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

Area of Science:

• Condensed matter physics
• Quantum magnetism
• Many-body systems

Background:

• The two-channel Kondo lattice model is theorized to exhibit complex phases, including hastatic order.
• Hastatic order represents a channel symmetry breaking heavy Fermi liquid state.

Purpose of the Study:

• To re-examine the one-dimensional phase diagram of the two-channel Kondo lattice.
• To investigate the nature of hastatic order and its associated phenomena.

Main Methods:

• Density matrix renormalization group (DMRG) was employed to study the one-dimensional phase diagram.
• Analysis focused on identifying and characterizing different phases, particularly hastatic orders.

Main Results:

• Algebraic hastatic orders were found to be generic for stronger coupling regimes, contrary to previous studies.
• These orders manifest as heavy Tomonaga-Luttinger liquids with nonanalyticities at Fermi vectors.
• A novel nonlocal order parameter, arising from hastatic spinor interference, was identified.
• Residual repulsive interactions at strong coupling hint at non-Fermi-liquid behavior in higher dimensions.

Conclusions:

• The study reveals a richer phase diagram for the one-dimensional two-channel Kondo lattice than previously understood.
• Algebraic hastatic orders and novel nonlocal parameters characterize the strong coupling regime.
• The findings suggest potential non-Fermi-liquid physics in higher-dimensional extensions of the model.