Quantum critical singularities in two-dimensional metallic XY ferromagnets

Chandra M. Varma; W. J. Gannon; M. C. Aronson; J. A. Rodriguez-Rivera; Y. Qiu

doi:10.1103/PhysRevB.97.085134

Quantum critical singularities in two-dimensional metallic XY ferromagnets

Chandra M. Varma, W. J. Gannon, M. C. Aronson, J. A. Rodriguez-Rivera, Y. Qiu

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

An important problem in contemporary physics concerns quantum-critical fluctuations in metals. A scaling function for the momentum, frequency, temperature, and magnetic field dependence of the correlation function near a 2D-ferromagnetic quantum-critical point (QCP) is constructed, and its singularities are determined by comparing to the recent calculations of the correlation functions of the dissipative quantum XY model (DQXY). The calculations are motivated by the measured properties of the metallic compound YFe2Al10, which is a realization of the DQXY model in 2D. The frequency, temperature, and magnetic field dependence of the scaling function as well as the singularities measured in the experiments are given by the theory without adjustable exponents. The same model is applicable to the superconductor-insulator transitions, classes of metallic AFM-QCPs, and as fluctuations of the loop-current ordered state in hole-doped cuprates. The results presented here lend credence to the solution found for the 2D-DQXY model and its applications in understanding quantum-critical properties of diverse systems.

Original language	English
Article number	085134
Journal	Physical Review B
Volume	97
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevB.97.085134
State	Published - Feb 20 2018

Bibliographical note

Funding Information:
C.M.V. acknowledges with pleasure discussions with Joerg Schmalian and Alexei Tsvelik. Special thanks are due to Changtao Hou and Lijun Zhu who wrote the Monte-Carlo routines used for the results shown in Fig. 1 . Part of this research was conducted at Brookhaven National Laboratory, where W.J.G. and M.C.A. were supported under the auspices of the U.S. Department of Energy, Office of Basic Energy Sciences, under Contract No. DE-AC02-98CH1886. Access to MACS was provided by the Center for High Resolution Neutron Scattering, a partnership between the National Institute of Standards and Technology and the National Science Foundation under Agreement No. DMR-1508249.

Funding Information:
Part of this research was conducted at Brookhaven National Laboratory, where W.J.G. and M.C.A. were supported under the auspices of the U.S. Department of Energy, Office of Basic Energy Sciences, under Contract No. DE-AC02-98CH1886. Access to MACS was provided by the Center for High Resolution Neutron Scattering, a partnership between the National Institute of Standards and Technology and the National Science Foundation under Agreement No. DMR-1508249.

Publisher Copyright:
© 2018 American Physical Society.

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

Access to Document

10.1103/PhysRevB.97.085134

Cite this

@article{76144cc1ad714133b19266b337d5a0ca,

title = "Quantum critical singularities in two-dimensional metallic XY ferromagnets",

abstract = "An important problem in contemporary physics concerns quantum-critical fluctuations in metals. A scaling function for the momentum, frequency, temperature, and magnetic field dependence of the correlation function near a 2D-ferromagnetic quantum-critical point (QCP) is constructed, and its singularities are determined by comparing to the recent calculations of the correlation functions of the dissipative quantum XY model (DQXY). The calculations are motivated by the measured properties of the metallic compound YFe2Al10, which is a realization of the DQXY model in 2D. The frequency, temperature, and magnetic field dependence of the scaling function as well as the singularities measured in the experiments are given by the theory without adjustable exponents. The same model is applicable to the superconductor-insulator transitions, classes of metallic AFM-QCPs, and as fluctuations of the loop-current ordered state in hole-doped cuprates. The results presented here lend credence to the solution found for the 2D-DQXY model and its applications in understanding quantum-critical properties of diverse systems.",

author = "Varma, {Chandra M.} and Gannon, {W. J.} and Aronson, {M. C.} and Rodriguez-Rivera, {J. A.} and Y. Qiu",

note = "Funding Information: C.M.V. acknowledges with pleasure discussions with Joerg Schmalian and Alexei Tsvelik. Special thanks are due to Changtao Hou and Lijun Zhu who wrote the Monte-Carlo routines used for the results shown in Fig. 1 . Part of this research was conducted at Brookhaven National Laboratory, where W.J.G. and M.C.A. were supported under the auspices of the U.S. Department of Energy, Office of Basic Energy Sciences, under Contract No. DE-AC02-98CH1886. Access to MACS was provided by the Center for High Resolution Neutron Scattering, a partnership between the National Institute of Standards and Technology and the National Science Foundation under Agreement No. DMR-1508249. Funding Information: Part of this research was conducted at Brookhaven National Laboratory, where W.J.G. and M.C.A. were supported under the auspices of the U.S. Department of Energy, Office of Basic Energy Sciences, under Contract No. DE-AC02-98CH1886. Access to MACS was provided by the Center for High Resolution Neutron Scattering, a partnership between the National Institute of Standards and Technology and the National Science Foundation under Agreement No. DMR-1508249. Publisher Copyright: {\textcopyright} 2018 American Physical Society.",

year = "2018",

month = feb,

day = "20",

doi = "10.1103/PhysRevB.97.085134",

language = "English",

volume = "97",

number = "8",

}

TY - JOUR

T1 - Quantum critical singularities in two-dimensional metallic XY ferromagnets

AU - Varma, Chandra M.

AU - Gannon, W. J.

AU - Aronson, M. C.

AU - Rodriguez-Rivera, J. A.

AU - Qiu, Y.

N1 - Funding Information: C.M.V. acknowledges with pleasure discussions with Joerg Schmalian and Alexei Tsvelik. Special thanks are due to Changtao Hou and Lijun Zhu who wrote the Monte-Carlo routines used for the results shown in Fig. 1 . Part of this research was conducted at Brookhaven National Laboratory, where W.J.G. and M.C.A. were supported under the auspices of the U.S. Department of Energy, Office of Basic Energy Sciences, under Contract No. DE-AC02-98CH1886. Access to MACS was provided by the Center for High Resolution Neutron Scattering, a partnership between the National Institute of Standards and Technology and the National Science Foundation under Agreement No. DMR-1508249. Funding Information: Part of this research was conducted at Brookhaven National Laboratory, where W.J.G. and M.C.A. were supported under the auspices of the U.S. Department of Energy, Office of Basic Energy Sciences, under Contract No. DE-AC02-98CH1886. Access to MACS was provided by the Center for High Resolution Neutron Scattering, a partnership between the National Institute of Standards and Technology and the National Science Foundation under Agreement No. DMR-1508249. Publisher Copyright: © 2018 American Physical Society.

PY - 2018/2/20

Y1 - 2018/2/20

N2 - An important problem in contemporary physics concerns quantum-critical fluctuations in metals. A scaling function for the momentum, frequency, temperature, and magnetic field dependence of the correlation function near a 2D-ferromagnetic quantum-critical point (QCP) is constructed, and its singularities are determined by comparing to the recent calculations of the correlation functions of the dissipative quantum XY model (DQXY). The calculations are motivated by the measured properties of the metallic compound YFe2Al10, which is a realization of the DQXY model in 2D. The frequency, temperature, and magnetic field dependence of the scaling function as well as the singularities measured in the experiments are given by the theory without adjustable exponents. The same model is applicable to the superconductor-insulator transitions, classes of metallic AFM-QCPs, and as fluctuations of the loop-current ordered state in hole-doped cuprates. The results presented here lend credence to the solution found for the 2D-DQXY model and its applications in understanding quantum-critical properties of diverse systems.

AB - An important problem in contemporary physics concerns quantum-critical fluctuations in metals. A scaling function for the momentum, frequency, temperature, and magnetic field dependence of the correlation function near a 2D-ferromagnetic quantum-critical point (QCP) is constructed, and its singularities are determined by comparing to the recent calculations of the correlation functions of the dissipative quantum XY model (DQXY). The calculations are motivated by the measured properties of the metallic compound YFe2Al10, which is a realization of the DQXY model in 2D. The frequency, temperature, and magnetic field dependence of the scaling function as well as the singularities measured in the experiments are given by the theory without adjustable exponents. The same model is applicable to the superconductor-insulator transitions, classes of metallic AFM-QCPs, and as fluctuations of the loop-current ordered state in hole-doped cuprates. The results presented here lend credence to the solution found for the 2D-DQXY model and its applications in understanding quantum-critical properties of diverse systems.

UR - http://www.scopus.com/inward/record.url?scp=85043301854&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85043301854&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.97.085134

DO - 10.1103/PhysRevB.97.085134

M3 - Article

AN - SCOPUS:85043301854

VL - 97

IS - 8

M1 - 085134

ER -

Quantum critical singularities in two-dimensional metallic XY ferromagnets

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this