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We show how a gapless spin liquid with hidden octupolar order arises in an applied magnetic field, in a model applicable to thin films of 3He with competing ferromagnetic and antiferromagnetic (cyclic) exchange interactions. Evidence is…

Strongly Correlated Electrons · Physics 2007-05-23 Tsutomu Momoi , Philippe Sindzingre , Nic Shannon

We discuss the possibility of finding n-type nematic order in the vicinity of a FM phase in the multiple--spin exchange model on the triangular lattice. We study this problem both from S=\infty (classical) and S=1/2 (quantum) limits.

Strongly Correlated Electrons · Physics 2009-11-11 Tsutomu Momoi , Nic Shannon

We study a multiple-spin exchange model on a triangular lattice, which is a possible model for low-density solid 3He films. Due to strong competitions between ferromagnetic three-spin exchange and antiferromagnetic four-spin one, the ground…

Strongly Correlated Electrons · Physics 2009-10-31 Tsutomu Momoi , Harumi Sakamoto , Kenn Kubo

We propose a variant of the antiferromagnetic XY model on the triangular lattice to study the interplay between the chiral and nematic orders in addition to the magnetic order. The model has a significant bi-quadratic interaction of the…

Strongly Correlated Electrons · Physics 2009-11-13 Jin-Hong Park , Shigeki Onoda , Naoto Nagaosa , Jung Hoon Han

At low temperatures, some lattice spin models with simple ferromagnetic or antiferromagnetic interactions (for example nearest-neighbour interaction being isotropic in spin space on a bipartite three-dimensional lattice) produce…

Statistical Mechanics · Physics 2014-09-16 H. Chamati , S. Romano

Exchange interaction tends to favor collinear or coplanar magnetic orders in rotationally invariant spin systems. Indeed, such magnetic structures are usually selected by thermal or quantum fluctuations in highly frustrated magnets. Here we…

Strongly Correlated Electrons · Physics 2010-11-25 Gia-Wei Chern

Using synchrotron X-rays and neutron diffraction we disentangle spin-lattice order in highly frustrated ZnCr$_2$O$_4$ where magnetic chromium ions occupy the vertices of regular tetrahedra. Upon cooling below 12.5 K the quandary of…

Strongly Correlated Electrons · Physics 2009-05-14 S. Ji , S. -H. Lee , C. Broholm , T. Y. Koo , W. Ratcliff , S-W. Cheong , P. Zschack

The phase diagram of the multiple-spin exchange model on the triangular lattice is studied using exact diagonalizations. The two-spin (J_2) and four-spin (J_4) exchanges have been taken into account for 12, 16, 19, 21, 24, and 27 site…

Strongly Correlated Electrons · Physics 2009-10-31 Weyls LiMing , Gregoire Misguich , Philippe Sindzingre , Claire Lhuillier

We study a spin system with both two- and four-spin exchange interactions on the triangular lattice as a possible model for the nuclear magnetism of solid $^3$He layers adsorbed on grafoil. The ground state is analyzed by the use of the…

Condensed Matter · Physics 2009-10-30 Kenn Kubo , Tsutomu Momoi

Using exact diagonalizations, we investigate the T=0 phase diagram of the Multi-Spin Exchange (MSE) model on the triangular lattice: we find a transition separating a ferromagnetic phase from a non-magnetic gapped Spin Liquid phase. Systems…

Strongly Correlated Electrons · Physics 2009-10-31 G. Misguich , B. Bernu , C. Lhuillier , C. Waldtmann

Motivated by the spate of recent experimental and theoretical interest in Mott insulating S=1 triangular lattice magnets, we consider a model S=1 Hamiltonian on a triangular lattice interacting with rotationally symmetric biquadratic…

Strongly Correlated Electrons · Physics 2012-09-10 Ribhu K. Kaul

Chiral three-spin interactions can suppress long-range magnetic order and stabilize quantum spin liquid states in frustrated lattices. We study a spin-1/2 model on the kagome lattice involving a staggered three-spin interaction $J_\chi$ in…

Strongly Correlated Electrons · Physics 2022-09-07 Fabrizio Oliviero , João Augusto Sobral , Eric C. Andrade , Rodrigo G. Pereira

We uncover four new spin-charge ordered ground states in the strong coupling limit of the Kondo lattice model on triangular geometry. Two of the states at one-third electronic filling ($n=1/3$) consist of decorated ferromagnetic chains…

Strongly Correlated Electrons · Physics 2015-06-23 Sahinur Reja , Rajyavardhan Ray , Jeroen van den Brink , Sanjeev Kumar

Hexagonal HoMnO$_{3}$ is a frustrated antiferromagnet (T$_{N}$=72 K) ferroelectric (T$_{C}$=875 K) in which these two order parameters are coupled. Our neutron measurements of the spin wave dispersion for the S=2 Mn$^{3+}$ on the layered…

Strongly Correlated Electrons · Physics 2009-11-11 O. P. Vajk , M. Kenzelmann , J. W. Lynn , S. B. Kim , S. -W. Cheong

Using systematic effective field theory, we explore the properties of antiferromagnetic films subjected to magnetic and staggered fields that are either mutually aligned or mutually orthogonal. We provide low-temperature series for the…

Strongly Correlated Electrons · Physics 2020-08-31 Christoph P. Hofmann

Nematic order is the breaking of rotational symmetry in the presence of translational invariance. While originally defined in the context of liquid crystals, the concept of nematic order has arisen in crystalline matter with discrete…

The ground state of the multiple-spin exchange model with up to the six-spin exchange interactions on a triangular lattice in the magnetic field is investigated within the mean-field approximation. By comparing the phase diagrams of systems…

Strongly Correlated Electrons · Physics 2019-01-24 Chitoshi Yasuda , Yuma Uchihira , Shogo Taira , Kenn Kubo

In order to study effects of frustration in an itinerant electron system, we investigate ground states of the antiferromagnetic double-exchange model on a triangular lattice. In this model, pseudo-spins are coupled to electron transfer…

Strongly Correlated Electrons · Physics 2009-11-11 Yoshihiro Shimomura , Shin Miyahara , Nobuo Furukawa

We identify the triple-Q (3Q) state as magnetic ground state in Pd/Mn and Rh/Mn bilayers on Re(0001) using spin-polarized scanning tunneling microscopy and density functional theory. An atomistic model reveals that in general the 3Q state…

The two-orbital double-exchange model is employed for the study of the magnetic and orbital orders in ($R$MnO$_3$)$_n$/($A$MnO$_3$)$_{2n}$ ($R$: rare earths; $A$: alkaline earths) superlattices. The A-type antiferromagnetic order is…

Strongly Correlated Electrons · Physics 2012-12-11 Shuai Dong , Qinfang Zhang , Seiji Yunoki , J. -M. Liu , Elbio Dagotto
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