Magnetic field-induced intermediate quantum spin liquid with a spinon Fermi surface
The Kitaev model with an applied magnetic field in the H ∥ [ 111 ] direction shows two transitions: from a nonabelian gapped quantum spin liquid (QSL) to a gapless QSL at H c 1 ≃ 0.2 K and a second transition at a higher field H c 2 ≃ 0.35 K to a gapped partially polarized phase, where K is the strength of the Kitaev exchange interaction. We identify the intermediate phase to be a gapless U(1) QSL and determine the spin structure function S ( k ) and the Fermi surface ϵ F S ( k ) of the gapless spinons using the density matrix renormalization group (DMRG) method for large honeycomb clusters. Further calculations of static spin-spin correlations, magnetization, spin susceptibility, and finite temperature-specific heat and entropy corroborate the gapped and gapless nature of the different field-dependent phases. In the intermediate phase, the spin-spin correlations decay as a power law with distance, indicative of a gapless phase.