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General conditions in which disordered, spin liquid, and valence-bond ordered phases occur in quantum Ising antiferromagnets are studied using the prototype Kagome lattice spin models. A range of quantum dynamical processes in the Ising…

Strongly Correlated Electrons · Physics 2010-07-16 Predrag Nikolic

The application of a magnetic field transverse to the easy axis, Ising direction in the quasi-two-dimensional Kagome staircase magnet, Co3V2O8, induces three quantum phase transitions at low temperatures, ultimately producing a novel high…

Strongly Correlated Electrons · Physics 2015-11-10 K. Fritsch , G. Ehlers , K. C. Rule , K. Habicht , M. Ramazanoglu , H. A. Dabkowska , B. D. Gaulin

We study the magnetization process in two-dimensional S=1/2 spin systems, to discuss the appearance of a plateau structure. The following three cases are considered: (1) the Heisenberg antiferromagnet and multiple-spin exchange model on the…

Strongly Correlated Electrons · Physics 2009-10-31 Tsutomu Momoi , Keisuke Totsuka

A spin-1/2 Heisenberg model on honeycomb lattice is investigated by doing triplon analysis and quantum Monte Carlo calculations. This model, inspired by Cu$_2$(pymca)$_3$(ClO$_4$), has three different antiferromagnetic exchange interactions…

Strongly Correlated Electrons · Physics 2021-09-15 Meghadeepa Adhikary , Arnaud Ralko , Brijesh Kumar

We discuss the ground-state degeneracy of spin-$1/2$ kagome-lattice quantum antiferromagnets on magnetization plateaus by employing two complementary methods: the adiabatic flux insertion in closed boundary conditions and a 't Hooft anomaly…

Strongly Correlated Electrons · Physics 2020-11-30 Shunsuke C. Furuya , Yusuke Horinouchi , Tsutomu Momoi

Plateaus can be observed in the zero-temperature magnetization curve of quantum spin systems at rational values of the magnetization. In one dimension, the appearance of a plateau is controlled by a quantization condition for the…

Strongly Correlated Electrons · Physics 2007-05-23 A. Honecker , J. Schulenburg , J. Richter

The exploration of topological electronic phases that result from strong electronic correlations is a frontier in condensed matter physics. One class of systems that is currently emerging as a platform for such studies are so-called kagome…

We study the zero-temperature phase diagram of the spin-$\frac{1}{2}$ Heisenberg model with breathing anisotropy (i.e., with different coupling strength on the upward and downward triangles) on the kagome lattice. Our study relies on large…

Strongly Correlated Electrons · Physics 2021-01-01 Saeed S. Jahromi , Roman Orus , Didier Poilblanc , Frédéric Mila

Recent experiments on the "hyper-kagome" lattice system Na$_4$Ir$_3$O$_8$ have demonstrated that it is a rare example of a three dimensional spin-1/2 frustrated antiferromagnet. We investigate the role of quantum fluctuations as the primary…

Strongly Correlated Electrons · Physics 2009-11-13 Michael J. Lawler , Hae-Young Kee , Yong Baek Kim , Ashvin Vishwanath

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

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

Besides the exactly solvable spin-1/2 Kitaev model, higher spin-$S$ ones, not exactly solvable, are promising playgrounds for researches on the quantum spin liquid as well. One of the main interests in higher spin-S cases is the interplay…

Statistical Mechanics · Physics 2024-07-30 Tohru Mashiko , Tsuyoshi Okubo

We study the quantum spin liquid phase in a variant of the Kitaev model where the bonds of the honeycomb lattice are distributed in a Kekul\'e pattern. The system supports gapped and gapless Z_2 quantum spin liquids with interesting…

Strongly Correlated Electrons · Physics 2015-04-22 Eoin Quinn , Subhro Bhattacharjee , Roderich Moessner

We study the phase diagram of the Bose-Hubbard model on the kagome lattice with a broken sublattice symmetry. Such a superlattice structure can naturally be created and tuned by changing the potential offset of one sublattice in the optical…

Quantum Gases · Physics 2015-07-29 Xue-Feng Zhang , Tao Wang , Sebastian Eggert , Axel Pelster

We study the quantum phase diagram of the spin-$1/2$ Heisenberg model on the kagom\'e lattice with first-, second-, and third-neighbor interactions $J_1$, $J_2$, and $J_3$ by means of density matrix renormalization group. For small $J_2$…

Strongly Correlated Electrons · Physics 2015-04-23 Shou-Shu Gong , Wei Zhu , Leon Balents , D. N. Sheng

We have formulated a twist operator argument for the geometrically frustrated quantum spin systems on the kagome and triangular lattices, thereby extending the application of the Lieb-Schultz-Mattis (LSM) and Oshikawa-Yamanaka-Affleck (OYA)…

Strongly Correlated Electrons · Physics 2020-01-28 Santanu Pal , Anirban Mukherjee , Siddhartha Lal

The emergent behavior of spin liquids that are born out of geometrical frustration makes them an intriguing state of matter. We show that in the quantum kagome antiferromagnet ZnCu$_3$(OH)$_6$SO$_4$ several different correlated, yet…

Strongly Correlated Electrons · Physics 2016-03-02 M. Gomilsek , M. Klanjsek , M. Pregelj , F. C. Coomer , H. Luetkens , O. Zaharko , T. Fennell , Y. Li , Q. M. Zhang , A. Zorko

We use the coupled cluster method to study the zero-temperature properties of an extended two-dimensional Heisenberg antiferromagnet formed from spin-1/2 moments on an infinite spatially anisotropic kagome lattice of corner-sharing…

Strongly Correlated Electrons · Physics 2012-12-05 P. H. Y. Li , R. F. Bishop , C. E. Campbell , D. J. J. Farnell , O. Götze , J. Richter

The search for exotic quantum spin liquid states in simple yet realistic spin models remains a central challenge in the field of frustrated quantum magnetism. Here we consider the canonical nearest-neighbor kagome Heisenberg antiferromagnet…

Strongly Correlated Electrons · Physics 2018-08-29 Amir M-Aghaei , Bela Bauer , Kirill Shtengel , Ryan V. Mishmash

The Heisenberg model on a face center cubic (fcc) lattice is a typical three-dimensional frustrated spin system expected to have magnetization plateaus and supersolid phases. There are model compounds $A_2$CoTeO$_6$ ($A$ = Ca, Sr, Pb) for…

Strongly Correlated Electrons · Physics 2019-04-24 Katsuhiro Morita , Takami Tohyama