Twotemperature scales in the triangularlattice Heisenberg antiferromagnet
Abstract
The anomalous thermodynamic properties of the paradigmatic frustrated spin1/2 triangularlattice Heisenberg antiferromagnet (TLH) has remained an open topic of research over decades, both experimentally and theoretically. We further the theoretical understanding based on the recently developed, powerful exponential tensor renormalization group method on cylinders and stripes in a quasionedimensional (1D) setup, as well as a tensor product operator approach directly in 2D. The observed thermal properties of the TLH are in excellent agreement with two recent experimental measurements on the virtually ideal TLH material $${\mathrm{Ba}}_{8}{\mathrm{CoNb}}_{6}{\mathrm{O}}_{24}$$. Remarkably, our numerical simulations reveal two crossover temperature scales, at $${T}_{l}/J{\sim}0.20$$ and $${T}_{h}/J{\sim}0.55$$, with $J$ the Heisenberg exchange coupling, which are also confirmed by a more careful inspection of the experimental data. We propose that in the intermediate regime between the lowtemperature scale $${T}_{l}$$ and the higher one $${T}_{h}$$, the "rotonlike" excitations are activated with a strong chiral component and a large contribution to thermal entropies. Bearing remarkable resemblance to the renowned roton thermodynamics in liquid helium, these gapped excitations suppress the incipient $${120}^{{\circ}}$$ order that emerges for temperatures below $${T}_{l}$$.
 Authors:

 Beihang Univ., Beijing (China). Dept. of Physics. Key Lab. of MicroNano MeasurementManipulation and Physics
 Beihang Univ., Beijing (China). Dept. of Physics. Key Lab. of MicroNano MeasurementManipulation and Physics; Ludwig Maximilian Univ. of Munich (Germany). Munich Center for Quantum Science and Technology (MCQST). Arnold Sommerfeld Center for Theoretical Physics (ASC). Center for NanoScience (CeNS)
 Ludwig Maximilian Univ. of Munich (Germany). Munich Center for Quantum Science and Technology (MCQST). Arnold Sommerfeld Center for Theoretical Physics (ASC). Center for NanoScience (CeNS)
 Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Condensed Matter Physics and Materials Science; Ludwig Maximilian Univ. of Munich (Germany). Munich Center for Quantum Science and Technology (MCQST). Arnold Sommerfeld Center for Theoretical Physics (ASC). Center for NanoScience (CeNS)
 Beihang Univ., Beijing (China). Dept. of Physics. Key Lab. of MicroNano MeasurementManipulation and Physics. International Research Inst. of Multidisciplinary Science
 Publication Date:
 Research Org.:
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Sponsoring Org.:
 National Natural Science Foundation of China (NNSFC); Fundamental Research Funds for the Central Universities (China); German Research Foundation (DFG); USDOE Office of Science (SC), Basic Energy Sciences (BES)
 OSTI Identifier:
 1515152
 Alternate Identifier(s):
 OSTI ID: 1506155
 Report Number(s):
 BNL2116182019JAAM
Journal ID: ISSN 24699950
 Grant/Contract Number:
 SC0012704; 11504014; 11834014; 11874078; EXC2111–390814868; WE4819/31; WE4819/21
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 99; Journal Issue: 14; Journal ID: ISSN 24699950
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Chen, Lei, Qu, DaiWei, Li, Han, Chen, BinBin, Gong, ShouShu, von Delft, Jan, Weichselbaum, Andreas, and Li, Wei. Twotemperature scales in the triangularlattice Heisenberg antiferromagnet. United States: N. p., 2019.
Web. https://doi.org/10.1103/PhysRevB.99.140404.
Chen, Lei, Qu, DaiWei, Li, Han, Chen, BinBin, Gong, ShouShu, von Delft, Jan, Weichselbaum, Andreas, & Li, Wei. Twotemperature scales in the triangularlattice Heisenberg antiferromagnet. United States. https://doi.org/10.1103/PhysRevB.99.140404
Chen, Lei, Qu, DaiWei, Li, Han, Chen, BinBin, Gong, ShouShu, von Delft, Jan, Weichselbaum, Andreas, and Li, Wei. Wed .
"Twotemperature scales in the triangularlattice Heisenberg antiferromagnet". United States. https://doi.org/10.1103/PhysRevB.99.140404. https://www.osti.gov/servlets/purl/1515152.
@article{osti_1515152,
title = {Twotemperature scales in the triangularlattice Heisenberg antiferromagnet},
author = {Chen, Lei and Qu, DaiWei and Li, Han and Chen, BinBin and Gong, ShouShu and von Delft, Jan and Weichselbaum, Andreas and Li, Wei},
abstractNote = {The anomalous thermodynamic properties of the paradigmatic frustrated spin1/2 triangularlattice Heisenberg antiferromagnet (TLH) has remained an open topic of research over decades, both experimentally and theoretically. We further the theoretical understanding based on the recently developed, powerful exponential tensor renormalization group method on cylinders and stripes in a quasionedimensional (1D) setup, as well as a tensor product operator approach directly in 2D. The observed thermal properties of the TLH are in excellent agreement with two recent experimental measurements on the virtually ideal TLH material ${\mathrm{Ba}}_{8}{\mathrm{CoNb}}_{6}{\mathrm{O}}_{24}$. Remarkably, our numerical simulations reveal two crossover temperature scales, at ${T}_{l}/J{\sim}0.20$ and ${T}_{h}/J{\sim}0.55$, with $J$ the Heisenberg exchange coupling, which are also confirmed by a more careful inspection of the experimental data. We propose that in the intermediate regime between the lowtemperature scale ${T}_{l}$ and the higher one ${T}_{h}$, the "rotonlike" excitations are activated with a strong chiral component and a large contribution to thermal entropies. Bearing remarkable resemblance to the renowned roton thermodynamics in liquid helium, these gapped excitations suppress the incipient ${120}^{{\circ}}$ order that emerges for temperatures below ${T}_{l}$.},
doi = {10.1103/PhysRevB.99.140404},
journal = {Physical Review B},
number = 14,
volume = 99,
place = {United States},
year = {2019},
month = {4}
}
Web of Science
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