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math-phJun 1, 2000
8
citations (OpenAlex)
authors
  • Fumihiko Nakano
institutions
  • Princeton University
arXiv abstractPDF
paper

The flux phase problem on the ring

arXiv:math-ph/0006022 · doi:10.1088/0305-4470/33/30/311

Abstract

We give a simple proof to derive the optimal flux which minimizes the ground state energy in one dimensional Hubbard model, provided the number of particles is even.

8 pages, to appear in J. Phys. A: Math. Gen

References in corpus (4)

  • The Flux-Phase of the Half-Filled Band
  • The Stability of the Peierls Instability for Ring-Shaped Molecules
  • Persistent Currents in Mesoscopic Hubbard Rings with Spin-Orbit Interaction
  • On the flux phase conjecture at half-filling: an improved proof

Cited by in corpus (6)

  • Repulsion-Sustained Supercurrent and Flux Quantization in Rings of Symmetric Hubbard Clusters
  • Electronic structure and parity effects in correlated nanosystems
  • Exotic Superfluid with Emergent flux in a one-dimensional Bose-Fermi mixture
  • Fermi-Hubbard model on non-bipartite lattices: flux problem and emergent chirality
  • Möbius molecules and fragile Mott insulators
  • Spin of the ground state and the flux phase problem on the ring
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