Charge-density-wave instabilities driven by multiple umklapp scattering

2003/11/12 by Peter Schmitteckert, Ralph Werner · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.69.195115

published as Phys. Rev. B 69, 195115 (2004) · 5 pages REVTEX, 6 figures

arxiv created 2003/11/12 · openalex publication_date 2004/05/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the concept of umklapp-scattering driven instabilities in one-dimensional systems can be generalized to arbitrary multiple umklapp-scattering processes at commensurate fillings given that the system has sufficiently longer range interactions. To this end we study the fundamental model system, namely, interacting spinless fermions on a one-dimensional lattice, via a density-matrix renormalization-group approach. The instabilities are investigated via a method allowing to calculate the ground-state charge stiffness numerically exactly. The method can be used to determine other ground-state susceptibilities in general.

Citations

• Quantum Inverse Scattering Method and Correlation Functions
• Bosonization and Strongly Correlated Systems
• From the Fermi Glass towards the Mott Insulator in One Dimension: Delocalization and Strongly Enhanced Persistent Currents
• Effects of long-range electronic interactions on a one-dimensional electron system

Cited by

• Orbital currents and charge density waves in a generalized Hubbard ladder
• Crystallization of trions in SU(3) cold-atom gases trapped in optical lattices