All Publications

  • Emergent Z2 symmetry near a charge density wave multicritical point PHYSICAL REVIEW B Kivelson, S. A., Pandey, A., Singh, A. G., Kapitulnik, A., Fisher, I. R. 2023; 108 (20)
  • Random geometry at an infinite-randomness fixed point PHYSICAL REVIEW B Pandey, A., Mahadevan, A., Cowsik, A. 2023; 108 (6)
  • A stability bound on the [Formula: see text]-linear resistivity of conventional metals. Proceedings of the National Academy of Sciences of the United States of America Murthy, C., Pandey, A., Esterlis, I., Kivelson, S. A. 2023; 120 (3): e2216241120


    Perturbative considerations account for the properties of conventional metals, including the range of temperatures where the transport scattering rate is 1/τtr = 2πλT, where λ is a dimensionless strength of the electron-phonon coupling. The fact that measured values satisfy λ ≲ 1 has been noted in the context of a possible "Planckian" bound on transport. However, since the electron-phonon scattering is quasielastic in this regime, no such Planckian considerations can be relevant. We present and analyze Monte Carlo results on the Holstein model which show that a different sort of bound is at play: a "stability" bound on λ consistent with metallic transport. We conjecture that a qualitatively similar bound on the strength of residual interactions, which is often stronger than Planckian, may apply to metals more generally.

    View details for DOI 10.1073/pnas.2216241120

    View details for PubMedID 36634139

  • Interstitial-Induced Ferromagnetism in a Two-Dimensional Wigner Crystal. Physical review letters Kim, K. S., Murthy, C., Pandey, A., Kivelson, S. A. 2022; 129 (22): 227202


    The two-dimensional Wigner crystal (WC) occurs in the strongly interacting regime (r_{s}≫1) of the two-dimensional electron gas (2DEG). The magnetism of a pure WC is determined by tunneling processes that induce multispin ring-exchange interactions, resulting in fully polarized ferromagnetism for large enough r_{s}. Recently, Hossain et al. [Proc. Natl. Acad. Sci. U.S.A. 117, 32244 (2020)PNASA60027-842410.1073/pnas.2018248117] reported the occurrence of a fully polarized ferromagnetic insulator at r_{s}≳35 in an AlAs quantum well, but at temperatures orders of magnitude larger than the predicted exchange energies for the pure WC. Here, we analyze the large r_{s} dynamics of an interstitial defect in the WC, and show that it produces local ferromagnetism with much higher energy scales. Three hopping processes are dominant, which favor a large, fully polarized ferromagnetic polaron. Based on the above results, we speculate concerning the phenomenology of the magnetism near the metal-insulator transition of the 2DEG.

    View details for DOI 10.1103/PhysRevLett.129.227202

    View details for PubMedID 36493455