Breakdown of charge homogeneity in the two-dimensional Hubbard model: Slave-boson study of magnetic order

Jannis Seufert, David Riegler, Michael Klett, Ronny Thomale, and Peter Wölfle
Phys. Rev. B 103, 165117 – Published 16 April 2021

Abstract

We study the two-dimensional one-band Hubbard model on the square lattice through the spin rotation invariant Kotliar-Ruckenstein slave-boson method, with an emphasis on the electron-doped regime. The phase diagram determined within mean field approximation reveals three different magnetically ordered phases separated by first-order transitions, and a wide instability region as indicated by a negative compressibility. We show that this conundrum of the unstable mean field domain is resolved by spatially mixed phases of neighboring stable states. We also find charge density wave type instabilities in the antiferromagnetically ordered (AFM) state at wave vectors commensurate with the doping. The corresponding charge and spin density response functions are calculated from a Gaussian fluctuations formalism about a magnetic saddle point, for which we provide a detailed derivation. Further, we present density and spin excitation spectra in the AFM phase, allowing for a quantitative calculation of the spin wave parameters, the gap in the longitudinal spin excitation spectrum, and the density excitations in the upper Hubbard band.

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  • Received 21 January 2021
  • Revised 31 March 2021
  • Accepted 1 April 2021

DOI:https://doi.org/10.1103/PhysRevB.103.165117

©2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Jannis Seufert1,*, David Riegler1,*, Michael Klett1,*, Ronny Thomale1,†, and Peter Wölfle2,‡

  • 1Institute for Theoretical Physics, University of Wuerzburg, D-97074 Wuerzburg, Germany
  • 2Institute for Theory of Condensed Matter and Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany

  • *These authors contributed equally to this work.
  • rthomale@physik.uni-wuerzburg.de
  • peter.woelfle@kit.edu

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Issue

Vol. 103, Iss. 16 — 15 April 2021

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