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We perform an exact diagonalization study of the spin-$1/2$ XXZ Heisenberg antiferromagnet on the kagome lattice at finite magnetization $m = \frac{2}{3}$ with an emphasis on the XY point ($J_z = 0$), and in the presence of a small chiral…

Strongly Correlated Electrons · Physics 2016-10-18 Krishna Kumar , Hitesh J. Changlani , Bryan K. Clark , Eduardo Fradkin

We study a problem of interacting fractional charges with $J_1$-$J_2$-$J_3$ Ising model on a checkerboard lattice under magnetic field. As a result of the interplay between repulsive interactions and particle density tuning by magnetic…

Strongly Correlated Electrons · Physics 2019-10-18 Kunio Tokushuku , Tomonari Mizoguchi , Masafumi Udagawa

In frustrated Ising magnets, classical spin liquids (CSLs) with macroscopic ground-state degeneracy can survive against conventional magnetic order, as exemplified by systems on triangular, kagome and pyrochlore lattices at zero field. Here…

Inspired by recent observations of the $1/3$ magnetization plateau in kagome-based magnets, we investigate the $J_1-J_2$ Heisenberg model on the kagome lattice under the influence of an external magnetic field. Although the classical ground…

Strongly Correlated Electrons · Physics 2026-03-20 Gabriel Capelo , Eric C. Andrade

Chiral spin liquids, which break time-reversal symmetry, are of great interest due to their topological properties and fractionalized excitations (anyons). In this work, we investigate chiral spin liquids (CSL) on the kagome lattice arising…

Strongly Correlated Electrons · Physics 2026-01-19 Hee Seung Kim , Hyeok-Jun Yang , Karlo Penc , SungBin Lee

The two-dimensional (2D) spin-1/2 kagome Heisenberg antiferromagnet is believed to host quantum spin liquid (QSL) states with no magnetic order, but its ground state remains largely elusive. An important outstanding question concerns the…

Strongly Correlated Electrons · Physics 2024-05-30 S. Suetsugu , T. Asaba , Y. Kasahara , Y. Kohsaka , K. Totsuka , B. Li , Y. Zhao , Y. Li , M. Tokunaga , Y. Matsuda

While the existence of a chiral spin liquid (CSL) on a class of spin-1/2 kagome antiferromagnets is by now well-established numerically, a controlled theoretical path from the lattice model leading to a low energy topological field theory…

Strongly Correlated Electrons · Physics 2016-01-06 Yin-Chen He , Subhro Bhattacharjee , Frank Pollmann , R. Moessner

Highly frustrated spin systems such as the kagome lattice (KL) are a treasure trove of new quantum states with large entanglements. We thus study the spin-$\frac{1}{2}$ Heisenberg model on a kagome-strip chain (KSC), which is…

Strongly Correlated Electrons · Physics 2021-07-16 Katsuhiro Morita , Shigetoshi Sota , Takami Tohyama

Employing large-scale quantum Monte Carlo simulations, we study the extended $XXZ$ model on the kagome lattice. A $\mathbb Z_2$ quantum spin liquid phase with effective even Ising gauge field structure emerges from the delicate balance…

Strongly Correlated Electrons · Physics 2018-08-06 Yan-Cheng Wang , Xue-Feng Zhang , Frank Pollmann , Meng Cheng , Zi Yang Meng

The kagome lattice, with its unique geometric structure, has emerged as a leading platform for exploring quantum many-body physics, particularly in the study of quantum spin liquids (QSLs) and unconventional superconductivity. This review…

Strongly Correlated Electrons · Physics 2025-12-19 Li-Wei He , Shun-Li Yu , Jian-Xin Li

We use a semiclassical large-$S$ expansion to study a plateau at $1/3$ saturation in the magnetization curve of a frustrated ferrimagnet on a spatially anisotropic kagom\'{e} lattice. The spins have both ferromagnetic and antiferromagnetic…

Strongly Correlated Electrons · Physics 2017-03-17 Edward Parker , Leon Balents

We investigate the low temperature magnetic properties of a $S=\frac{5}{2}$ Heisenberg kagom\'e antiferromagnet, the layered monodiphosphate Li$_9$Fe$_3$(P$_2$O$_7$)$_3$(PO$_4$)$_2$, using magnetization measurements and $^{31}$P nuclear…

Strongly Correlated Electrons · Physics 2021-10-08 E. Kermarrec , R. Kumar , G. Bernard , R. Hénaff , P. Mendels , F. Bert , P. L. Paulose , B. K. Hazra , B. Koteswararao

The spin-1/2 antiferromagnetic Heisenberg model on a Kagome lattice is geometrically frustrated, which is expected to promote the formation of many-body quantum entangled states. The most sought-after among these is the quantum spin liquid…

An effective-field theory based on the single-spin cluster has been used to study of a diluted spin-$1/2$ Ising antiferromagnet on the Kagome lattice with nearest-neighbor interactions. We observe five plateaus in the magnetization curve of…

Statistical Mechanics · Physics 2020-07-08 A. Bobák , T. Lučivjanský , M. Žukovič

We investigate the effect of spin-lattice coupling (SLC) on the magnetic properties of the classical kagome-lattice Heisenberg antiferromagnet (KHAF) using improved Monte Carlo updates. The lattice modes are represented by Einstein site…

Strongly Correlated Electrons · Physics 2022-05-24 Masaki Gen , Hidemaro Suwa

We show that a classical spin liquid phase can emerge from an ordered magnetic state in the two-dimensional frustrated Shastry-Sutherland Ising lattice due to lateral confinement. Two distinct classical spin liquid states are stabilized (i)…

Statistical Mechanics · Physics 2023-10-11 Pratik Brahma , Sayeef Salahuddin

Quantum spin-1/2 kagome Heisenberg antiferromagnet is the representative frustrated system possibly hosting a spin liquid. Clarifying the nature of this elusive topological phase is a key challenge in condensed matter, however, even…

Strongly Correlated Electrons · Physics 2015-06-16 Satoshi Nishimoto , Naokazu Shibata , Chisa Hotta

Spin-1/2 Heisenberg model on kagome lattice is a typical frustrated quantum spin system. A basic structure of kagome lattice is also present in kagome-strip lattice in one dimension, where a similar type of frustration is expected. We thus…

Strongly Correlated Electrons · Physics 2018-01-19 K. Morita , T. Sugimoto , S. Sota , T. Tohyama

We study the ground state of $S = 1/2$ Heisenberg model on the checkerboard lattice in a magnetic field by the density matrix renormalization group (DMRG) method with the sine-square deformation. We obtain magnetization plateaus at…

Strongly Correlated Electrons · Physics 2016-10-19 Katsuhiro Morita , Naokazu Shibata

Spin-$S$ Heisenberg quantum antiferromagnets on the Kagome lattice offer, when placed in a magnetic field, a fantastic playground to observe exotic phases of matter with (magnetic analogs of) superfluid, charge, bond or nematic orders, or a…

Strongly Correlated Electrons · Physics 2016-02-24 Thibaut Picot , Marc Ziegler , Roman Orus , Didier Poilblanc
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