Construction by bosonization of a fermion-phonon model
arXiv:1503.01835 · doi:10.1063/1.4930299
Abstract
We discuss an extension of the (massless) Thirring model describing interacting fermions in one dimension which are coupled to phonons and where all interactions are local. This fermion-phonon model can be solved exactly by bosonization. We present a construction and solution of this model which is mathematically rigorous by treating it as a limit of a Luttinger-phonon model. A self-contained account of the mathematical results underlying bosonization is included, together with complete proofs.
59 pages, LaTeX, 1 figure; minor updates to original submission, final published version; minor fix to agree with published version
Cited by in corpus (14)
- Finite-time universality in nonequilibrium CFT
- Inhomogeneous conformal field theory out of equilibrium
- Time evolution of the Luttinger model with nonuniform temperature profile
- Steady states and universal conductance in a quenched Luttinger model
- Non-chiral Intermediate Long Wave equation and inter-edge effects in narrow quantum Hall systems
- Deformed Calogero-Sutherland model and fractional Quantum Hall effect
- Out-of-horizon correlations following a quench in a relativistic quantum field theory
- Marginal quenches and drives in Tomonaga-Luttinger liquids
- Approaching off-diagonal long-range order for 1+1-dimensional relativistic anyons
- Emergence of generalized hydrodynamics in the non-local Luttinger model
- Conformal field theory, solitons, and elliptic Calogero--Sutherland models
- Breaking of Huygens-Fresnel principle in inhomogeneous Tomonaga-Luttinger liquids
- Ground state of one-dimensional fermion-phonon systems
- Perfect Wave Transfer in Continuous Quantum Systems