Identification of non-Fermi liquid fermionic self-energy from quantum Monte Carlo data
Abstract
Quantum Monte Carlo (QMC) simulations of correlated electron systems provide unbiased information about system behavior at a quantum critical point (QCP) and can verify or disprove the existing theories of non-Fermi liquid (NFL) behavior at a QCP. However, simulations are carried out at a finite temperature, where quantum critical features are masked by finite-temperature effects. Here, we present a theoretical framework within which it is possible to separate thermal and quantum effects and extract the information about NFL physics at T = 0. We demonstrate our method for a specific example of 2D fermions near an Ising ferromagnetic QCP. We show that one can extract from QMC data the zero-temperature form of fermionic self-energy Σ(ω) even though the leading contribution to the self-energy comes from thermal effects. We find that the frequency dependence of Σ(ω) agrees well with the analytic form obtained within the Eliashberg theory of dynamical quantum criticality, and obeys ω2/3 scaling at low frequencies. Our results open up an avenue for QMC studies of quantum critical metals.
- Authors:
-
[1];
[3];
[4]
- University of California at San Diego, La Jolla, CA (United States)
- University of Minnesota, Minneapolis, MN (United States)
- University of Michigan, Ann Arbor, MI (United States)
- The University of Hong Kong (China); Chinese Academy of Sciences (CAS), Beijing (China); Songshan Lake Materials Laboratory, Guangdong (China)
- Publication Date:
- Research Org.:
- Univ. of Minnesota, Minneapolis, MN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1660767
- Grant/Contract Number:
- SC0014402
- Resource Type:
- Accepted Manuscript
- Journal Name:
- npj Quantum Materials
- Additional Journal Information:
- Journal Volume: 5; Journal Issue: 1; Journal ID: ISSN 2397-4648
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Superconductivity; quantum-critical point; phase transitions and critical phenomena
Citation Formats
Xu, Xiao Yan, Klein, Avraham, Sun, Kai, Chubukov, Andrey V., and Meng, Zi Yang. Identification of non-Fermi liquid fermionic self-energy from quantum Monte Carlo data. United States: N. p., 2020.
Web. doi:10.1038/s41535-020-00266-6.
Xu, Xiao Yan, Klein, Avraham, Sun, Kai, Chubukov, Andrey V., & Meng, Zi Yang. Identification of non-Fermi liquid fermionic self-energy from quantum Monte Carlo data. United States. https://doi.org/10.1038/s41535-020-00266-6
Xu, Xiao Yan, Klein, Avraham, Sun, Kai, Chubukov, Andrey V., and Meng, Zi Yang. Fri .
"Identification of non-Fermi liquid fermionic self-energy from quantum Monte Carlo data". United States. https://doi.org/10.1038/s41535-020-00266-6. https://www.osti.gov/servlets/purl/1660767.
@article{osti_1660767,
title = {Identification of non-Fermi liquid fermionic self-energy from quantum Monte Carlo data},
author = {Xu, Xiao Yan and Klein, Avraham and Sun, Kai and Chubukov, Andrey V. and Meng, Zi Yang},
abstractNote = {Quantum Monte Carlo (QMC) simulations of correlated electron systems provide unbiased information about system behavior at a quantum critical point (QCP) and can verify or disprove the existing theories of non-Fermi liquid (NFL) behavior at a QCP. However, simulations are carried out at a finite temperature, where quantum critical features are masked by finite-temperature effects. Here, we present a theoretical framework within which it is possible to separate thermal and quantum effects and extract the information about NFL physics at T = 0. We demonstrate our method for a specific example of 2D fermions near an Ising ferromagnetic QCP. We show that one can extract from QMC data the zero-temperature form of fermionic self-energy Σ(ω) even though the leading contribution to the self-energy comes from thermal effects. We find that the frequency dependence of Σ(ω) agrees well with the analytic form obtained within the Eliashberg theory of dynamical quantum criticality, and obeys ω2/3 scaling at low frequencies. Our results open up an avenue for QMC studies of quantum critical metals.},
doi = {10.1038/s41535-020-00266-6},
journal = {npj Quantum Materials},
number = 1,
volume = 5,
place = {United States},
year = {Fri Sep 11 00:00:00 EDT 2020},
month = {Fri Sep 11 00:00:00 EDT 2020}
}
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