The temperature derivative of a transverse-field-conjugate observable in a pyrochlore magnet is proportional to the ring-exchange specific heat, peaking at the ring-exchange energy scale, with sign set by the zero-flux or pi-flux quantum spin ice state.
Wen, Artificial light and quantum order in systems of screened dipoles, Phys
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Thermodynamic Spectroscopy of Emergent Excitations in Quantum Spin Ice
The temperature derivative of a transverse-field-conjugate observable in a pyrochlore magnet is proportional to the ring-exchange specific heat, peaking at the ring-exchange energy scale, with sign set by the zero-flux or pi-flux quantum spin ice state.