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The $S=1$ antiferromagnetic Heisenberg model on a Kagome lattice is studied using the density-matrix renormalization group method. To identify the ground state, we take four kinds of clusters into account; periodic, cylindrical, and two…

Strongly Correlated Electrons · Physics 2015-11-06 Satoshi Nishimoto , Masaaki Nakamura

We present a $^{35}$Cl NMR study for spin $S=1/2$ perfect kagome antiferromagnet Ca-kapellasite (CaCu$_{3}$(OH)$_{6}$Cl$_{2}\cdot$0.6H$_{2}$O) with a magnetic transition at $T^{\ast}=7.2$ K. The static magnetic structure in the ground state…

Strongly Correlated Electrons · Physics 2020-07-01 Y. Ihara , K. Arashima , H. Yoshida , M. Hirata , T. Sasaki

Frustrated one-dimensional quantum spin systems are known to exhibit a variety of quantum ground states due to the effects of quantum fluctuations and frustrations. In a spin-1/2 kagome-strip chain, which is one of the frustrated…

Strongly Correlated Electrons · Physics 2021-12-15 Katsuhiro Morita , Shigetoshi Sota , Takami Tohyama

Ground state and low-energy excitations of the quasi-one-dimensional antiferromagnet CuSe$_2$O$_5$ were experimentally studied using bulk magnetization, neutron diffraction, muon spin relaxation and antiferromagnetic resonance measurements.…

Strongly Correlated Electrons · Physics 2015-06-12 M. Herak , A. Zorko , M. Pregelj , O. Zaharko , G. Posnjak , Z. Jagličić , A. Potočnik , H. Luetkens , J. van Tol , A. Ozarowski , H. Berger , D. Arčon

The structural and magnetic properties of the two-dimensional spin-$1/2$ depleted-kagome compound Cu$_7$(TeO$_3$)$_2$(SO$_4$)$_2$(OH)$_6$ are investigated using x-ray diffraction, magnetization, heat capacity, and $^1$H Nuclear Magnetic…

Materials Science · Physics 2025-12-04 K. U. Akshay , Sebin J. Sebastian , Q. -P. Ding , Y. Furukawa , R. Nath

We report on recent results for strongly frustrated quantum $J_1$-$J_2$ antiferromagnets in dimensionality d=1,2,3 obtained by the coupled cluster method (CCM). We demonstrate that the CCM in high orders of approximation allows us to…

Strongly Correlated Electrons · Physics 2009-11-11 J. Richter , R. Darradi , R. Zinke , R. F. Bishop

We present a detailed study of the ground state phase diagram of the classical frustrated Heisenberg model on the face-centered-cubic lattice. By considering exchange interactions up till third nearest neighbors, we find commensurate,…

Strongly Correlated Electrons · Physics 2020-11-26 Péter Balla , Yasir Iqbal , Karlo Penc

In this paper we report the latest results of exact diagonalizations of SU(2) invariant models on various lattices (square, triangular, hexagonal, checkerboard and kagome lattices). We focus on the low lying levels in each S sector. The…

Strongly Correlated Electrons · Physics 2015-05-13 Philippe Sindzingre , Claire Lhuillier

Magnetic frustration in two-dimensional spin lattices with triangular motifs underpins a series of exotic states, ranging from multi-Q configurations to disordered spin-glasses. The antiferromagnetic kagome lattice, characterized by its…

We investigate the dynamical properties of the classical antiferromagnetic Heisenberg model on the kagome lattice using a combination of Monte Carlo and molecular dynamics simulations. We find that frustration induces a distribution of…

Strongly Correlated Electrons · Physics 2015-06-19 Mathieu Taillefumier , Julien Robert , Christopher L. Henley , Roderich Moessner , Benjamin Canals

We report on a systematic study of two dimensional, periodic, frustrated Ising models with a quantum dynamics introduced via a transverse magnetic field. The systems studied are the triangular and kagome lattice antiferromagnets, fully…

Statistical Mechanics · Physics 2009-10-31 R. Moessner , S. L. Sondhi

Using a combination of quantum Monte Carlo simulations in adapted cluster bases, the finite temperature Lanczos method, and an effective Hamiltonian approach, we explore the thermodynamic properties of the spin-1/2 Heisenberg…

Strongly Correlated Electrons · Physics 2023-11-23 Adrien Reingruber , Nils Caci , Stefan Wessel , Johannes Richter

We study the formation of magnetic clusters in frustrated magnets in their cooperative paramagnetic regime. For this purpose, we consider the $J_1$-$J_2$-$J_3$ classical Heisenberg model on kagome and pyrochlore lattices with $J_2 = J_3=J$.…

Strongly Correlated Electrons · Physics 2018-11-07 Tomonari Mizoguchi , Ludovic D. C. Jaubert , Roderich Moessner , Masafumi Udagawa

We investigate analytically and numerically the classical ground states of frustrated Heisenberg models on pyrochlore and kagome lattices in zero and finite magnetic fields. Each model has a wide region in the microscopic parameter space,…

Strongly Correlated Electrons · Physics 2022-12-05 M. E. Zhitomirsky , M. V. Gvozdikova , T. Ziman

We present a comprehensive list of ground state energies and spin gaps of finite kagome clusters with up to 42 spins obtained using large-scale exact diagonalization techniques. This represents the current limit of this exact approach. For…

Strongly Correlated Electrons · Physics 2011-10-11 A. M. Läuchli , J. Sudan , E. S. Sørensen

A recently discovered kagome antiferromagnet $\rm{Y}_3\rm{Cu}_9(\rm{OH})_{19}\rm{Cl}_8$ has attracted significant interest due to its unique kagome lattice structure and magnetic properties. The kagome lattice has three types of exchange…

Strongly Correlated Electrons · Physics 2024-09-27 Kazu Bodaiji , Katsuhiro Morita , Yoshiyuki Fukumoto

We study a model of a spin S = 1/2 Heisenberg antiferromagnet on a one dimensional lattice with the local symmetry of the two dimensional kagom{\'e} lattice. Using three complementary approaches, it is shown that the low energy spectrum can…

Strongly Correlated Electrons · Physics 2009-10-31 P. Azaria , C. Hooley , P. Lecheminant , C. Lhuillier , A. M. Tsvelik

The frustrated ferromagnetic spin-1/2 Heisenberg chain is studied by means of a low-energy field theory as well as the density-matrix renormalization group and exact diagonalization methods. Firstly, we study the ground-state phase diagram…

Strongly Correlated Electrons · Physics 2007-05-23 F. Heidrich-Meisner , A. Honecker , T. Vekua

The spin wave excitations of the ideal S=5/2 Kagome lattice antiferromagnet KFe3(OH)6(SO4)2 have been measured using high-resolution inelastic neutron scattering. We directly observe a flat mode which corresponds to a lifted "zero energy…

Strongly Correlated Electrons · Physics 2008-10-31 K. Matan , D. Grohol , D. G. Nocera , T. Yildirim , A. B. Harris , S. H. Lee , S. E. Nagler , Y. S. Lee

Above the saturation field, geometrically frustrated quantum antiferromagnets have dispersionless low-energy branches of excitations corresponding to localized spin-flip modes. Transition into a partially magnetized state occurs via…

Strongly Correlated Electrons · Physics 2009-11-11 M. E. Zhitomirsky , H. Tsunetsugu