Elementary excitations of a system of one-dimensional chiral fermions with short-range interactions
arXiv:2302.01964 · doi:10.1103/PhysRevB.107.075438
Abstract
We study general features of the excitation spectrum of a system of one-dimensional chiral spinless fermions with short-range interactions. We show that the nature of the elementary excitations of such a system depends strongly on the nonlinearity of the underlying dispersion of the fermions. In the case of quadratic nonlinearity, the low-momentum excitations are essentially fermionic quasiparticles and quasiholes, whereas the high-momentum ones are classical harmonic waves and solitons. In the case of cubic nonlinearity, the nature of the elementary excitations does not depend on momentum and is determined by the strength of the interactions. At a certain critical value of the interaction strength the excitation spectrum changes qualitatively, pointing to a dynamic phase transition in the system.
arXiv comment13 pages
References in corpus (6)
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
- Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian
- Fate of classical solitons in one-dimensional quantum systems
- Solitons in a one-dimensional Wigner crystal
- Spectral function of chiral one-dimensional Fermi liquid in the regime of strong interactions