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A kagome lattice is composed of corner-sharing triangles arranged on a honeycomb lattice such that each honeycomb bond hosts a kagome site while each kagome triangle encloses a honeycomb site. Such close relation implies that the two…

Mesoscale and Nanoscale Physics · Physics 2020-08-05 Tianyu Liu

We study the phase diagram of the spin-1 quantum bilinear-biquadratic antiferromagnet on the kagome lattice using exact diagonalization and the density matrix renormalization group algorithm. The SU(3)-symmetric point of this model…

Strongly Correlated Electrons · Physics 2016-01-29 Hitesh J. Changlani , Andreas M. Läuchli

We show the structures of magnetic excitations in spin-1/2 kagome-lattice antiferromagnets Cs$_2$Cu$_3$SnF$_{12}$ and Rb$_2$Cu$_3$SnF$_{12}$ investigated by inelastic neutron scattering in wide energy and momentum ranges. For…

The mixed spin-1 and spin-1/2 Heisenberg octahedral chain with regularly alternating monomeric spin-1 sites and square-plaquette spin-1/2 sites is investigated using variational technique, localized-magnon approach, exact diagonalization…

Statistical Mechanics · Physics 2020-07-06 Katarina Karlova , Jozef Strecka , Taras Verkholyak

Inelastic neutron scattering (INS) experiments under applied magnetic field at low temperatures show detailed low lying magnetic excitations in the so called tridiminshed iron icosahedron magnetic molecule. The magnetic molecule consists of…

Strongly Correlated Electrons · Physics 2014-06-05 David Vaknin , Franz Demmel

We investigate the connection between highly frustrated kagome based Hamiltonians and a recently synthesized family of materials containing Ti3+ S=1/2 ions. Employing a combination of all electron density functional theory and numerical…

Strongly Correlated Electrons · Physics 2019-05-01 H. O. Jeschke , H. Nakano , T. Sakai

We propose a method to study the magnetic properties of a disordered Ising kagome lattice. The model considers small spin clusters with infinite-range disordered couplings and short-range ferromagnetic (FE) or antiferromagnetic…

Disordered Systems and Neural Networks · Physics 2015-07-10 M. Schmidt , F. M. Zimmer , S. G. Magalhaes

The spin-3/2 Heisenberg antiferromagnet on the bilayer honeycomb lattice is a minimal model to describe the magnetic behavior of Bi$_3$Mn$_4$O$_{12}$(NO$_3$). We study this model with frustrating inter-layer second-neighbor couplings,…

Strongly Correlated Electrons · Physics 2021-12-15 S. Acevedo , C. A. Lamas , P. Pujol

The coupled cluster method is implemented at high orders of approximation to investigate the zero-temperature $(T=0)$ phase diagram of the frustrated spin-$s$ $J_{1}$--$J_{2}$--$J_{3}$ antiferromagnet on the honeycomb lattice. The system…

Strongly Correlated Electrons · Physics 2018-06-19 R F Bishop , P H Y Li

The Heisenberg antiferromagnet on the Kagom\'{e} lattice is studied in the framework of Schwinger-boson mean-field theory. Two solutions with different symmetries are presented. One solution gives a conventional quantum state with…

Strongly Correlated Electrons · Physics 2007-11-06 Peng Li , Haibin Su , Shun-Qing Shen

Ever since the experiments which founded the field of highly frustrated magnetism, the kagome Heisenberg antiferromagnet has been the archetypical setting for the study of fluctuation induced exotic ordering. To this day the nature of its…

Strongly Correlated Electrons · Physics 2013-02-19 Gia-Wei Chern , R. Moessner

Ground-state and finite-temperature properties of the exactly solvable mixed spin-1/2 Ising-Heisenberg planar model composed of identical trigonal bipyramids that are arranged into a regular archimedean lattice are examined with the aim to…

Statistical Mechanics · Physics 2019-08-27 Lucia Galisova

The low-energy properties of the two-dimensional Heisenberg model with spin-$\frac{1}{2}$ on a square lattice are investigated on the basis of the local dimer order. The lattice is divided into square blocks consisting of the quartet of…

Condensed Matter · Physics 2015-06-25 V. I. Belinicher , L. V. Popovich

It is evidenced that effective lattice-gas models of hard-core monomers and dimers afford a proper description of low-temperature features of spin-1/2 Heisenberg diamond and octahedral chains. Besides monomeric particles assigned within the…

Statistical Mechanics · Physics 2022-03-23 J. Strecka , T. Verkholyak , J. Richter , K. Karlova , O. Derzhko , J. Schnack

Density matrix renormalization group (DMRG) calculations on large systems (up to 3096 spins) indicate that the ground state of the Heisenberg model on a 3-chain Kagome strip is spontaneously dimerized. This system has degenerate ground…

Strongly Correlated Electrons · Physics 2009-10-31 Steven R. White , Rajiv R. P. Singh

We study the ground state properties of a quantum antiferromagnet in the kagome lattice in the presence of a magnetic field, paying particular attention to the stability of the plateau at magnetization 1/3 of saturation. While the plateau…

Strongly Correlated Electrons · Physics 2007-05-23 D. C. Cabra , M. D. Grynberg , P. Pujol

The spectrum of charged particles hopping on a kagome lattice in a uniform transverse magnetic field shows an unusual set of Landau levels at low field. They are unusual in two respects: the lowest Landau levels are paramagnetic so their…

Superconductivity · Physics 2009-11-07 Yi Xiao , Vincent Pelletier , Paul M. Chaikin , David A. Huse

Although most quantum systems thermalize locally on short time scales independent of initial conditions, recent developments have shown this is not always the case. Lattice geometry and quantum mechanics can conspire to produce constrained…

Strongly Correlated Electrons · Physics 2021-06-23 Kyungmin Lee , Arijeet Pal , Hitesh J. Changlani

The thermal order by disorder effect in magnetic field is studied for a classical Heisenberg antiferromagnet on the kagome lattice. Using analytical arguments we predict a unique H-T phase diagram for this strongly frustrated magnet: states…

Strongly Correlated Electrons · Physics 2007-05-23 M. E. Zhitomirsky

We study the low-lying energy clustering patterns of quantum antiferromagnets with p sublattices (in particular p=4). We treat each sublattice as a large spin, and using second-order degenerate perturbation theory, we derive the effective…

Strongly Correlated Electrons · Physics 2009-11-07 N. G. Zhang , C. L. Henley , C. Rischel , K. Lefmann