Work

One-dimensional projection of two-dimensional systems using spiral boundary conditions

Year: 2023

Type: article

Abstract: The spiral boundary conditions can project any two-dimensional or three-dimensional lattice onto a one-dimensional periodic chain with translational symmetry. It enables one to apply efficiently the existing one-dimensional techniques, such as density-matrix renormalization group (DMRG), bosonization, Jordan-Wigner transformation, etc., to studies of lattice systems in higher dimensions. Here, the authors demonstrate the utility of spiral boundary conditions by performing analytical and DMRG calculations for square and honeycomb lattice problems. Thus, the spiral boundary conditions emerge as a principal option in condensed matter physics.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.107.l081104

Authors: Masahiro Kadosawa, Masaaki Nakamura, Yukinori Ohta, Satoshi Nishimoto

Institutions: Chiba University, Ehime University, Leibniz Institute for Solid State and Materials Research, Technische Universität Dresden

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: Deutsche Forschungsgemeinschaft, University of Tokyo, Japan Society for the Promotion of Science

Awards: Theoretical research for strongly correlated quantum systems in terms of topology and information geometry, 励起子相の実証に向けた強結合励起子凝縮系物質の有限温度・非平衡ダイナミクスの解明, Theory of preformed pair states and nonequilibrium dynamics in materials with strong-coupling excitonic condensation, SFB 1143: Korrelierter Magnetismus: Von Frustration zu Topologie, G8978238210