Rotational Symmetry

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R J Birgeneau - One of the best experts on this subject based on the ideXlab platform.

  • strain induced spin nematic state and nematic susceptibility arising from 2 2 fe clusters in kfe0 8ag1 2te2
    Physical Review Letters, 2019
    Co-Authors: Yu Song, Dongsheng Yuan, Edith Bourretcourchesne, R J Birgeneau
    Abstract:

    Spin nematics break spin-Rotational Symmetry while maintaining time-reversal Symmetry, analogous to liquid crystal nematics that break spatial Rotational Symmetry while maintaining translational Symmetry. Although several candidate spin nematics have been proposed, the identification and characterization of such a state remain challenging because the spin-nematic order parameter does not couple directly to experimental probes. KFe_{0.8}Ag_{1.2}Te_{2} (K_{5}Fe_{4}Ag_{6}Te_{10}, KFAT) is a local-moment magnet consisting of well-separated 2×2 Fe clusters, and in its ground state the clusters order magnetically, breaking both spin-Rotational and time-reversal symmetries. Using uniform magnetic susceptibility and neutron scattering measurements, we find a small strain induces sizable spin anisotropy in the paramagnetic state of KFAT, manifestly breaking spin-Rotational Symmetry while retaining time-reversal Symmetry, resulting in a strain-induced spin-nematic state in which the 2×2 clusters act as the spin analog of molecules in a liquid crystal nematic. The strain-induced spin anisotropy in KFAT allows us to probe its nematic susceptibility, revealing a divergentlike increase upon cooling, indicating the ordered ground state is driven by a spin-orbital entangled nematic order parameter.

  • strain induced spin nematic state and nematic susceptibility arising from 2 2 fe clusters in kfe 0 8 ag 1 2 te 2
    Physical Review Letters, 2019
    Co-Authors: Yu Song, Dongsheng Yuan, Edith Bourretcourchesne, R J Birgeneau
    Abstract:

    Spin nematics break spin-Rotational Symmetry while maintaining time-reversal Symmetry, analogous to liquid crystal nematics that break spatial Rotational Symmetry while maintaining translational Symmetry. Although several candidate spin nematics have been proposed, the identification and characterization of such a state remain challenging because the spin-nematic order parameter does not couple directly to experimental probes. KFe_{0.8}Ag_{1.2}Te_{2} (K_{5}Fe_{4}Ag_{6}Te_{10}, KFAT) is a local-moment magnet consisting of well-separated 2×2 Fe clusters, and in its ground state the clusters order magnetically, breaking both spin-Rotational and time-reversal symmetries. Using uniform magnetic susceptibility and neutron scattering measurements, we find a small strain induces sizable spin anisotropy in the paramagnetic state of KFAT, manifestly breaking spin-Rotational Symmetry while retaining time-reversal Symmetry, resulting in a strain-induced spin-nematic state in which the 2×2 clusters act as the spin analog of molecules in a liquid crystal nematic. The strain-induced spin anisotropy in KFAT allows us to probe its nematic susceptibility, revealing a divergentlike increase upon cooling, indicating the ordered ground state is driven by a spin-orbital entangled nematic order parameter.

Yu Song - One of the best experts on this subject based on the ideXlab platform.

  • strain induced spin nematic state and nematic susceptibility arising from 2 2 fe clusters in kfe0 8ag1 2te2
    Physical Review Letters, 2019
    Co-Authors: Yu Song, Dongsheng Yuan, Edith Bourretcourchesne, R J Birgeneau
    Abstract:

    Spin nematics break spin-Rotational Symmetry while maintaining time-reversal Symmetry, analogous to liquid crystal nematics that break spatial Rotational Symmetry while maintaining translational Symmetry. Although several candidate spin nematics have been proposed, the identification and characterization of such a state remain challenging because the spin-nematic order parameter does not couple directly to experimental probes. KFe_{0.8}Ag_{1.2}Te_{2} (K_{5}Fe_{4}Ag_{6}Te_{10}, KFAT) is a local-moment magnet consisting of well-separated 2×2 Fe clusters, and in its ground state the clusters order magnetically, breaking both spin-Rotational and time-reversal symmetries. Using uniform magnetic susceptibility and neutron scattering measurements, we find a small strain induces sizable spin anisotropy in the paramagnetic state of KFAT, manifestly breaking spin-Rotational Symmetry while retaining time-reversal Symmetry, resulting in a strain-induced spin-nematic state in which the 2×2 clusters act as the spin analog of molecules in a liquid crystal nematic. The strain-induced spin anisotropy in KFAT allows us to probe its nematic susceptibility, revealing a divergentlike increase upon cooling, indicating the ordered ground state is driven by a spin-orbital entangled nematic order parameter.

  • strain induced spin nematic state and nematic susceptibility arising from 2 2 fe clusters in kfe 0 8 ag 1 2 te 2
    Physical Review Letters, 2019
    Co-Authors: Yu Song, Dongsheng Yuan, Edith Bourretcourchesne, R J Birgeneau
    Abstract:

    Spin nematics break spin-Rotational Symmetry while maintaining time-reversal Symmetry, analogous to liquid crystal nematics that break spatial Rotational Symmetry while maintaining translational Symmetry. Although several candidate spin nematics have been proposed, the identification and characterization of such a state remain challenging because the spin-nematic order parameter does not couple directly to experimental probes. KFe_{0.8}Ag_{1.2}Te_{2} (K_{5}Fe_{4}Ag_{6}Te_{10}, KFAT) is a local-moment magnet consisting of well-separated 2×2 Fe clusters, and in its ground state the clusters order magnetically, breaking both spin-Rotational and time-reversal symmetries. Using uniform magnetic susceptibility and neutron scattering measurements, we find a small strain induces sizable spin anisotropy in the paramagnetic state of KFAT, manifestly breaking spin-Rotational Symmetry while retaining time-reversal Symmetry, resulting in a strain-induced spin-nematic state in which the 2×2 clusters act as the spin analog of molecules in a liquid crystal nematic. The strain-induced spin anisotropy in KFAT allows us to probe its nematic susceptibility, revealing a divergentlike increase upon cooling, indicating the ordered ground state is driven by a spin-orbital entangled nematic order parameter.

Ruixing Liang - One of the best experts on this subject based on the ideXlab platform.

  • response to comment on broken translational and Rotational Symmetry via charge stripe order in underdoped yba2cu3o6 y
    Science, 2016
    Co-Authors: Riccardo Comin, R Sutarto, E H Da Silva Neto, L Chauviere, Ruixing Liang, Walter Hardy, D A Bonn, G A Sawatzky, A Damascelli
    Abstract:

    Fine questions our interpretation of unidirectional stripes over a bidirectional checkerboard and illustrates his criticism by simulating a momentum space structure consistent with our data and corresponding to a checkerboard-looking real space density. Here, we use a local Rotational-Symmetry analysis to demonstrate that the simulated image is actually composed of locally unidirectional modulations of the charge density, consistent with our original conclusions.

  • broken Rotational Symmetry in the pseudogap phase of a high tc superconductor
    Nature, 2010
    Co-Authors: B J Ramshaw, R. Daou, F. Laliberte, N Doironleyraud, Ruixing Liang, O Cyrchoiniere, J Chang, David Leboeuf
    Abstract:

    Knowledge of the nature of the pseudogap phase is critical to understanding the properties of high-transition-temperature (high-Tc) copper oxide superconductors. A fundamental question is what symmetries are broken when that phase sets in below a certain temperature, T*. Daou et al. report the observation of a large in-plane anisotropy of the Nernst effect in YBa2Cu3Oy that sets in precisely at T*, throughout the doping phase diagram. They show that the CuO chains of the orthorhombic lattice are not responsible for this anisotropy, which is therefore an intrinsic property of the CuO2 planes. They conclude that the pseudogap phase is an electronic state that strongly breaks fourfold Rotational Symmetry. This narrows the range of possible states considerably, pointing to stripe or nematic order. In the study of high-transition-temperature (high-Tc) copper oxide superconductors, a fundamental question is what symmetries are broken when the pseudogap phase sets in below a temperature T*. A large in-plane anisotropy of the Nernst effect is now observed in a high-Tc copper oxide superconductor that sets in precisely at T* throughout the doping phase diagram. It is concluded that the pseudogap phase is an electronic state that strongly breaks four-fold Rotational Symmetry. The nature of the pseudogap phase is a central problem in the effort to understand the high-transition-temperature (high-Tc) copper oxide superconductors1. A fundamental question is what symmetries are broken when the pseudogap phase sets in, which occurs when the temperature decreases below a value T*. There is evidence from measurements of both polarized neutron diffraction2,3 and the polar Kerr effect4 that time-reversal Symmetry is broken, but at temperatures that differ significantly from one another. Broken Rotational Symmetry was detected from both resistivity measurements5 and inelastic neutron scattering6,7,8 at low doping, and from scanning tunnelling spectroscopy9,10 at low temperature, but showed no clear relation to T*. Here we report the observation of a large in-plane anisotropy of the Nernst effect in YBa2Cu3O y that sets in precisely at T* throughout the doping phase diagram. We show that the CuO chains of the orthorhombic lattice are not responsible for this anisotropy, which is therefore an intrinsic property of the CuO2 planes. We conclude that the pseudogap phase is an electronic state that strongly breaks four-fold Rotational Symmetry. This narrows the range of possible states considerably, pointing to stripe or nematic order11,12.

  • broken Rotational Symmetry in the pseudogap phase of a high tc superconductor
    Nature, 2010
    Co-Authors: R. Daou, B J Ramshaw, F. Laliberte, N Doironleyraud, Ruixing Liang, O Cyrchoiniere, J Chang, David Leboeuf, D A Bonn
    Abstract:

    The nature of the pseudogap phase is a central problem in the effort to understand the high-transition-temperature (high-T(c)) copper oxide superconductors. A fundamental question is what symmetries are broken when the pseudogap phase sets in, which occurs when the temperature decreases below a value T*. There is evidence from measurements of both polarized neutron diffraction and the polar Kerr effect that time-reversal Symmetry is broken, but at temperatures that differ significantly from one another. Broken Rotational Symmetry was detected from both resistivity measurements and inelastic neutron scattering at low doping, and from scanning tunnelling spectroscopy at low temperature, but showed no clear relation to T*. Here we report the observation of a large in-plane anisotropy of the Nernst effect in YBa(2)Cu(3)O(y) that sets in precisely at T* throughout the doping phase diagram. We show that the CuO chains of the orthorhombic lattice are not responsible for this anisotropy, which is therefore an intrinsic property of the CuO(2) planes. We conclude that the pseudogap phase is an electronic state that strongly breaks four-fold Rotational Symmetry. This narrows the range of possible states considerably, pointing to stripe or nematic order.

R. Daou - One of the best experts on this subject based on the ideXlab platform.

  • broken Rotational Symmetry in the pseudogap phase of a high tc superconductor
    Nature, 2010
    Co-Authors: B J Ramshaw, R. Daou, F. Laliberte, N Doironleyraud, Ruixing Liang, O Cyrchoiniere, J Chang, David Leboeuf
    Abstract:

    Knowledge of the nature of the pseudogap phase is critical to understanding the properties of high-transition-temperature (high-Tc) copper oxide superconductors. A fundamental question is what symmetries are broken when that phase sets in below a certain temperature, T*. Daou et al. report the observation of a large in-plane anisotropy of the Nernst effect in YBa2Cu3Oy that sets in precisely at T*, throughout the doping phase diagram. They show that the CuO chains of the orthorhombic lattice are not responsible for this anisotropy, which is therefore an intrinsic property of the CuO2 planes. They conclude that the pseudogap phase is an electronic state that strongly breaks fourfold Rotational Symmetry. This narrows the range of possible states considerably, pointing to stripe or nematic order. In the study of high-transition-temperature (high-Tc) copper oxide superconductors, a fundamental question is what symmetries are broken when the pseudogap phase sets in below a temperature T*. A large in-plane anisotropy of the Nernst effect is now observed in a high-Tc copper oxide superconductor that sets in precisely at T* throughout the doping phase diagram. It is concluded that the pseudogap phase is an electronic state that strongly breaks four-fold Rotational Symmetry. The nature of the pseudogap phase is a central problem in the effort to understand the high-transition-temperature (high-Tc) copper oxide superconductors1. A fundamental question is what symmetries are broken when the pseudogap phase sets in, which occurs when the temperature decreases below a value T*. There is evidence from measurements of both polarized neutron diffraction2,3 and the polar Kerr effect4 that time-reversal Symmetry is broken, but at temperatures that differ significantly from one another. Broken Rotational Symmetry was detected from both resistivity measurements5 and inelastic neutron scattering6,7,8 at low doping, and from scanning tunnelling spectroscopy9,10 at low temperature, but showed no clear relation to T*. Here we report the observation of a large in-plane anisotropy of the Nernst effect in YBa2Cu3O y that sets in precisely at T* throughout the doping phase diagram. We show that the CuO chains of the orthorhombic lattice are not responsible for this anisotropy, which is therefore an intrinsic property of the CuO2 planes. We conclude that the pseudogap phase is an electronic state that strongly breaks four-fold Rotational Symmetry. This narrows the range of possible states considerably, pointing to stripe or nematic order11,12.

  • broken Rotational Symmetry in the pseudogap phase of a high tc superconductor
    Nature, 2010
    Co-Authors: R. Daou, B J Ramshaw, F. Laliberte, N Doironleyraud, Ruixing Liang, O Cyrchoiniere, J Chang, David Leboeuf, D A Bonn
    Abstract:

    The nature of the pseudogap phase is a central problem in the effort to understand the high-transition-temperature (high-T(c)) copper oxide superconductors. A fundamental question is what symmetries are broken when the pseudogap phase sets in, which occurs when the temperature decreases below a value T*. There is evidence from measurements of both polarized neutron diffraction and the polar Kerr effect that time-reversal Symmetry is broken, but at temperatures that differ significantly from one another. Broken Rotational Symmetry was detected from both resistivity measurements and inelastic neutron scattering at low doping, and from scanning tunnelling spectroscopy at low temperature, but showed no clear relation to T*. Here we report the observation of a large in-plane anisotropy of the Nernst effect in YBa(2)Cu(3)O(y) that sets in precisely at T* throughout the doping phase diagram. We show that the CuO chains of the orthorhombic lattice are not responsible for this anisotropy, which is therefore an intrinsic property of the CuO(2) planes. We conclude that the pseudogap phase is an electronic state that strongly breaks four-fold Rotational Symmetry. This narrows the range of possible states considerably, pointing to stripe or nematic order.

Y. S. Hor - One of the best experts on this subject based on the ideXlab platform.

  • Rotational Symmetry breaking in a trigonal superconductor nb doped bi2se3
    Physical Review X, 2017
    Co-Authors: Tomoya Asaba, Colin Tinsman, Paul Corbae, Y. Qiu, Lu Chen, Benjamin Lawson, Y. S. Hor
    Abstract:

    The search for unconventional superconductivity has been focused on materials with strong spin-orbit coupling and unique crystal lattices. Doped bismuth selenide (Bi2Se3) is a strong candidate, given the topological insulator nature of the parent compound and its triangular lattice. The coupling between the physical properties in the superconducting state and its underlying crystal Symmetry is a crucial test for unconventional superconductivity. In this paper, we report direct evidence that the superconducting magnetic response couples strongly to the underlying trigonal crystal Symmetry in the recently discovered superconductor with trigonal crystal structure, niobium (Nb)-doped Bi2Se3. As a result, the in-plane magnetic torque signal vanishes every 60°. More importantly, the superconducting hysteresis loop amplitude is enhanced along one preferred direction, spontaneously breaking the Rotational Symmetry. This observation indicates the presence of nematic order in the superconducting ground state of Nb-doped Bi2Se3. DOI:https://doi.org/10.1103/PhysRevX.7.011009 Published by the American Physical Society under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Published by the American Physical Society

  • Rotational Symmetry breaking in a trigonal superconductor Nb-doped Bi2Se3
    Physical Review X, 2017
    Co-Authors: Tomoya Asaba, Y. S. Hor, B. J. Lawson, Colin Tinsman, Paul Corbae, Liang Fu, Gang Li, Y. Qiu, Lu Chen, Lu Li
    Abstract:

    The search for unconventional superconductivity has been focused on materials with strong spin-orbit coupling and unique crystal lattices. Doped bismuth selenide (Bi$_2$Se$_3$) is a strong candidate given the topological insulator nature of the parent compound and its triangular lattice. The coupling between the physical properties in the superconducting state and its underlying crystal Symmetry is a crucial test for unconventional superconductivity. In this paper, we report direct evidence that the superconducting magnetic response couples strongly to the underlying 3-fold crystal Symmetry in the recently discovered superconductor with trigonal crystal structure, niobium (Nb)-doped bismuth selenide (Bi$_2$Se$_3$). More importantly, we observed that the magnetic response is greatly enhanced along one preferred direction spontaneously breaking the Rotational Symmetry. Instead of a simple 3-fold crystalline Symmetry, the superconducting hysteresis loop shows dominating 2-fold and 4-fold Symmetry. This observation confirms the breaking of the Rotational Symmetry and indicates the presence of nematic order in the superconducting ground state of Nb-doped Bi$_2$Se$_3$. Further, heat capacity measurements display an exponential decay in superconducting state and suggest that there is no line node in the superconducting gap. These observations provide strong evidence of odd-parity topological superconductivity.