2019/01/22 by Jamie M. Booth, Booth, Jamie M
Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #High-pressure geophysics and materials #Magnetic and transport properties of perovskites and related materials #Materials Science (cond-mat.mtrl-sci) #Physics of Superconductivity and Magnetism #Scientific Research and Discoveries #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.1901.07192
openalex publication_date 2019/01/22 · openalex created_date 2022/07/30 · openalex updated_date 2026/07/28
Mathematical descriptions of the interplay between strong electron\ncorrelations and lattice degrees of freedom are of enormous importance in the\ndevelopment of new devices based on metal oxides such as VO2 and the\nCuprate superconductors. In this work the physics of tight-binding type\nelectron momentum states interacting with lattice fluctuations is reformulated\ninto an approach based on lattice QCD. Strong electron correlations act as a\nsource for phonons, which are incorporated by using SU(2) bosons acting on\nneighbouring atomic sites. This allows the system to be described by a\nHamiltonian which describes strong interactions between SU(2) Yang-Mills bosons\nnear Tc resulting from electron correlations. Monte Carlo and GW\ncalculations show that at low Temperature the electron-electron interactions\ndrive the system into a phase coherent phonon state, breaking the lattice\nsymmetry, and a band gap opens. This formalism is intrinsically able to combine\nstrong-electron correlations with lattice fluctuations in a manner which\ndescribes symmetry-breaking structural phase transitions which manifest spin-\nand charge ordering.\n