Exact operator Hamiltonians and interactions in the droplet bosonization method
High Energy Physics - Theory
2020-03-06 v1 Strongly Correlated Electrons
Mathematical Physics
math.MP
Abstract
We derive the exact form of the bosonized Hamiltonian for a many-body fermion system in one spatial dimension with arbitrary dispersion relations, using the droplet bosonization method. For a single-particle Hamiltonian polynomial in the momentum, the bosonized Hamiltonian is a polynomial of one degree higher in the bosonic "boundary" field and includes subleading lower-order and derivative terms. This generalizes the known results for massless relativistic and nonrelativistic fermions (quadratic and cubic bosonic Hamiltonians, respectively). We also consider two-body interactions and demonstrate that they lead to interesting collective behavior and phase transitions in the Fermi sea.
Cite
@article{arxiv.1403.5967,
title = {Exact operator Hamiltonians and interactions in the droplet bosonization method},
author = {Dimitra Karabali and Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:1403.5967},
year = {2020}
}
Comments
18 pages