A. F. Ho — Page 2 | Searcharxiv

arXiv1999

Breakdown of the Chiral Luttinger Liquid in One-Dimension

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.

cond-mat.str-el↗

arXiv1998

Marginal Fermi Liquid in a lattice of three-body bound-states

We study a lattice model for Marginal Fermi liquid behavior, involving a gas of electrons coupled to a dense lattice of three-body bound-states. The bound-states change the phase space for electron-electron scattering and induce a marginal self-energy amongst the electron gas. When the three-body bound-states are weakly coupled to the electron gas, there is a substantial window for marginal Fermi liquid behavior. In this regime, the model displays the presence of two relaxation times, one linear, one quadratic in the temperature. At low temperatures the bound-states develop coherence leading to a cross-over to conventional Fermi liquid behavior. At strong-coupling, marginal Fermi liquid behavior is pre-empted by a pairing or magnetic instability, and it is not possible to produce a linear scattering rate comparable with the temperature. We discuss the low temperature instabilities of this model and compare it to the Hubbard model at half-filling.

cond-mat.str-el↗