Bethe strings in the spin dynamical structure factor of the Mott-Hubbard phase in one-dimensional fermionic Hubbard model

Abstract

The spectra and role in the spin dynamical properties of bound states of elementary magnetic excitations named Bethe strings that occur in some integrable spin and electronic one-dimensional models have recently been identified and realized in several materials by experiments. Corresponding theoretical studies have usually relied on the one-dimensional spin-1/2 Heisenberg antiferromagnet in a magnetic field. At the isotropic point, it describes the large onsite repulsion U limit of the spin degrees of freedom of the one-dimensional fermionic Hubbard model with one electron per site in a magnetic field h. In this paper we consider the thermodynamic limit and study the effects of lowering the latter quantum problem ratio u=U/4t, where t is the first-neighbor transfer integral, on the line-shape singularities in regions at and just above the lower thresholds of the transverse and longitudinal spin dynamical structure factors. The most significant spectral weight contribution from Bethe strings leads to a gapped continuum in the spectrum of the spin dynamical structure factor +-. Our study focuses on the line shape singularities at and just above the gapped lower threshold of that continuum, which have been identified in experiments. Our results are consistent with the contribution of Bethe strings to the spin dynamical structure factor zz being small at low spin densities and becoming negligible upon increasing that density. Our results provide physically important information about how electron itinerancy affects the spin dynamics.

arXiv comment31 pages, 13 figures. arXiv admin note: substantial text overlap with arXiv:2009.10499

References in corpus (28)

• The density-matrix renormalization group in the age of matrix product states
• Real time evolution using the density matrix renormalization group
• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Universal theory of nonlinear Luttinger liquids
• Computation of dynamical correlation functions of Heisenberg chains in a field
• The one-dimensional Hubbard model: A reminiscence
• Extended quantum critical phase in a magnetized spin-1/2 antiferromagnetic chain
• Experimental Observation of Bethe Strings
• The 4-spinon dynamical structure factor of the Heisenberg chain
• The Quantum Inverse Scattering Method for Hubbard-like Models
• Shadow band in the one-dimensional large $U$ Hubbard model
• Spectral functions of the 1D Hubbard model in the U -> \infty limit: How to use the factorized wave-function
• Dynamically dominant excitations of string solutions in the spin-1/2 antiferromagnetic Heisenberg chain in magnetic fields
• Dispersions of Many-Body Bethe strings
• Quantum Critical Dynamics of a Heisenberg-Ising Chain in a Longitudinal Field: Many-Body Strings versus Fractional Excitations
• Spin and charge dynamics of the one-dimensional extended Hubbard model
• Finite-Energy Spectral-Weight Distributions of a 1D Correlated Metal
• Spectral properties of one dimensional insulators and superconductors
• Theory of hole propagation in one dimensional insulators and superconductors
• Dynamical decoupling and Kac-Moody current representation in multicomponent integrable systems
• Dynamical Functions of a 1D Correlated Quantum Liquid
• Charge and Spin Fractionalization Beyond the Luttinger Liquid Paradigm
• Pseudoparticle approach to 1D integrable quantum models
• Itineracy Effects on Spin Correlations in 1D Mott Insulators
• Absence of ballistic charge transport in the half-filled 1D Hubbard model
• One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
• Spin and charge dynamics of a quasi-one-dimensional antiferromagnetic metal
• Formfactors in the half-filled Hubbard model

Cited by in corpus (1)

• One-particle spectral functions of the one-dimensional Fermionic Hubbard model with one fermion per site at zero and finite magnetic fields