Emergent spin excitations in a Bethe lattice at percolation
HJ Changlani, S Ghosh, S Pujari, CL Henley - Physical review letters, 2013 - APS
HJ Changlani, S Ghosh, S Pujari, CL Henley
Physical review letters, 2013•APSWe 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”<? format?>[L. Wang and AW 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 …
percolation threshold. Dilution creates areas of even or odd sublattice imbalance resulting in
“dangling spins”<? format?>[L. Wang and AW 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 …
We study the spin- 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” <?format ?>[L. Wang and A. W. Sandvik, Phys. Rev. Lett. 97, 117204 (2006); Phys. Rev. B 81, 054417 (2010)]. These collectively act as “emergent” spin- 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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