Research and Publications

Broad Research Area

I work in theoretical condensed matter physics, more specifically on strongly correlated fermionic systems. Strong correlation refers to interaction that cannot be expressed purely in terms of single-particle scattering. I am a part of the Emergent Phenomena and Quantum Matter (EPQM) group. The group’s work involves studying correlated fermionic and spin models and obtaining novel emergent states of matter such as superconductivity, non-Fermi liquids, etc.

More Specifically…

• Quantum impurity models and phase transitions within them, with particular emphasis on universal behaviour near Kondo breakdown, and non-Fermi liquid behaviour about such points.

• Using auxiliary models for studying emergence in lattice models of strong-correlation such as Hubbard-like models and lattice impurity models, focusing on metal-insulator transitions arising from repulsion.

• Topological properties and entanglement of gapless systems, particularly in the context of holography.

• Quantum hall systems and other topologically active states of matter.

Publications and Preprints

• Revealing the magnetic dimensional crossover in the Heisenberg ferromagnet CrSiTe$_3$ through picosecond strain pulses
  April, 2025. PRB 111, L140414. 
  Anjan Kumar N M, Soumya Mukherjee, Abhirup Mukherjee, Ajinkya Punjal, Shubham Purwar, Thirupathaiah Setti, Shriganesh Prabhu S., Siddhartha Lal, and N. Kamaraju

• Holographic entanglement renormalisation for fermionic quantum matter: geometrical and topological aspects
  June 2024. JPA: Math. Theor. 57 275401.  arXiv:2302.10590
  Abhirup Mukherjee, Siddhartha Patra, Siddhartha Lal

• Kondo frustration via charge fluctuations: a route to Mott localisation
  November 2023. NJP 25 113011.  arXiv:2302.02328
  Abhirup Mukherjee, N. S. Vidhyadhiraja, A. Taraphder, Siddhartha Lal

• Frustration shapes multi-channel Kondo physics: a star graph perspective
  May 2023. JPCM 35 315601.  arXiv:2205.00790
  Siddhartha Patra, Abhirup Mukherjee, Anirban Mukherjee, N. S. Vidhyadhiraja, A. Taraphder, Siddhartha Lal

• Unveiling the Kondo cloud: unitary RG study of the Kondo model
  February 2022. PRB 105, 085119.  arXiv:2111.10580
  Anirban Mukherjee, Abhirup Mukherjee, N. S. Vidhyadhiraja, A. Taraphder, Siddhartha Lal