Physics in one dimension: theoretical concepts for quantum many-body systems
K. Schonhammer
TL;DR
This paper introduces the theoretical framework for understanding one-dimensional quantum many-body systems, emphasizing fermionic models and the Luttinger liquid concept, highlighting simplified descriptions and exact solutions.
Contribution
It provides an overview of the theoretical concepts and exact solutions specific to one-dimensional fermionic quantum systems, focusing on the emergence of the Luttinger liquid.
Findings
Simplified theoretical descriptions in 1D systems
Existence of various exact solutions in 1D quantum models
Emergence of the Luttinger liquid concept in fermionic systems
Abstract
Various sophisticated approximation methods exist for the description of quantum many-body systems. It was realized early on that the theoretical description can simplify considerably in one-dimensional systems and various exact solutions exist. The focus in this introductory paper is on fermionic systems and the emergence of the Luttinger liquid concept.
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