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Title: Quantum critical point revisited by dynamical mean-field theory

Dynamical mean-field theory is used to study the quantum critical point (QCP) in the doped Hubbard model on a square lattice. We characterize the QCP by a universal scaling form of the self-energy and a spin density wave instability at an incommensurate wave vector. The scaling form unifies the low-energy kink and the high-energy waterfall feature in the spectral function, while the spin dynamics includes both the critical incommensurate and high-energy antiferromagnetic paramagnons. Here, we use the frequency-dependent four-point correlation function of spin operators to calculate the momentum-dependent correction to the electron self-energy. Furthermore, by comparing with the calculations based on the spin-fermion model, our results indicate the frequency dependence of the quasiparticle-paramagnon vertices is an important factor to capture the momentum dependence in quasiparticle scattering.
Authors:
 [1] ;  [2] ;  [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States). Division of Condensed Matter Physics and Material Science
  2. Brookhaven National Lab. (BNL), Upton, NY (United States). Division of Condensed Matter Physics and Material Science; Rutgers Univ., Piscataway, NJ (United States). Dept. of Physics and Astronomy
Publication Date:
Report Number(s):
BNL-113975-2017-JA
Journal ID: ISSN 2469-9950; PRBMDO; R&D Project: PO015; KC0202030; TRN: US1702668
Grant/Contract Number:
SC00112704; FOA-0001276
Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 12; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
OSTI Identifier:
1372440
Alternate Identifier(s):
OSTI ID: 1349541

Xu, Wenhu, Kotliar, Gabriel, and Tsvelik, Alexei M. Quantum critical point revisited by dynamical mean-field theory. United States: N. p., Web. doi:10.1103/PhysRevB.95.121113.
Xu, Wenhu, Kotliar, Gabriel, & Tsvelik, Alexei M. Quantum critical point revisited by dynamical mean-field theory. United States. doi:10.1103/PhysRevB.95.121113.
Xu, Wenhu, Kotliar, Gabriel, and Tsvelik, Alexei M. 2017. "Quantum critical point revisited by dynamical mean-field theory". United States. doi:10.1103/PhysRevB.95.121113. https://www.osti.gov/servlets/purl/1372440.
@article{osti_1372440,
title = {Quantum critical point revisited by dynamical mean-field theory},
author = {Xu, Wenhu and Kotliar, Gabriel and Tsvelik, Alexei M.},
abstractNote = {Dynamical mean-field theory is used to study the quantum critical point (QCP) in the doped Hubbard model on a square lattice. We characterize the QCP by a universal scaling form of the self-energy and a spin density wave instability at an incommensurate wave vector. The scaling form unifies the low-energy kink and the high-energy waterfall feature in the spectral function, while the spin dynamics includes both the critical incommensurate and high-energy antiferromagnetic paramagnons. Here, we use the frequency-dependent four-point correlation function of spin operators to calculate the momentum-dependent correction to the electron self-energy. Furthermore, by comparing with the calculations based on the spin-fermion model, our results indicate the frequency dependence of the quasiparticle-paramagnon vertices is an important factor to capture the momentum dependence in quasiparticle scattering.},
doi = {10.1103/PhysRevB.95.121113},
journal = {Physical Review B},
number = 12,
volume = 95,
place = {United States},
year = {2017},
month = {3}
}