Doping evolution of spin and charge excitations in the Hubbard model

Y. F. Kung, E. A. Nowadnick, C. J. Jia, S. Johnston, B. Moritz, R. T. Scalettar, and T. P. Devereaux

Phys. Rev. B 92, 195108 – Published 5 November 2015

Abstract

To shed light on how electronic correlations vary across the phase diagram of the cuprate superconductors, we examine the doping evolution of spin and charge excitations in the single-band Hubbard model using determinant quantum Monte Carlo (DQMC). In the single-particle response, we observe that the effects of correlations weaken rapidly with doping, such that one may expect the random phase approximation (RPA) to provide an adequate description of the two-particle response. In contrast, when compared to RPA, we find that significant residual correlations in the two-particle excitations persist up to 40% hole and 15% electron doping (the range of dopings achieved in the cuprates). These fundamental differences between the doping evolution of single- and multiparticle renormalizations show that conclusions drawn from single-particle processes cannot necessarily be applied to multiparticle excitations. Eventually, the system smoothly transitions via a momentum-dependent crossover into a weakly correlated metallic state where the spin and charge excitation spectra exhibit similar behavior and where RPA provides an adequate description.

Received 8 August 2015
Revised 12 October 2015

DOI:https://doi.org/10.1103/PhysRevB.92.195108

Authors & Affiliations

Y. F. Kung^1,2, E. A. Nowadnick^1,2,3, C. J. Jia^2,4, S. Johnston^5,6, B. Moritz^2,7, R. T. Scalettar⁸, and T. P. Devereaux^2,9

¹Department of Physics, Stanford University, Stanford, California 94305, USA
²Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory and Stanford University, Menlo Park, California 94025, USA
³School of Applied and Engineering Physics, Cornell University, Ithaca, New York 14853, USA
⁴Department of Applied Physics, Stanford University, Stanford, California 94305, USA
⁵Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
⁶Joint Institute for Advanced Materials, University of Tennessee, Knoxville, Tennessee 37996, USA
⁷Department of Physics and Astrophysics, University of North Dakota, Grand Forks, North Dakota 58202, USA
⁸Department of Physics, University of California - Davis, Davis, California 95616, USA
⁹Geballe Laboratory for Advanced Materials, Stanford University, Stanford, California 94305, USA

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Vol. 92, Iss. 19 — 15 November 2015

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