nLab Andrey Gromov

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Selected writings

On hidden supersymmetry in fractional quantum Hall systems (between Laughlin wavefunctions and their variants at even/odd filling fraction):

• Andrey Gromov, Emil J. Martinec, Shinsei Ryu: Collective excitations at filling factor $5/2$: The view from superspace, Phys. Rev. Lett. 125 (2020) 077601 [doi:10.1103/PhysRevLett.125.077601, arXiv:1909.06384]

  (superspace formulation)

• 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)

On quasicrystalline topological phases of matter:

• Dominic V. Else, Sheng-Jie Huang, Abhinav Prem, Andrey Gromov: Quantum many-body topology of quasicrystals, Phys. Rev. X 11 (2021) 041051 [arXiv:2103.13393, doi:10.1103/PhysRevX.11.041051]