra, H. Mori, and E. R. Margine, “Electron-phonon vertex correction effect in superconducting H₃S,” npj Comput. Mater. (2025)
- S. B. Mishra and E. R. Margine, “Nonadiabatic and anharmonic effects in high-pressure H₃S and D₃S superconductors” (Under Review in Annalen der Physik)
- S. B. Mishra, E. T. Marcial, S. Debata, A. N. Kolmogorov, and E. R. Margine, “Stability-superconductivity map for compressed Na-intercalated graphite,” Phys. Rev. B 110, 174508 (2024)
Transport properties of topological materials: Investigating electron-phonon limited transport in Weyl semimetals, focusing on how Berry phase effects influence conductivity and anomalous transport phenomena, including machine learning approaches for transport prediction.
Related publications:
- Z. Liu, S. B. Mishra, J.-M. Lihm, S. Poncé, and E. R. Margine, “Phonon-limited carrier transport in the Weyl semimetal TaAs,” Phys. Rev. B 112, 104311 (2025)
- S. B. Mishra, Z. Liu, S. Tiwari, F. Giustino, and E. R. Margine, “Comparative study of phonon-limited carrier transport in the Weyl semimetal TaAs family” (Under Review in Phys. Rev. B)
Light-matter interactions and magnetism: Developing gauge-invariant theories for light-induced magnetic phenomena, particularly the inverse Faraday effect in metals, with applications to ultrafast magnetic switching.
Related publications:
- S. B. Mishra, “Inverse Faraday effect in 3d, 4d, and 5d transition metals,” Phys. Rev. B 111, 174413 (2025)
- V. Ortiz, S. B. Mishra, L. Vuong, S. Coh, and R. B. Wilson, “Transient Ellipsometry Measurements of the Specular Inverse Faraday Effect in Transition Metals,” Phys. Rev. Mater. 7, 125202 (2023)
- S. B. Mishra and S. Coh, “Spin contribution to the inverse Faraday effect of nonmagnetic metals,” Phys. Rev. B 107, 214432 (2023)
Research Themes
Quantum many-body theory: Developing advanced theoretical frameworks to capture non-adiabatic effects and vertex corrections in strongly coupled electron-phonon systems. Investigating unconventional superconducting mechanisms in high-Tc materials and the interplay between electron correlations and phonon dynamics.
Machine learning for materials physics: Integrating machine learning with first-principles calculations to accelerate materials discovery, developing neural network potentials for electron-phonon coupling, and using data-driven approaches for predicting superconducting properties.
Topological quantum matter: Studying transport properties of Weyl and Dirac semimetals, topological superconductivity, and quantum anomalous Hall effect in magnetic topological insulators.
Computational materials design: Designing novel 2D materials and heterostructures for electronic and energy applications, including battery materials, photocatalysis, and surface chemistry using first-principles methods.
Code Development
- EPW (Electron-Phonon Wannier): Developer team member implementing vertex corrections and advanced electron-phonon coupling calculations, enabling beyond-Migdal calculations for the broader community.
Collaborations
SUNY Binghamton (Prof. Roxana Margine): Beyond-Migdal electron-phonon theory and superconductivity
UC Riverside (Prof. Sinisa Coh): Light-matter interactions and inverse Faraday effect
IIT Madras (Prof. B. R. K. Nanda): 2D materials and energy applications
International: EPW code development with global computational physics community