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The Theoretical Explorations of Quantum Matter (TEQM) Group is a vibrant research team within the Quantum Condensed Matter Theory (QCMT) group in the Department of Physics at IIT Kanpur. Our mission is to explore the fundamental nature of quantum materials, their exotic properties, and their potential for groundbreaking applications in technology and fundamental science. By combining theoretical insights with computational tools, we aim to bridge the gap between theory and experiment, working closely with experimentalists to validate and refine our predictions.
Our research focuses on understanding the intricate interplay of strong electronic correlations, symmetry, and topology in quantum materials. These materials often exhibit multiple degrees of freedom—such as orbitals, valleys, and sublattices—leading to a rich tapestry of unconventional quantum phases. The competition and cooperation between these degrees of freedom give rise to emergent phenomena, which we strive to characterize, predict, and harness for both fundamental understanding and practical applications.
To tackle these challenges, we employ a diverse set of theoretical and computational techniques, including:
Model Hamiltonian approaches to distill the essential physics of strongly correlated systems.
Ab-initio methods to derive realistic material-specific parameters and connect theory with real-world materials.
Machine learning techniques to efficiently explore complex phase spaces, identify patterns, and accelerate the discovery of novel quantum phases.
Through these approaches, we uncover novel properties of quantum materials, propose new theoretical frameworks, and collaborate with experimental groups to test and validate our predictions.
Current Research Topics (selected)
1. Unconventional and Topological Superconductivity
We investigate unconventional and topological superconductors where superconductivity coexists with magnetism and nontrivial topology, leading to exotic quantum states such as Majorana fermions. These states are of particular interest due to their potential applications in fault-tolerant quantum computing. Using detailed microscopic models, we explore the interplay of electronic correlations, symmetry, and topology to predict and design new superconducting materials. Our work has led to key discoveries, including loop supercurrent states, nonunitary triplet pairing in LaNiGa₂, chiral singlet superconductivity in LaPt₃P, and time-reversal symmetry breaking superconductivity in Weyl and Dirac semimetals as well as Z₂ topological metals. By combining topological band theory with superconducting pairing mechanisms, we aim to identify material platforms that can host these exotic states, understand their stability, and explore their response to external perturbations such as magnetic fields and disorder. Through theoretical modeling and close collaboration with experimental groups, we strive to uncover new platforms for topological quantum computation and exotic superconducting phases, pushing the boundaries of quantum materials research.
Relevant recent papers from the group:
ii) Advanced Materials 2415721 (2024)
iii) Phys. Rev. B 110, 054515 (2024)
2. Superconducting Diode Effect
We explore the nonreciprocal transport properties of superconductors in systems where inversion and time-reversal symmetries are broken. This leads to the superconducting diode effect, where the critical current depends on the direction of current flow. This phenomenon has promising technological applications, such as in low-dissipation electronics and quantum circuits. Our research aims to identify the microscopic mechanisms driving this effect, optimize material parameters to enhance it, and explore its potential in next-generation quantum devices.
Relevant recent papers from the group:
ii) Communications Physics 8, 260 (2025)
3. Non-Hermitian Josephson Junctions
We study dissipative superconducting systems where non-Hermitian effects play a significant role in modifying the Josephson dynamics. These systems exhibit novel phase transitions and unconventional superconducting behaviors. Our work focuses on understanding how dissipation and gain alter the superconducting phase diagram, and how these effects can be harnessed for quantum sensing and nonlinear dynamics in superconducting circuits.
Relevant recent papers from the group:
i) arXiv: 2502.09397 (2025)
4. Correlated Electrons on Hyperbolic Lattices
We investigate the behavior of strongly correlated electrons on hyperbolic lattices, which are characterized by negative curvature and non-Euclidean geometry. These systems provide a unique platform to explore quantum phases. Our research aims to uncover how curvature and topology influence electronic correlations, and how these effects can be realized in engineered materials or artificial lattices.
Broader Impact
Our work not only advances the fundamental understanding of quantum materials but also contributes to the development of new paradigms in strongly correlated systems and topological phases of matter. By uncovering novel quantum phenomena and proposing new theoretical frameworks, we aim to inspire experimental discoveries and pave the way for future technologies in quantum computing, low-power electronics, and quantum sensing. Through interdisciplinary collaborations and cutting-edge methodologies, we strive to push the boundaries of quantum condensed matter physics and its applications.
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