Algebraic Hastatic Order in One-Dimensional Two-Channel Kondo Lattice

Abstract

The two-channel Kondo lattice likely hosts a rich array of phases, including hastatic order, a channel-symmetry breaking heavy Fermi liquid. We revisit its one-dimensional phase diagram using density matrix renormalization group. In contrast to previous work, we find algebraic hastatic orders generically for strong coupling. These are heavy Tomonaga-Luttinger liquids with nonanalyticities at Fermi wave-vectors captured by hastatic density waves. Intriguingly, we find a recently predicted additional order parameter, not present at large-N , arising from RKKY mediated interference between hastatic spinors, and indications of residual repulsive interactions at strong coupling.