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

TL;DR

This paper investigates the one-dimensional two-channel Kondo lattice, revealing algebraic hastatic orders as heavy Tomonaga-Luttinger liquids with unique non-local order parameters and non-Fermi-liquid behavior at strong coupling.

Contribution

It demonstrates the emergence of algebraic hastatic orders in 1D, contrasting previous work, and uncovers non-local order parameters and residual interactions indicating complex physics.

Findings

Algebraic hastatic orders are generically present at strong coupling.

Identified non-local order parameters due to interference between hastatic spinors.

Residual repulsive interactions suggest non-Fermi-liquid behavior in higher dimensions.

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 and, in contrast to previous work find algebraic hastatic orders generically for stronger couplings. These are heavy Tomonaga-Luttinger liquids with nonanalyticities at Fermi vectors captured by hastatic density waves. We also find a predicted additional non-local order parameter due to interference between hastatic spinors, not present at large-N; and residual repulsive interactions at strong coupling suggesting non-Fermi-liquid physics in higher dimensions.