2011/08/31 by R. Torsten Clay, R. T. Clay, J. P. Song +4 · 4 citations
Materials Science · Physics and Astronomy · #Band gap #Charge (physics) #Condensed matter physics #Curse of dimensionality #Distortion (music) #Electron #Frustration #Geometrical frustration #Ground state #Lattice (music) #Organic and Molecular Conductors Research #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Zigzag #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1143/jpsj.81.074707
published in Journal of the Physical Society of Japan 81(7), 074707 (Physical Society of Japan) · 12 pages, 8 eps figures
arxiv created 2012/05/10 · openalex publication_date 2012/06/20 · arxiv updated 2014/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the simplest example of lattice frustration in the 1/4-filled band, a one-dimensional chain with next-nearest neighbor interactions. For this zigzag ladder with electron-electron as well as electron-phonon interactions we present numerical results for ground state as well as thermodynamic properties. In this system the ground state bond distortion pattern is independent of electron-electron interaction strength. The spin gap in the ground state of the zigzag ladder increases with the degree of frustration. Unlike in one-dimension, where the spin-gap and charge ordering transitions can be distinct, we show that in the ladder they occur simultaneously. We discuss spin gap and charge ordering transitions in 1/4-filled materials with one, two, or three dimensional crystal structures. We show empirically that regardless of dimensionality the occurrence of simultaneous or distinct charge and magnetic transitions can be correlated with the ground state bond distortion pattern.