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We investigate theoretically the phase diagram of a classical Heisenberg antiferromagnet on the pyrochlore lattice perturbed by a weak second-neighbor interaction J_2. The huge ground state degeneracy of the nearest-neighbor Heisenberg…

Strongly Correlated Electrons · Physics 2009-07-17 Gia-Wei Chern , R. Moessner , O. Tchernyshyov

We investigate the ground-state phase diagram of a spin-1/2 honeycomb-lattice antiferromagnetic (AF) Heisenberg model with three exchange interactions, $J_{\rm A}$, $J_{\rm B}$, and $J_{\rm C}$ that is realized in a distorted…

Strongly Correlated Electrons · Physics 2022-06-29 Tokuro Shimokawa , Ken'ichi Takano , Zentaro Honda , Akira Okutani , Masayuki Hagiwara

We investigate quantum order by disorder in a frustrated spin nanotube formed by wrapping a $J_1$-$J_2$ Heisenberg model at 45$^\circ$ around a cylinder. Using Schwinger boson theory and Density Matrix Renormalization Group (DMRG), we have…

Strongly Correlated Electrons · Physics 2024-09-02 João C. Getelina , Zekun Zhuang , Premala Chandra , Piers Coleman , Peter P. Orth , S. L. Sondhi

The Kitaev model, which hosts a quantum spin liquid (QSL) in the ground state, was originally defined on a two-dimensional honeycomb lattice, but can be straightforwardly extended to any tricoordinate lattices in any spatial dimensions. In…

Strongly Correlated Electrons · Physics 2023-05-29 Kiyu Fukui , Yasuyuki Kato , Yukitoshi Motome

We study possible quantum ground states of the Heisenberg antiferromagnet on the star lattice, which may be realized in the recently discovered polymeric Iron Acetate,…

Strongly Correlated Electrons · Physics 2013-05-29 Ting-Pong Choy , Yong Baek Kim

Pursuing the exotic quantum spin liquid (QSL) state in the Kitaev material $\alpha$-RuCl$_3$ has intrigued great research interest recently. A fascinating question is on the possible existence of field-induced QSL phase in this compound.…

Strongly Correlated Electrons · Physics 2023-09-14 Xu-Guang Zhou , Han Li , Yasuhiro H. Matsuda , Akira Matsuo , Wei Li , Nobuyuki Kurita , Gang Su , Koichi Kindo , Hidekazu Tanaka

Quantum spin liquids (QSLs) are exotic phases of matter characterized by long-range entanglement and the absence of magnetic order even at zero temperature. Here, we present a comprehensive theoretical study of the frustrated magnet…

Strongly Correlated Electrons · Physics 2026-03-20 Yanpeng Zhou , Gang Li

We study the ground-state phase diagram of the spin-$1/2$ Kitaev-Heisenberg model on the bilayer honeycomb lattice with large-scale tensor network calculations based on the infinite projected entangled pair state technique as well as…

Strongly Correlated Electrons · Physics 2024-12-24 Elahe Samimi , Antonia Duft , Patrick Adelhardt , Kai Phillip Schmidt , Saeed S. Jahromi

We present an antiferromagnetic quantum spin-1/2 model on honeycomb lattice. It has two parts, one of which is the usual nearest-neighbor Heisenberg model. The other part is a certain multiple spin interaction term, introduced by us, which…

Strongly Correlated Electrons · Physics 2015-05-13 Rakesh Kumar , Dushyant Kumar , Brijesh Kumar

Using both exact diagonalizations and diagonalizations in a subset of short-range valence bond singlets, we address the nature of the groundstate of the Heisenberg spin-1/2 antiferromagnet on the square lattice with competing next-nearest…

Strongly Correlated Electrons · Physics 2007-05-23 M. Mambrini , A. Laeuchli , D. Poilblanc , F. Mila

We study the zero-temperature quantum phase diagram of a spin-1 Heisenberg antiferromagnet on the honeycomb lattice with both nearest-neighbor exchange coupling $J_{1}>0$ and frustrating next-nearest-neighbor coupling $J_{2} \equiv \kappa…

Strongly Correlated Electrons · Physics 2016-06-30 P. H. Y. Li , R. F. Bishop

We investigate the ground state properties of the spin-$1/2$ pyrochlore Heisenberg antiferromagnet using pseudofermion functional renormalization group techniques. The first part of our analysis is based on an enhanced parton mean-field…

Strongly Correlated Electrons · Physics 2022-03-15 Max Hering , Vincent Noculak , Francesco Ferrari , Yasir Iqbal , Johannes Reuther

The interplay among anisotropic magnetic terms, such as the bond-dependent Kitaev interactions and single-ion anisotropy, plays a key role in stabilizing the finite-temperature ferromagnetism in the two-dimensional compound $\rm{CrSiTe_3}$.…

Strongly Correlated Electrons · Physics 2022-01-05 Zongsheng Zhou , Ken Chen , Qiang Luo , Hong-Gang Luo , Jize Zhao

We study the S=1/2 Heisenberg antiferromagnet on a square lattice with nearest-neighbor and plaquette four-spin exchanges (introduced by A.W. Sandvik, Phys. Rev. Lett. {\bf 98}, 227202 (2007).) This model undergoes a quantum phase…

Strongly Correlated Electrons · Physics 2009-11-14 Valeri N. Kotov , Dao-Xin Yao , A. H. Castro Neto , D. K. Campbell

Quantum phase transitions between the magnetically ordered and disordered states are studied for the two-dimensional antiferromagnetic quantum spin systems with ladder, plaquette, and mixed-spin structures. Starting with properly chosen…

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

Using the density-matrix renormalization group, we determine the phase diagram of the spin 1/2 Heisenberg antiferromagnet on a honeycomb lattice with a nearest neighbor interaction J1 and a frustrating, next-neighbor exchange J2. As…

Strongly Correlated Electrons · Physics 2013-05-14 R. Ganesh , Jeroen van den Brink , Satoshi Nishimoto

We use the coupled cluster method in high orders of approximation to make a comprehensive study of the ground-state (GS) phase diagram of the spin-1/2 $J_{1}$--$J_{2}$--$J_{3}$ model on a two-dimensional honeycomb lattice with…

Strongly Correlated Electrons · Physics 2015-06-04 P. H. Y. Li , R. F. Bishop , D. J. J. Farnell , C. E. Campbell

The nature of the intermediate ground-state phase in the spin-1/2 frustrated square lattice model has long been debated. Using cluster density matrix embedding theory, we investigate the phase diagram of this model. The Neel phase is…

Strongly Correlated Electrons · Physics 2025-12-10 Jie Qiao , Shu-Hao Zhang , Jing-Bo Qin , Xiao-Long Zhao , Qiang Cheng

Quantum Monte Carlo simulations are used to study the magnetic and transport properties of the Hubbard Model, and its strong coupling Heisenberg limit, on a one-third depleted square lattice. This is the geometry occupied, after charge…

Strongly Correlated Electrons · Physics 2017-01-25 H. -M. Guo , T. Mendes-Santos , W. E. Pickett , R. T. Scalettar

Motivated by experimental observation of the non-magnetic phase in the compounds with frustration and disorder, we study the ground state of the spin-$1/2$ square-lattice Heisenberg model with randomly distributed nearest-neighbor $J_1$ and…

Strongly Correlated Electrons · Physics 2023-01-23 Huan-Da Ren , Tian-Yu Xiong , Han-Qing Wu , D. N. Sheng , Shou-Shu Gong
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