115D
Broadly, my interests lie in studying the collective behavior of a statistically large number of particles in a setting where their quantum nature dominates the physics. Over the past few decades, it has been discovered that topology plays a fundamental and elegant role in determining several properties of quantum many-body wavefunctions. A key area of my work involves exploring topological phases and the transitions that may occur between them, with a particular emphasis on those directly relevant to experimental settings.
Additionally, I am interested in studying metals or gapless phases of matter in two-dimensions, especially those that go beyond conventional models like the free Fermi gas.
I currently have openings for PhD positions and research projects. Interested students are welcome to contact me.
Research Topics:
- Topological Phases and Phase Transitions
- Quantum Hall Physics
- Strongly Correlated and Disordered Systems
- Numerical Methods:
- Density-Matrix Rernormalization Group
- Exact Diagonalization
- Hartree-Fock
- Analytical Techniques:
- Quantum Field Theory
- Dualities in 2D
- A numerical study of bounds in the correlations of fractional quantum Hall states
Prashant Kumar, F. D. M. Haldane
SciPost Phys. 16, 117 (2024), arXiv:2304.14991 - Scaling of entanglement entropy at quantum critical points in random spin chains
Prashant Kumar, R. N. Bhatt
Phys. Rev. B 108, L241113 (2023), arXiv:2307.00062 - Neutral Excitations of Quantum Hall States: a Density Matrix Renormalization Group Study
Prashant Kumar, F. D. M. Haldane
Phys. Rev. B 106, 075116 (2022), arXiv:2112.02113 - Numerical Study of a Dual Representation of the Integer Quantum Hall Transition
Kevin S. Huang, S. Raghu, and Prashant Kumar
Phys. Rev. Lett. 126, 056802 (2021), arXiv:2009.07871 - Interaction effects on quantum Hall transitions: dynamical scaling laws and superuniversality
Prashant Kumar, P. A. Nosov, S. Raghu
Phys. Rev. Research 4, 033146 (2022), arXiv:2006.11862