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$\gamma$-${\rm Ba}_{3}{\rm CoNb}_{2}{\rm O}_{9}$ realizes a disordered simple-cubic spin-$1/2$ lattice in which Co$^{2+}$ ions randomly occupy one third of the sites, placing the system close to the site-percolation threshold for magnetic…

Motivated by recent numerical work, we use the boson-vortex duality to study the possible phases of the frustrated spin-$\frac{1}{2}$ $J_1-J_2$ XXZ models on the honeycomb lattice. By condensing the vortices, we obtain various gapped phases…

强关联电子 · 物理学 2018-01-17 Han Ma

In the quest for materials hosting Kitaev spin liquids, much of the efforts have been focused on the fourth- and fifth-row transition metal compounds, which are spin-orbit coupling assisted Mott insulators. Here, we study the structural and…

强关联电子 · 物理学 2022-12-20 Shishir Kumar Pandey , Ji Feng

We use the coupled cluster method to investigate the ground-state (GS) properties of the frustrated spin-1/2 $J_{1}$-$J_{2}$-$J_{3}$ model on the honeycomb lattice, with nearest-neighbor exchange coupling $J_1$ plus next-nearest-neighbor…

强关联电子 · 物理学 2012-04-24 P. H. Y. Li , R. F. Bishop

Kitaev's honeycomb lattice spin model is a remarkable exactly solvable model, which has a particular type of spin liquid (Kitaev spin liquid) as the ground state. Although its possible realization in iridates and $\alpha$-RuCl$_3$ has been…

强关联电子 · 物理学 2017-08-07 Masahiko G. Yamada , Hiroyuki Fujita , Masaki Oshikawa

The metal-organic-framework (MOF) compound Cu$_3$(HOTP)$_2$, a.k.a. Cu$_3$(HHTP)$_2$, is a small-gap semiconductor containing a kagome lattice of antiferromagnetically coupled $S$=1/2 Cu$^\mathrm{II}$ spins with intra-layer nearest-neighbor…

强关联电子 · 物理学 2024-11-28 F. L. Pratt , D. Lopez-Alcala , V. Garcia-Lopez , M. Clemente-Leon , J. J. Baldovi , E. Coronado

We present a theoretical study of the magnetic phase diagram of the frustrated coupled ladder structure realized recently in several materials. This system displays a nondegenerate spin-gap state in the dimer limit and an infinitely…

强关联电子 · 物理学 2009-10-30 B. Normand , K. Penc , M. Albrecht , F. Mila

Dielectric study on Ca3Mn2O7 features relaxor-like segmented dynamics below the antiferromagnetic ordering. Dipolar relaxations of different origin are spectrally resolved exhibiting distinct H-field alterations. This identifies their…

材料科学 · 物理学 2019-09-10 Pooja Sahlot , Gaurav Sharma , Vasant Sathe , Anand Mohan Awasthi

The phase diagram of the $S\!=\!1/2$ easy-axis triangular-lattice $J_1\!-\!J_2$ model is investigated using the density-matrix renormalization group and analytical insights. We find a significant spin-liquid region extending from the…

强关联电子 · 物理学 2025-05-20 Cesar A. Gallegos , Shengtao Jiang , Steven R. White , A. L. Chernyshev

We analyze a Higgs transition from a U(1) Dirac spin liquid to a gapless $\mathbb{Z}_2$ spin liquid. This $\mathbb{Z}_2$ spin liquid is of relevance to the spin $S=1/2$ square lattice antiferromagnet, where recent numerical studies have…

强关联电子 · 物理学 2025-09-09 Leyna Shackleton , Subir Sachdev

We study the one-band Hubbard model on the honeycomb lattice using a combination of quantum Monte Carlo (QMC) simulations and static as well as dynamical mean-field theory (DMFT). This model is known to show a quantum phase transition…

Quantum fluctuations enhanced by frustration and subtle interplay between competing degrees of freedom offer an ideal ground to realize novel states with fractional quantum numbers in quantum materials that defy standard theoretical…

The formation of coplanar spin spirals is a common motif in the magnetic ordering of many frustrated magnets. For classical antiferromagnets, geometric frustration can lead to a massively degenerate ground state manifold of spirals whose…

强关联电子 · 物理学 2017-08-31 Jan Attig , Simon Trebst

We investigate the Hubbard model on the anisotropic triangular lattice with two hopping parameters $t$ and $t^\prime$ in different spatial directions, interpolating between decoupled chains ($t=0$) and the isotropic triangular lattice…

强关联电子 · 物理学 2014-06-24 Luca F. Tocchio , Claudius Gros , Roser Valentí , Federico Becca

Strong spin-orbital-coupling magnetic systems with the honeycomb structure can provide bond-directional interactions which may result in Kitaev quantum spin liquids and exotic anyonic excitations. However, one of the key ingredients in real…

Motivated by the observation of a disordered spin ground state in the $S=3/2$ material Bi$_3$Mn$_4$O$_{12}$NO$_3$, we study the ground state properties and excitation spectra of the $S=3/2$ (and for comparison $S=1/2$) bilayer Heisenberg…

强关联电子 · 物理学 2015-06-03 J. Oitmaa , R. R. P. Singh

We propose a family of modulated honeycomb lattices, a class of quasiperiodic tilings characterized by the metallic mean. These lattices consist of six distinct hexagonal prototiles with two edge lengths, $\ell$ and $s$, and can be regarded…

强关联电子 · 物理学 2025-09-23 Akihisa Koga , Toranosuke Matsubara

We investigate the ground-state and finite-temperature properties of the bond-random $s=1/2$ Heisenberg model on a honeycomb lattice with frustrated nearest- and next-nearest-neighbor antiferromagnetic interactions, $J_1$ and $J_2$, by the…

强关联电子 · 物理学 2018-10-24 Kazuki Uematsu , Hikaru Kawamura

The exactly solvable spin-1/2 Kitaev model on a honeycomb lattice has drawn significant interest, as it offers a pathway to realizing the long-sought after quantum spin liquid. Building upon the Kitaev model, Yao and Lee introduced another…

强关联电子 · 物理学 2025-03-12 Derek Churchill , Emily Z. Zhang , Hae-Young Kee

We study spin S=1 and S=3/2 Heisenberg antiferromagnets on a cubic lattice focusing on spin solid states. Using Schwinger boson formulation for spins, we start in a U(1) spin liquid phase proximate to Neel phase and explore possible…

强关联电子 · 物理学 2009-11-13 Karol Gregor , Olexei I. Motrunich