Emergent spin excitations in a Bethe lattice at percolation.

نویسندگان

  • Hitesh J Changlani
  • Shivam Ghosh
  • Sumiran Pujari
  • Christopher L Henley
چکیده

We study the spin-1/2 quantum Heisenberg antiferromagnet on a Bethe lattice diluted to the percolation threshold. Dilution creates areas of even or odd sublattice imbalance resulting in "dangling spins" [L. Wang and A. W. Sandvik, Phys. Rev. Lett. 97, 117204 (2006); Phys. Rev. B 81, 054417 (2010)]. These collectively act as "emergent" spin-1/2 degrees of freedom and are responsible for the creation of a set of low-lying "quasidegenerate states." Using density matrix renormalization group calculations, we detect the presence and location of these emergent spins. We find an effective Hamiltonian of these emergent spins, with Heisenberg interactions that decay exponentially with the distance between them.

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عنوان ژورنال:
  • Physical review letters

دوره 111 15  شماره 

صفحات  -

تاریخ انتشار 2013