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We investigate the energy landscape of the kagome Heisenberg antiferromagnet within its coplanar ground-state manifold. Although coplanar states are degenerate at harmonic order, transitions between them require collective weathervane-loop…

Statistical Mechanics · Physics 2026-04-22 Brandon B. Le , Seung-Hun Lee , Gia-Wei Chern

We explore the phase diagram and the low-energy physics of three Heisenberg antiferromagnets which, like the kagome lattice, are networks of corner-sharing triangles but contain two sets of inequivalent short-distance resonance loops. We…

Strongly Correlated Electrons · Physics 2013-11-07 I. Rousochatzakis , R. Moessner , J. van den Brink

It is shown that site disorder induces noncoplanar states, competing with the thermal selection of coplanar states, in the nearest neighbor, classical kagome Heisenberg antiferromagnet (AFM). For weak disorder, it is found that the ground…

Condensed Matter · Physics 2009-10-22 E. F. Shender , V. B. Cherepanov , P. C. W. Holdsworth , A. J. Berlinsky

Geometric frustration leads to complex phases of matter with exotic properties. Antiferromagnets on triangular lattices and square ice are two simple models of geometrical frustration. We map their highly degenerated ground-state phase…

Statistical Mechanics · Physics 2015-05-13 Yilong Han

We present the mean-field phase diagram of electrons in a kagome flat band with repulsive interactions. In addition to flat-band ferromagnetism, the Hartree-Fock analysis yields cascades of unconventional magnetic orders driven by onsite…

Strongly Correlated Electrons · Physics 2024-07-30 Yu-Ping Lin , Chunxiao Liu , Joel E. Moore

The weathervane modes of the classical Heisenberg antiferromagnet on the kagome lattice constitute possibly the earliest and certainly the most celebrated example of a flat band of zero-energy excitations. Such modes arise from the…

Statistical Mechanics · Physics 2017-10-18 Mykola Maksymenko , Roderich Moessner , Kirill Shtengel

We study the quantum phase diagram of the spin-$1/2$ nearest-neighbor Heisenberg model on the maple-leaf lattice using infinite projected entangled pair states (iPEPS) combined with a corner transfer matrix renormalization group scheme…

Strongly Correlated Electrons · Physics 2025-12-24 Samuel Nyckees , Pratyay Ghosh , Frédéric Mila

We consider a spin-$\frac{1}{2}$ kagome-like chain with competing ferro- and antiferromagnetic anisotropic exchange interactions. The ground state phase diagram of this model consists of the ferromagnetic and ferrimagnetic phases. We study…

Strongly Correlated Electrons · Physics 2018-12-31 D. V. Dmitriev , V. Ya. Krivnov

The antiferromagnetic Heisenberg model on an anisotropic kagome lattice may be a good minimal model for real magnetic systems as well as a limit from which the isotropic case can be better understood. We therefore study the nearest-neighbor…

Strongly Correlated Electrons · Physics 2009-08-05 E. M. Stoudenmire , Leon Balents

We study the ground-state phase diagram of the spin-$1/2$ antiferromagnetic Heisenberg model on the square-kagome lattice using infinite projected entangled-pair states (iPEPS). By systematically varying the ratio of exchange couplings on…

Strongly Correlated Electrons · Physics 2026-04-07 Saeed S. Jahromi , Yasir Iqbal

We perform an extensive density matrix renormalization group (DMRG) study of the ground-state phase diagram of the spin-1/2 J_1-J_2 Heisenberg model on the kagome lattice. We focus on the region of the phase diagram around the kagome…

Strongly Correlated Electrons · Physics 2015-03-26 Fabian Kolley , Stefan Depenbrock , Ian P. McCulloch , Ulrich Schollwöck , Vincenzo Alba

We investigate the magnetism of a previously unexplored distorted spin-1/2 kagome model consisting of three symmetry-inequivalent nearest-neighbor antiferromagnetic Heisenberg couplings Jhexagon, J and J', and uncover a rich ground state…

Strongly Correlated Electrons · Physics 2022-01-24 Max Hering , Francesco Ferrari , Aleksandar Razpopov , Igor I. Mazin , Roser Valenti , Harald O. Jeschke , Johannes Reuther

We consider 2D Heisenberg antiferromagnets on a triangular lattice with spatially anisotropic interactions in a high magnetic field close to the saturation. We show that this system possess rich phase diagram in field/anisotropy plane due…

Strongly Correlated Electrons · Physics 2014-08-25 Oleg A. Starykh , Wen Jin , Andrey V. Chubukov

Frustrated quantum magnets are a central theme in condensed matter physics due to the richness of their phase diagrams. They support a panoply of phases including various ordered states and topological phases. Yet, this problem has defied a…

Strongly Correlated Electrons · Physics 2018-03-16 Hitesh J. Changlani , Dmitrii Kochkov , Krishna Kumar , Bryan K. Clark , Eduardo Fradkin

We introduce a two dimensional network of corner-sharing triangles with square lattice symmetry. Properties of magnetic systems here should be similar to those on the kagome lattice. Focusing on the spin half Heisenberg quantum…

Statistical Mechanics · Physics 2009-11-07 Rahul Siddharthan , Antoine Georges

We study the ground state of a spin-half Heisenberg antiferromagnet on the stacked kagome lattice by using a spin-rotation-invariant Green's-function method. Since the pure two-dimensional kagome antiferromagnet is most likely a…

Strongly Correlated Electrons · Physics 2009-11-10 D. Schmalfuss , J. Richter , D. Ihle

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

Heterostructures of stacked two-dimensional lattices have shown great promise for engineering novel material properties. As an archetypal example of such a system, the hexagon-shared honeycomb-kagome lattice has been experimentally…

Materials Science · Physics 2025-02-21 Chan Bin Bark , Hanbyul Kim , Seik Pak , Hong-Guk Min , Sungkyun Ahn , Youngkuk Kim , Moon Jip Park

This paper is concerned with physics of the low energy singlet excitations found to exist below the spin gap in numerical studies of the Kagome lattice quantum Heisenberg antiferromagnet. Insight into the nature of these excitations is…

Strongly Correlated Electrons · Physics 2010-07-16 P. Nikolic , T. Senthil

We investigate low-energy properties of two-dimensional quantum spin systems with the ladder and plaquette structures, which are described by a generalized antiferromagnetic Heisenberg model with both of the bond and spin alternations. By…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koga , S. Kumada , N. Kawakami
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