V. K. Singh, J. Link, K. Kargeti, S. K. Panda, I. Heinmaa, C. Dhanasekhar, Monika Jawale, Kwang-Tak Kim, Kee Hoon Kim, T. Chakrabarty, A. V. Mahajan, R. Stern, and B. Koteswararao
Phys. Rev. B 110, 125112 (2024) – Published 6 September 2024
Phys. Rev. B 110, 104412 (2024) – Published 5 September 2024
The Lieb-Schultz-Mattis theorem states that a finite-range Hamiltonian in translationally and spin-rotationally invariant spin-1/2 systems cannot have a unique gapped ground state. Here, the author extends the theorem to include Hamiltonians with terms that act on a finite number of sites, but which may be far apart, provided that the interaction strength decays with distance faster than a certain power law. As the spatial dimension increases, the power law required to guarantee the result demands faster decay.