Breakdown of the Chiral Luttinger Liquid in One-Dimension

Abstract

We have developed a fermionic boot-strap method to solve a class of chiral one dimensional fermion model which cannot be tackled by bosonization. Using this scheme, we show that Luttinger liquid behavior in a gas of four interacting chiral Majorana fermions is highly sensitive to the velocity degeneracy. Upon changing the velocity of a one chiral fermion, a sharp bound (or anti-bound) state splits off from the original Luttinger liquid continuum, cutting off the X-ray singularity to form a broad incoherent excitation with a lifetime that grows linearly with frequency.

13 pages, 7 figs

References in corpus (2)

• Doping of a spin-1 chain: integrable model
• Marginal Fermi Liquid in a lattice of three-body bound-states

Cited by in corpus (4)

• Tunneling between Two Helical Superconductors via Majorana Edge Channels
• How does a quadratic term in the energy dispersion modify the single-particle Green's function of the Tomonaga-Luttinger model?
• Magnetic properties of doped Heisenberg chains
• Bound-State Instability of the Chiral Luttinger Liquid in One-Dimension