Quantum Spin Metal State on a Decorated Honeycomb Lattice

We present a modification of the exactly solvable spin-1/2 Kitaev model on the decorated honeycomb lattice, with a ground state of spin metal type. The model is diagonalized in terms of Majorana fermions; the latter form a 2D gapless state with a Fermi circle whose size depends on the ratio of exchange couplings. Low-temperature heat capacity C(T) and dynamic spin susceptibility chi(omega ,T) are calculated in the case of small Fermi circle. Whereas, C(T) similar to T at low temperatures as it is expected for a Fermi liquid, spin excitations are gapped and chi(omega, T) demonstrates unusual behavior with a power-law peak near the resonance frequency. The corresponding exponent as well as the peak shape are calculated.