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Title: Magnetic correlations in a periodic Anderson model with nonuniform conduction electron coordination

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 93; Journal Issue: 23; Related Information: CHORUS Timestamp: 2016-06-23 11:08:30; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Hartman, N., Chiu, W. -T., and Scalettar, R. T. Magnetic correlations in a periodic Anderson model with nonuniform conduction electron coordination. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.93.235143.
Hartman, N., Chiu, W. -T., & Scalettar, R. T. Magnetic correlations in a periodic Anderson model with nonuniform conduction electron coordination. United States. doi:10.1103/PhysRevB.93.235143.
Hartman, N., Chiu, W. -T., and Scalettar, R. T. 2016. "Magnetic correlations in a periodic Anderson model with nonuniform conduction electron coordination". United States. doi:10.1103/PhysRevB.93.235143.
title = {Magnetic correlations in a periodic Anderson model with nonuniform conduction electron coordination},
author = {Hartman, N. and Chiu, W. -T. and Scalettar, R. T.},
abstractNote = {},
doi = {10.1103/PhysRevB.93.235143},
journal = {Physical Review B},
number = 23,
volume = 93,
place = {United States},
year = 2016,
month = 6

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Publisher's Version of Record at 10.1103/PhysRevB.93.235143

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  • The competition between antiferromagnetic (AF) order and singlet formation is a central phenomenon of the Kondo and periodic Anderson Hamiltonians and of the heavy fermion materials they describe. In this paper, we explore the effects of an additional conduction band on magnetism in these models, and, specifically, on changes in the AF-singlet quantum critical point (QCP) and the one particle and spin spectral functions. To understand the magnetic phase transition qualitatively, we first carry out a self-consistent mean field theory (MFT). The basic conclusion is that, at half filling, the coupling to the additional band stabilizes the AF phase tomore » larger f d hybridization V in the PAM. We also explore the possibility of competing ferromagnetic phases when this conduction band is doped away from half filling. Here, we next employ quantum Monte Carlo (QMC) which, in combination with finite size scaling, allows us to evaluate the position of the QCP using an exact treatment of the interactions. This approach confirms the stabilization of AF order, which occurs through an enhancement of the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction. QMC results for the spectral function A (q,ω) and dynamic spin structure factor χ (q,ω) yield additional insight into the AF-singlet competition and the low temperature phases.« less
  • We studied the effects of hole doping on spin correlations in the two-dimensional periodic Anderson model, mainly at the full and three-quarters-full lower bands cases. In the full lower band case, strong antiferromagnetic correlations develop when the on-site repulsive interaction strength U becomes comparable to the quasiparticle bandwidth. In the three-quarters full case, a kind of spin correlation develops that is consistent with the resonance between a ({pi},0) and a (0,{pi}) spin-density wave. In this state the spins on different sublattices appear uncorrelated. Hole doping away from the completely full case rapidly destroys the long-range antiferromagnetic correlations, in a mannermore » reminiscent of the destruction of antiferromagnetism in the Hubbard model. In contrast to the Hubbard model, the doping does not shift the peak in the magnetic structure factor from the ({pi},{pi}) position. At dopings intermediate to the full and three-quarters full cases, only weak spin correlations exist. {copyright} {ital 1998} {ital The American Physical Society}« less
  • The three-dimensional periodic Anderson model is studied with the quantum Monte Carlo method. We find that the crossover to the Kondo singlet regime is remarkably sharp at low temperatures, and that the behavior of magnetic correlations is consistently reflected in both the thermodynamics and the density of states. The abruptness of the transition suggests that energy changes associated with the screening of local moments by conduction electrons might be sufficient to drive large volume changes in systems where applied pressure tunes the ratio of interband hybridization to correlation energy. {copyright} {ital 1999} {ital The American Physical Society}
  • The ground-state energy, hybridization matrix element, local moment, and spin-density correlations of a one-dimensional, finite-chain, periodic, symmetric Anderson model are obtained by numerical simulations and compared with perturbation theory and strong-coupling results. We find that the local f-electron spins are compensated by correlation with other f electrons as well as band electrons leading to a nonmagnetic ground state.