nLab Ajit C. Balram

Ajit Coimbatore Balram

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Selected writings

On emergent supersymmetry in collective excitations of fractional quantum Hall systems:

• Songyang Pu, Ajit C. Balram, Mikael Fremling, Andrey Gromov, Zlatko Papić: Signatures of Supersymmetry in the $\nu = 5/2$ Fractional Quantum Hall Effect, Phys. Rev. Lett. 130 (2023) 176501 [doi:10.1103/PhysRevLett.130.176501, arXiv:2301.04169]

  “Our results suggest that the SUSY structure is intrinsically present in spectral properties of the $\nu = 5/2$ state”

• Dung Xuan Nguyen, Kartik Prabhu, Ajit C. Balram, Andrey Gromov: Supergravity model of the Haldane-Rezayi fractional quantum Hall state, Phys. Rev. B 107 (2023) 125119 [doi:10.1103/PhysRevB.107.125119, arXiv:2212.00686]

  (supergravity formulation)

• Ajit C. Balram: High-energy collective modes in fractional quantum Hall liquids: Rise of the parton, talk at Quantum Information and Quantum Matter 2023, CQTS @ NYU Abu Dhabi (May 2023) [pdf, pdf]

• Koyena Bose, Ajit C. Balram: Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions, Physical Review B 112 3 (2025) [doi:10.1103/p5sq-kczs, arXiv:2502.02686]

and more on the corresponding graviton-like mode:

• Ajit C. Balram, G. J. Sreejith, Jainendra K. Jain: Splitting of Girvin-MacDonald-Platzman density wave and the nature of chiral gravitons in fractional quantum Hall effect, Phys. Rev. Lett. 133 (2024) 246605 [doi:10.1103/PhysRevLett.133.246605, arXiv:2406.02730]

On experimental observation of composite fermions in fractional quantum Hall systems:

• Fingerprints of Composite Fermion Lambda Levels in Scanning Tunneling Microscopy, Phys. Rev. B 110 (2024) L081107 [arXiv:2312.06779, doi:10.1103/PhysRevB.110.L081107]

  exposition at Quantum Information and Quantum Matter, CQTS @ NYU Abu Dhabi (2024)

On multiple modes resolving the would-be single GMP mode for FQH excitations

at Jain filling fractions $n/(2 p n \pm 1)$ with ${\vert n \vert}\geq 2$ (e.g. $\nu = 2/5, 3/7, 2/9, 2/7$):

• Ajit C. Balram, Zhao Liu, Andrey Gromov, Zlatko Papić: Very-High-Energy Collective States of Partons in Fractional Quantum Hall Liquids, Phys. Rev. X 12 (2022) 021008 [doi:10.1103/PhysRevX.12.021008, arXiv:2111.10395]

in FQH liquids that are not fully spin-polarized:

• Rakesh K. Dora, Ajit C. Balram: Dispersion of collective modes in spinful fractional quantum Hall states on the sphere [arXiv:2509.13100]

Review of fractional quantum Hall systems:

• Zlatko Papić, Ajit C. Balram: Fractional quantum Hall effect in semiconductor systems, Encyclopedia of Condensed Matter Physics 2nd ed 1 (2024) 285-307 [doi:10.1016/B978-0-323-90800-9.00007-X, arXiv:2205.03421]

On collective excitations of FQH liquids on the 2-sphere:

• Rakesh K. Dora, Ajit C. Balram: Static structure factor and the dispersion of the Girvin-MacDonald-Platzman density mode for fractional quantum Hall fluids on the Haldane sphere, Phys. Rev. B 111 (2025) 115132 [arXiv:2410.00165, doi:10.1103/PhysRevB.111.115132]

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