Analytical theory of pyrochlore cooperative paramagnets

@article{Pandey2019AnalyticalTO,
  title={Analytical theory of pyrochlore cooperative paramagnets},
  author={Akshat Pandey and Roderich Moessner and Claudio Castelnovo},
  journal={Physical Review B},
  year={2019}
}
The pyrochlore lattice is associated with several potential and actual spin liquid phases as a result of its strong geometric frustration. At finite temperature, these can exhibit an unusually broad cross-over regime to a conventional paramagnet. Here, we study this regime analytically by showing how a single-tetrahedron Hamiltonian can extrapolate beyond the first term of a high-temperature expansion and yield insights into the build-up of correlations. We discuss how this unusual behaviour is… 
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References

SHOWING 1-10 OF 48 REFERENCES

Physical Review Letters 106

  • 187202
  • 2011

Rare Earth Magnetism: Structures and Excitations

Elements of rare earth magnetism Magnetic structures Linear response theory The magnetic scattering of neutrons Spin waves in the ferromagnetic rare earths Spin waves in periodic structures…

Insulating spin glasses

The possibility of obtaining spin glasses by addition of impurities in an antiferromagnetic insulator is examined. Dipolar interactions are briefly considered but the attention is focussed on…

Theory of Dipole Interaction in Crystals

"Reprinted from the Physical review, vol. 70, nos. 11 and 12, 954-964, Dec. 1 and 15, 1946."

Neutron scattering studies of the cooperative paramagnet pyrochloreTb2Ti2O7

The Luttinger-Tisza method

Annual review of condensed matter physics

Order induced by dipolar interactions in a geometrically frustrated antiferromagnet

We study the classical Heisenberg model for spins on a pyrochlore lattice interacting via long-range dipole-dipole forces and nearest-neighbor exchange. Antiferromagnetic exchange alone is known not…

Quantum spin configurations in Tb 2 Ti 2 O 7

Low-energy collective angular momentum states of the ${\mathrm{Tb}}^{3+}$ ions in ${\mathrm{Tb}}_{2}{\mathrm{Ti}}_{2}{\mathrm{O}}_{7}$ are classified according to the irreducible representations of…

Rod motifs in neutron scattering in spin ice

Neutron scattering is a technique of choice to study magnetic correlations in real materials. Discerning topological contributions therein is, however, a tall order. Bow-tie features are a notable…