Three-Dimensional Non-Fermi-Liquid Behavior from One-Dimensional Quantum Critical Local Moments
Abstract
We study the temperature dependence of the electrical resistivity in a system composed of critical spin chains interacting with three dimensional conduction electrons and driven to criticality via an external magnetic field. The relevant experimental system is Yb2Pt2Pb, a metal where itinerant electrons coexist with localized moments of Yb-ions which can be described in terms of effective S = 1/2 spins with dominantly one-dimensional exchange interaction. The spin subsystem becomes critical in a relatively weak magnetic field, where it behaves like a Luttinger liquid. We theoretically examine a Kondo lattice with different effective space dimensionalities of the two interacting subsystems. Lastly, we characterize the corresponding non-Fermi liquid behavior due to the spin criticality by calculating the electronic relaxation rate and the dc resistivity and establish its quasi linear temperature dependence.
- Authors:
-
- Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Dept.
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1433991
- Alternate Identifier(s):
- OSTI ID: 1432572
- Report Number(s):
- BNL-203534-2018-JAAM
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US1802376
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 120; Journal Issue: 15; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Classen, Laura, Zaliznyak, Igor, and Tsvelik, Alexei M. Three-Dimensional Non-Fermi-Liquid Behavior from One-Dimensional Quantum Critical Local Moments. United States: N. p., 2018.
Web. doi:10.1103/PhysRevLett.120.156404.
Classen, Laura, Zaliznyak, Igor, & Tsvelik, Alexei M. Three-Dimensional Non-Fermi-Liquid Behavior from One-Dimensional Quantum Critical Local Moments. United States. https://doi.org/10.1103/PhysRevLett.120.156404
Classen, Laura, Zaliznyak, Igor, and Tsvelik, Alexei M. Tue .
"Three-Dimensional Non-Fermi-Liquid Behavior from One-Dimensional Quantum Critical Local Moments". United States. https://doi.org/10.1103/PhysRevLett.120.156404. https://www.osti.gov/servlets/purl/1433991.
@article{osti_1433991,
title = {Three-Dimensional Non-Fermi-Liquid Behavior from One-Dimensional Quantum Critical Local Moments},
author = {Classen, Laura and Zaliznyak, Igor and Tsvelik, Alexei M.},
abstractNote = {We study the temperature dependence of the electrical resistivity in a system composed of critical spin chains interacting with three dimensional conduction electrons and driven to criticality via an external magnetic field. The relevant experimental system is Yb2Pt2Pb, a metal where itinerant electrons coexist with localized moments of Yb-ions which can be described in terms of effective S = 1/2 spins with dominantly one-dimensional exchange interaction. The spin subsystem becomes critical in a relatively weak magnetic field, where it behaves like a Luttinger liquid. We theoretically examine a Kondo lattice with different effective space dimensionalities of the two interacting subsystems. Lastly, we characterize the corresponding non-Fermi liquid behavior due to the spin criticality by calculating the electronic relaxation rate and the dc resistivity and establish its quasi linear temperature dependence.},
doi = {10.1103/PhysRevLett.120.156404},
journal = {Physical Review Letters},
number = 15,
volume = 120,
place = {United States},
year = {Tue Apr 10 00:00:00 EDT 2018},
month = {Tue Apr 10 00:00:00 EDT 2018}
}
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Figures / Tables:
FIG. 1: (a) Diagrammatic representation of the correction to the electron self-energy without and with renormalized spin propagator. (b) Dyson equation for the current vertex. The empty (black) triangle with the attached dotted line denotes the bare (full) current vertex. Solid (dashed) lines are electron (spin) propagators.
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Works referencing / citing this record:
Tomonaga–Luttinger liquid behavior and spinon confinement in YbAlO3
journal, February 2019
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- Nature Communications, Vol. 10, Issue 1
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.