scholarly journals Interplay of thermal and quantum spin fluctuations in the kagome lattice compound herbertsmithite

2010 ◽  
Vol 82 (14) ◽  
Author(s):  
Dirk Wulferding ◽  
Peter Lemmens ◽  
Patric Scheib ◽  
Jens Röder ◽  
Philippe Mendels ◽  
...  
Keyword(s):  
Quantum Spin ◽  
Spin Fluctuations ◽  
Kagome Lattice ◽  
Kagomé Lattice

scholarly journals Strongly correlated superconductivity in a copper-based metal-organic framework with a perfect kagome lattice

2021 ◽  
Vol 7 (12) ◽  
pp. eabf3996
Author(s):  
T. Takenaka ◽  
K. Ishihara ◽  
M. Roppongi ◽  
Y. Miao ◽  
Y. Mizukami ◽  
...  
Keyword(s):  
Metal Organic Framework ◽  
Superfluid Density ◽  
Quantum Spin ◽  
Spin Fluctuations ◽  
Strongly Correlated ◽  
Spin Liquids ◽  
Kagome Lattice ◽  
Unconventional Superconductor ◽  
Kagomé Lattice ◽  
Metal Organic

Metal-organic frameworks (MOFs), which are self-assemblies of metal ions and organic ligands, provide a tunable platform to search a new state of matter. A two-dimensional (2D) perfect kagome lattice, whose geometrical frustration is a key to realizing quantum spin liquids, has been formed in the π − d conjugated 2D MOF [Cu3(C6S6)]n (Cu-BHT). The recent discovery of its superconductivity with a critical temperature Tc of 0.25 kelvin raises fundamental questions about the nature of electron pairing. Here, we show that Cu-BHT is a strongly correlated unconventional superconductor with extremely low superfluid density. A nonexponential temperature dependence of superfluid density is observed, indicating the possible presence of superconducting gap nodes. The magnitude of superfluid density is much smaller than those in conventional superconductors and follows the Uemura’s relation of strongly correlated superconductors. These results imply that the unconventional superconductivity in Cu-BHT originates from electron correlations related to spin fluctuations of kagome lattice.

scholarly journals Doping Quantum Spin Liquids on the Kagome Lattice

2021 ◽  
pp. 2000126
Author(s):  
Cheng Peng ◽  
Yi‐Fan Jiang ◽  
Dong‐Ning Sheng ◽  
Hong‐Chen Jiang
Keyword(s):  
Quantum Spin ◽  
Spin Liquids ◽  
Kagome Lattice ◽  
Kagomé Lattice ◽  
Quantum Spin Liquids

scholarly journals Field-Induced Freezing of a Quantum Spin Liquid on the Kagome Lattice

2011 ◽  
Vol 107 (23) ◽  
Author(s):  
M. Jeong ◽  
F. Bert ◽  
P. Mendels ◽  
F. Duc ◽  
J. C. Trombe ◽  
...  
Keyword(s):  
Quantum Spin ◽  
Spin Liquid ◽  
Kagome Lattice ◽  
Kagomé Lattice ◽  
Quantum Spin Liquid

scholarly journals Synthesis of a d1 titanium fluoride kagome lattice antiferromagnet

2019 ◽  
Author(s):  
Ningxin Jiang ◽  
Arun Ramanathan ◽  
John Bacsa ◽  
Henry La Pierre
Keyword(s):  
Long Range ◽  
Structural Phase ◽  
Magnetic Ordering ◽  
Quantum Spin ◽  
Kagome Lattice ◽  
Weiss Temperature ◽  
Positional Disorder ◽  
Kagomé Lattice ◽  
Planar Array ◽  
Long Range Ordering

The kagome lattice, composed of a planar array of corner-sharing triangles, is one of the most geometrically frustrated lattices. The realization of an S = 1/2 kagome latttice antiferromagnet (KLAF) is of particular interest because it may host an intriguing form of matter, a quantum spin liquid state, which showa long-range entanglement and no magnetic ordering down to 0 K. A few S = 1/2 KLAFs exist, typically based on Cu<sup>2+</sup>, <i>d</i><sup>9</sup> compounds, though they feature structural imperfections. Herein, we present the synthesis of (CH<sub>3</sub>NH<sub>3</sub>)<sub>2</sub>NaTi<sub>3</sub>F<sub>12</sub>, which comprises an S = 1/2 kagome layer that exhibits only one crystallographically distinct Ti<sup>3+</sup>, <i>d</i><sup>1</sup> site, and one bridging fluoride. A static positional disorder is proposed for the intralayer CH<sub>3</sub>NH<sub>3</sub><sup>+</sup>. No structural phase transitions were observed from 1.8 K to 523 K. Despite its spin-freezing behavior, other features - including its negative Curie-Weiss temperature and a lack of long-range ordering - imply that this compound is a highly frustrated magnet with unusual magnetic phase behaviors.<br>

scholarly journals Gapless chiral spin liquid from coupled chains on the kagome lattice

2018 ◽  
Vol 4 (1) ◽  
Author(s):  
Rodrigo Pereira ◽  
Samuel Bieri
Keyword(s):  
Mean Field ◽  
Effective Field ◽  
Quantum Spin ◽  
Spin Liquid ◽  
Kagome Lattice ◽  
Fermi Surfaces ◽  
Spin Correlations ◽  
Kagomé Lattice ◽  
Renormalization Group Approach ◽  
Chiral Interaction

Using a perturbative renormalization group approach, we show that the extended (J_1-J_2-J_dJ1−J2−Jd) Heisenberg model on the kagome lattice with a staggered chiral interaction (J_\chiJχ) can exhibit a gapless chiral quantum spin liquid phase. Within a coupled-chain construction, this phase can be understood as a chiral sliding Luttinger liquid with algebraic decay of spin correlations along the chain directions. We calculate the low-energy properties of this gapless chiral spin liquid using the effective field theory and show that they are compatible with the predictions from parton mean-field theories with symmetry-protected line Fermi surfaces. These results may be relevant to the state observed in the kapellasite material.

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