Work

Ground state of one-dimensional Fermion–Phonon systems

Year: 2024

Type: article

Abstract: A new framework for the reflection positivity, based on order-preserving operator inequalities, is proposed. This framework is utilized to investigate one-dimensional fermion–phonon systems, with a particular focus on the detailed examination of ground state properties. Our analysis reveals that the reflection positivity provides a consistent description of the charge-density-wave (CDW) order in such systems. Additionally, we establish the existence of CDW long-range order in the ground state when the Coulomb interaction is long range.

Source: Infinite Dimensional Analysis Quantum Probability and Related Topics

DOI: 10.1142/s0219025724500164

Authors: Tadahiro Miyao, Seigo Okida, Hayato Tominaga

Institution: Hokkaido University

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Eberhard Karls Universität Tübingen, Japan Society for the Promotion of Science

Awards: Rigorous construction of linear response theory for many-fermion systems interacting with environment and its applications, A comprehensive study on the mathematical aspects of metallic ferromagnetism, G6601967663