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In the geometrically frustrated materials with the low-dimensional and small spin moment, the quantum fluctuation could interfere with the complicated interplay of the spin, electron, lattice and orbital interactions, and host exotic ground…

Strongly Correlated Electrons · Physics 2018-09-19 Z. Lu , L. Ge , G. Wang , M. Russina , G. Guenther , C. R. dela Cruz , R. Sinclair , H. D. Zhou , J. Ma

In this paper, we study the phases of the Heisenberg model on the \kagome lattice with antiferromagnetic nearest neighbour coupling $J_1$ and ferromagnetic next neighbour coupling $J_2$. Analysing the long wavelength, low energy effective…

Strongly Correlated Electrons · Physics 2009-10-31 R. Shankar , D. Shubashree

The kagome lattice is a paragon of geometrical frustration, long-studied for its association with novel ground-states including spin liquids (SLs). Many recently synthesized kagome materials feature rare-earth ions, which may be expected to…

Strongly Correlated Electrons · Physics 2017-11-22 Karim Essafi , Owen Benton , L. D. C. Jaubert

The metal-organic-framework (MOF) compound Cu$_3$(HOTP)$_2$, a.k.a. Cu$_3$(HHTP)$_2$, is a small-gap semiconductor containing a kagome lattice of antiferromagnetically coupled $S$=1/2 Cu$^\mathrm{II}$ spins with intra-layer nearest-neighbor…

Strongly Correlated Electrons · Physics 2024-11-28 F. L. Pratt , D. Lopez-Alcala , V. Garcia-Lopez , M. Clemente-Leon , J. J. Baldovi , E. Coronado

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…

We study the thermodynamics of Ising spins on the triangular kagome lattice (TKL) using exact analytic methods as well as Monte Carlo simulations. We present the free energy, internal energy, specific heat, entropy, sublattice…

Statistical Mechanics · Physics 2008-04-28 Yen Lee Loh , Dao-Xin Yao , Erica W. Carlson

Despite their simple formulation, short range classical antiferromagnetic Ising models on frustrated lattices give rise to exotic phases of matter, in particular due to their macroscopic ground state degeneracy. Recent experiments on…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Jeanne Colbois , Kevin Hofhuis , Zhaochu Luo , Xueqiao Wang , Aleš Hrabec , Laura J. Heyderman , Frédéric Mila

We present thermodynamic studies of a new spin-1/2 antiferromagnet containing undistorted kagome lattices---barlowite Cu$_{4}$(OH)$_{6}$FBr. Magnetic susceptibility gives $\theta_{CW}$ = $-$136 K, while long-range order does not happen…

Strongly Correlated Electrons · Physics 2014-12-05 Tian-Heng Han , John Singleton , John A. Schlueter

The manganese tellurate Li2MnTeO6 consists of trigonal spin lattices made up of Mn4+ (d3, S = 3/2) ions. The magnetic properties of this compound were characterized by several experimental techniques, which include magnetic susceptibility,…

Currently under active study in condensed matter physics, both theoretically and experimentally, are quantum spin liquid (QSL) states, in which no long-range magnetic ordering appears at low temperatures due to strong quantum fluctuations…

Strongly Correlated Electrons · Physics 2019-07-04 Ruidan Zhong , Shu Guo , Guangyong Xu , Zhijun Xu , Robert J. Cava

We investigated the rare-earth triangular-lattice antiferromagnet NdMgAl$_{11}$O$_{19}$ using single-crystal magnetization (1.8~K $\leq T \leq$ 300~K, $\mu_0 H \leq 7$~T) and specific-heat measurements down to 45~mK. The dc susceptibility…

We report magnetization, heat capacity and electrical resistivity for a newly discovered heavy fermion (HF) compound $\mathrm{YbV_6Sn_6}$ which is crystallized in a hexagonal $\mathrm{HfFe_6Ge_6}$-type structure, highlighted by the stacking…

Strongly Correlated Electrons · Physics 2023-06-07 Kaizhen Guo , Junyao Ye , Shuyue Guan , Shuang Jia

A three-dimensional elemental carbon Kagome lattice (CKL), made of only fourfold coordinated carbon atoms, is proposed based on first-principles calculations. Despite the existence of 60{\deg} bond angles in the triangle rings, widely…

Materials Science · Physics 2015-10-20 Yuanping Chen , Y. Y. Sun , H. Wang , D. West , Yuee Xie , J. Zhong , V. Meunier , Marvin L. Cohen , S. B. Zhang

Over the past decades, magnetic frustration has been under intense debate due to its unusual properties. For instance, frustration in the kagome lattice suppresses long range spin correlations and it is expected to be a candidate for a spin…

Strongly Correlated Electrons · Physics 2025-09-29 Andressa R. Medeiros-Silva , Natanael C. Costa , Thereza Paiva

A spin-1/2 triangular-lattice antiferromagnet is a prototypical frustrated quantum magnet, which exhibits remarkable quantum many-body effects that arise from the synergy between geometric spin frustration and quantum fluctuations. It can…

Geometric frustration of magnetic ions can lead to a quantum spin liquid ground state where long range magnetic order is avoided despite strong exchange interactions. The physical realization of quantum spin liquids comprises a major…

Strongly Correlated Electrons · Physics 2023-06-07 Alex Hallett , Catalina Avarvarei , John W. Harter

We give a physical picture of the low-energy sector of the spin-$\frac12$ kagome Heisenberg antiferromagnets (KAFs). It is shown that kagome lattice can be represented as a set of blocks containing 12 spins, having form of stars and…

Strongly Correlated Electrons · Physics 2007-05-23 A. V. Syromyatnikov , S. V. Maleyev

In the triangular layered magnet PdCrO2 the intralayer magnetic interactions are strong, however the lattice structure frustrates interlayer interactions. In spite of this, long-range, 120$^\circ$ antiferromagnetic order condenses at $T_N =…

Neutron diffraction studies have been carried out in the temperature(T) range between 10 K and 130 K on a single crystal of YBaCo4O7, which has the stacking of kagome and triangular lattices of CoO4 tetrahedra along the c-axis. Structural…

Strongly Correlated Electrons · Physics 2009-11-11 Minoru Soda , Yukio Yasui , Taketo Moyoshi , Masatoshi Sato , Naoki Igawa , Kazuhisa Kakurai

Motivated by earlier simulated annealing studies and materials with large spin on the Kagome lattice, we performed large scale parallel tempering simulations on the Kagome lattice for the extended classical Heisenberg model including next…

Statistical Mechanics · Physics 2013-05-30 Martin Spenke , Siegfried Guertler