The condensed matter group is mainly involved in studies on quantum matter. This includes modelling of materials, ab-initio computations and mesoscopic systems. Other interests include non-linear dynamics and statistical physics.





Journal Club Talks



  • Madhuparna Karmakar (IMSC, Chennai) : 7th December 2017, Vortex-core order and field driven supersolidity.
  • Saurabh Pradhan (Uppsala University, Sweden) : 22nd November 2017, Slave-boson approach to magnetic impurities in superconductors.

Recent Talks

Group talk

  • Samrat kadge(HRI, Allahabad): 29th January 2018, Competition and coexistence of antiferromagnetism and d-wave superconductivity.
  • Suman Jyoti De (HRI, Allahabad): 20th December 2017, Inelastic Neutron Scattering Experiment on Manganites to see the polaronic effect on acoustic phonon spectrum on bilayer-manganites.
  • Priyanka Mohan (HRI, Allahabad): 16th August 2016, Shining light on spin-orbit coupling: A Brillouin-Wigner approach
  • Abhishek Joshi (HRI, Allahabad): 29th July 2016, Phase fluctuation theory of Superfluid Mott problem in bose systems
  • Arijit Dutta (HRI, Allahabad): 27th July 2016, Spin-orbit coupled bosons in a lattice


  • Vivek Mishra (Oak Ridge, USA): 05th Oct 2017, Case of FeSe: Nematicity and high-temperature superconductivity.
  • Dr. Moitri Maiti (Dubna, Russia): 09 Feb 2017, Dynamical response of unconventional Josephson junctions
  • Pragati Chaturvedi (IIT, Mumbai) :20 Oct 2016, Topological Insulators : Growth, Characterization and Device Fabrication
  • General interest seminar on Bridging the Science Achievement Gap in Indian Classrooms: Lessons from Field Experiments by Abhilash Mishra (California Institute of Technology) March 17, 2016
  • Sumilan Banerjee (Weizmann Institute of Science, Israel): 03 Feb 2016, Chiral magnetism, skyrmions and nanoscale superparamagnetism in oxide interfaces


  • Sanjay Puri (JNU Delhi): 17th Nov 2017, Pattern Formation in the Kinetics of Phase Transitions.
  • Dr. Vivek Mishra (Oak Ridge National Lab): 06th Oct 2017, Pairing in cuprates: signatures of a non-BCS paradigm.
  • Manoj Harbola (IIT Kanpur): 31st Mar 2017, Density functional theory: fundamentals and applications.

A more complete list of activities can be found here


Members of this group are involved in research primarily in three subfields:

Materials Theory

Correlated Systems

Correlated systems involve quantum matter where inter-particle interactions dictate physical properties. These include d and f electron materials, and artificially engineered cold atomic gases. Phenomena of interest include exotic magnetism, superconductivity, metal-insulator transitions, and unusual effects of disorder. The understanding of these materials is built on quantum many body theory and the use of advanced computational tools.

First-principle Studies of Materials

First principles studies of materials involve solving the many-electron interacting SchrC6ndinger equation. Hatree-Fock approximation and post-HF methods along with the density functional theory (DFT) form the canonical approach to such problems. But in the recent years other approaches, such as quantum Monte Carlo (QMC), have also emerged as alternatives for more accurate solutions to such problems. Methods have also been developed to include effects such as the strong electron-electron interactions on the d and f atomic orbitals of the transition metal atoms, and dispersion interactions, that traditional functionals within DFT cannot take care of. Our approach at HRI combines these methods depending on the complexity of the problem and the questions being asked.

In the recent years, our main focus has been on understanding properties of small atomic clusters, and identifying possible magnetic superatoms. We have also focused on graphene motivated 2D electronic materials such as hexagonal BN, or h-BN graphene hybrids. Occasionally, we have also studied bulk oxide materials such as PbPdO2, and KO2.

Mesoscale Physics

Low Dimensional Quantum Systems

Low dimensional quantum systems are those where at least one spatial dimension is small enough so that the quantum nature of the wave-function becomes important. Examples include the layered semi-conductor systems which show the quantum hall effect, materials like graphene and its cousins, and topological insulators. They also include one-dimensional systems like quantum wires and zero-dimensional systems like quantum dots.

The research work at HRI strives to explore and understand the extra-ordinary and highly intriguing behaviour of these systems, which are very different from those of their bulk counterparts.

Topological Order

For many decades, the Landau paradigm of symmetry breaking has been the bedrock of classification of how atoms in a material organise themselves. But in the last decade or so, it has been recognised that there are phases of matter which are topologically ordered and go beyond the Landau classification. These phases have interesting properties like ground state degeneracies, abelian and non-abelian fractional statistics and edge states, and they have potential application in quantum computation.

Since many of these materials require spin-orbit coupling, one focus of research in HRI is on understanding naturally occuring spin-orbit as well as engineered pseudo-spin orbit coupling in solid state systems as well as in optical lattices.


  • Spectroscopic signatures of the Mott transition on the anisotropic triangular lattice
    Rajarshi Tiwari and Pinaki Majumdar; EPL 108 27007 (2014)
  • Proximity induced superconductivity in Weyl semi-metals
    Udit Khanna, Arijit Kundu, Saurabh Pradhan, Sumathi Rao; PRB 90, 195430 (2014)
  • Lifshitz tricritical point and its relation to the FFLO superconducting state
    A Dutta, JK Bhattacharjee; Physics Letters A 377 (21-22), 1402-1406 (2013)
  • Electronic and magnetic properties of 3d transition metal-doped strontium clusters: Prospective magnetic superatoms
    V Chauhan, P Sen; Chemical Physics 417, 37 (2013)
  • Transport and STM studies of hyperbolic surface states of topological insulators
    U Khanna, S Pradhan, S Rao; Physical Review B 87 (24), 245411 (2013)
  • Magnon spectrum in the domain ferromagnetic state of antisite-disordered double perovskites
    SK Das, VN Singh, P Majumdar; Physical Review B 88 (21), 214428 (2013)
  • Ab initio and anion photoelectron studies of Rhn (n = 1b9) clusters
    MR Beltran, FB Zamudio, V Chauhan, P Sen, K Bowen; European journal of physics D 67, 63 (2013)


Pinaki Majumdar

The work at HRI is mainly on Mott systems, inhomogeneous order in superconductors, magnetism, and other cooperative states in correlated matter. We also work on developing alternate approaches, both analytical and numerical, to the many body problem.

Venkat Pai

My interest lies in exploring phases and phase transitions in quantum matter. We try to understand the interplay between electron correlations and electron-lattice coupling, effect of disorder on superconductivity, and novel phases in cold atom condensates in optical lattices.

T. Pareek

Currently we are studying topological excitations arising in spin-spce Entangled liquids using recently developed Quantum Non-Abelian Hydrodynamics description of generic "SO Hamiltonians" which goes beyond the adiabatic approximations. In this approach both fermionic and bosonic non-abelian topological excitations occurs which are closely related to non-unitarity of scattering matrix in spin space.

Sumathi Rao

The current focus is on quantum wires and edge states, topological states of matter including Weyl semi-metals, quantum Hall states and interferometry, Majorana fermions and non-abelian states. Newer analogs of graphene like silicene and Kitaev-like models leading to spin liquids are also being studied.

Prasenjit Sen

Our current focus is on two different systems. We are studying clusters deposited on substrates. Understanding cluster properties on the substrate supports is important for many applications including catalysis, magnetic storage, chemical sensor etc. We are also studying the newly synthesized 2D material phosphorene. Phosphorene overcomes many of the drawbacks that make graphene unsuitable for application in the FET channel. We are trying to understand properties of phosphorene nano-ribbons, and metal-phosphorene interfaces.


Rudra Banerjee


Secretary, Condensed Matter Group
Harish-Chandra Research Institute
Chhatnag Road, Jhunsi
Allahabad, India- 211019


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Designed by Arijit Dutta and maintained by Suman Jyoti De

Last updated - January 26, 2018 18:20 PM (IST)