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Title: Chirality density wave of the "hidden order" phase in URu2Si2

Abstract

A second-order phase transition in a physical system is associated with the emergence of an “order parameter” and a spontaneous symmetry breaking. The heavy fermion superconductor URu2Si2 has a “hidden order” (HO) phase below the temperature of 17.5 kelvin; the symmetry of the associated order parameter has remained ambiguous. In this study, we use polarization-resolved Raman spectroscopy to specify the symmetry of the low-energy excitations above and below the HO transition. We determine that the HO parameter breaks local vertical and diagonal reflection symmetries at the uranium sites, resulting in crystal field states with distinct chiral properties, which order to a commensurate chirality density wave ground state.

Authors:
ORCiD logo [1];  [2];  [1];  [2];  [2];  [2];  [3];  [2]
+ Show Author Affiliations
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Rutgers Univ., Piscataway, NJ (United States)
  3. Leiden Univ. (Netherlands). Kamerlingh Onnes Lab.
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF)
OSTI Identifier:
1680010
Report Number(s):
LA-UR-15-27086
Journal ID: ISSN 0036-8075
Grant/Contract Number:  
89233218CNA000001; SC0005463; DMR-1104884; DMR-0844115
Resource Type:
Accepted Manuscript
Journal Name:
Science
Additional Journal Information:
Journal Volume: 347; Journal Issue: 6228; Journal ID: ISSN 0036-8075
Publisher:
AAAS
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats

Bauer, Eric Dietzgen, Kung, H.-H., Baumbach, R. E., Thorsmolle, V. K., Zhang, W.-L., Haule, K., Mydosh, J. A., and Blumberg, G. Chirality density wave of the "hidden order" phase in URu2Si2. United States: N. p., 2015. Web. doi:10.1126/science.1259729.
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Bauer, Eric Dietzgen, Kung, H.-H., Baumbach, R. E., Thorsmolle, V. K., Zhang, W.-L., Haule, K., Mydosh, J. A., & Blumberg, G. Chirality density wave of the "hidden order" phase in URu2Si2. United States. https://doi.org/10.1126/science.1259729
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Bauer, Eric Dietzgen, Kung, H.-H., Baumbach, R. E., Thorsmolle, V. K., Zhang, W.-L., Haule, K., Mydosh, J. A., and Blumberg, G. Fri . "Chirality density wave of the "hidden order" phase in URu2Si2". United States. https://doi.org/10.1126/science.1259729. https://www.osti.gov/servlets/purl/1680010.
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@article{osti_1680010,
title = {Chirality density wave of the "hidden order" phase in URu2Si2},
author = {Bauer, Eric Dietzgen and Kung, H.-H. and Baumbach, R. E. and Thorsmolle, V. K. and Zhang, W.-L. and Haule, K. and Mydosh, J. A. and Blumberg, G.},
abstractNote = {A second-order phase transition in a physical system is associated with the emergence of an “order parameter” and a spontaneous symmetry breaking. The heavy fermion superconductor URu2Si2 has a “hidden order” (HO) phase below the temperature of 17.5 kelvin; the symmetry of the associated order parameter has remained ambiguous. In this study, we use polarization-resolved Raman spectroscopy to specify the symmetry of the low-energy excitations above and below the HO transition. We determine that the HO parameter breaks local vertical and diagonal reflection symmetries at the uranium sites, resulting in crystal field states with distinct chiral properties, which order to a commensurate chirality density wave ground state.},
doi = {10.1126/science.1259729},
journal = {Science},
number = 6228,
volume = 347,
place = {United States},
year = {Fri Mar 20 00:00:00 EDT 2015},
month = {Fri Mar 20 00:00:00 EDT 2015}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1126/science.1259729
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Figures / Tables:

Figure 1 Figure 1: Schematics of the local symmetry and band structure of the quasi-localized states in the minimal model, above and below $T$HO. (A) The crystal structure of URu2Si2 in the paramagnetic phase. Presented in 3D and $xy$-plane cut are wave functions that show the symmetry of the $A$2$g$ state |𝟘〉more » and $A$1$g$ |𝟙〉, where the positive (negative) amplitude is denoted by red (blue) color. The $A$1$g$ state is symmetric with respect to the vertical and diagonal reflections, while the $A$2$g$ state is antisymmetric with respect to these reflections. (B) Schematic of the band structure of a minimal model in the paramagnetic state. The green dashed line denotes the conduction band |$CB$〉, the red and black dashed lines denote crystal field states of the U 5$f$ electrons: the ground state |𝟘〉 and the first excited state |𝟙〉. A cartoon of the Raman process is shown, where the blue and red arrows denote the incident and scattered light, respectively. $ω_L$ is the incoming photon energy (not in scale), $\mathbb{W}$ is the hybridization strength between |𝟙〉 and |$CB$〉, $ω_0$ and $ε_k$ are the resonance energies for |𝟘〉 → |𝟙〉 and |𝟘〉 → |$CB$〉, respectively. (C) The crystal structure of URu2Si2 in the HO phase, and wave functions that show the symmetry of the chiral states |𝟘$^{L}_{HO}$〉 and |𝟘$^{R}_{HO}$〉, and the excited state |𝟙HO〉. The left- and right-handed states, denoted by red and blue atoms, respectively, are staggered in the lattice as shown. (D) Show schematics of chirality density wave, where the chiral states are staggered in the lattice (left). The right figure shows one of the possible excited state of the chirality density wave, where the chiral state |𝟘$^{R}_{HO}$〉 at lattice site U2 is excited to |𝟙HO〉.« less
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    Persistent coherence of quantum superpositions in an optimally doped cuprate revealed by 2D spectroscopy
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