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We study quantum antiferromagnetism on the highly frustrated checkerboard lattice, also known as the square lattice with crossings. The quantum Heisenberg antiferromagnet on this lattice is of interest as a two-dimensional analog of the…

Statistical Mechanics · Physics 2015-06-24 R. Moessner , Oleg Tchernyshyov , S. L. Sondhi

After removal of an applied magnetic field, artificial square spin ice can be left in a metastable remanent state, with nonzero residual magnetization and excess energy above the ground state. Using a model of magnetic islands with dipoles…

Mesoscale and Nanoscale Physics · Physics 2026-03-20 G. M. Wysin

We present numerical studies of dipolar spin ice in the presence of a magnetic field slightly tilted away from the [111] axis. We find a first-order transition from a kagome ice to a $\mathbf{q}=$X state when the external field is tilted…

Statistical Mechanics · Physics 2016-06-08 Wen-Han Kao , Peter Holdsworth , Ying-Jer Kao

We consider doping of non-magnetic impurities in the spin-1/2, 1/5-depleted square lattice. This structure, whose undoped phase diagram offers both magnetically ordered and spin-liquid ground states, is realized physically in CaV_4O_9.…

Strongly Correlated Electrons · Physics 2009-10-31 S. Wessel , B. Normand , M. Sigrist , S. Haas

Conflicting interpretations of experimental data preclude the understanding of the quantum magnetic state of spin-orbit coupled $d^2$ double perovskites. Whether the ground state is a Janh-Teller-distorted order of quadrupoles or the…

Strongly Correlated Electrons · Physics 2021-12-02 Leonid V. Pourovskii , Dario Fiore Mosca , Cesare Franchini

Quantum fluctuations in the effective spin one-half layered structure triangular-lattice quantum Heisenberg antiferromagnet Ba$_3$CoSb$_2$O$_9$ lift the classical degeneracy of the antiferromagnetic ground state in magnetic field, producing…

Strongly Correlated Electrons · Physics 2021-06-02 N. A. Fortune , Q. Huang , T. Hong , J. Ma , E. S. Choi , S. T. Hannahs , Z. Y. Zhao , X. F. Sun , Y. Takano , H. D. Zhou

We figure out that the ground state of a multiple-spin exchange model applicable to thin films of solid 3He possesses an octahedral spin nematic order. In the presence of magnetic field, it is deformed into an antiferro-quadrupolar order in…

Strongly Correlated Electrons · Physics 2012-02-06 Tsutomu Momoi , Philippe Sindzingre , Kenn Kubo

Artificial square spin ices are structures composed of magnetic elements arranged on a geometrically frustrated lattice and located on the sites of a two-dimensional square lattice, such that there are four interacting magnetic elements at…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 Ezio Iacocca , Sebastian Gliga , Robert L. Stamps , Olle Heinonen

We investigate the phase diagram of the anisotropic spin-1/2 triangular lattice antiferromagnet, with interchain diagonal exchange J' much weaker than the intrachain exchange J. We find that fluctuations lead to a competition between…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg A. Starykh , Leon Balents

We find that the true ground state of the dipolar spin ice system under [110]-magnetic fields is the ``Q=X'' structure, which is consistent with both experiments and Monte Carlo simulations. We then perform a Monte Carlo simulation to…

Statistical Mechanics · Physics 2009-11-10 Shun-ichi Yoshida , Koji Nemoto , Koh Wada

We study $\Gamma_3$ quadrupole orders in a face-centered cubic lattice. The $\Gamma_3$ quadrupole moments under cubic symmetry possess a unique cubic invariant in their free energy in the uniform ($q=0$) sector and the triple-q sector for…

Strongly Correlated Electrons · Physics 2023-07-06 Kazumasa Hattori , Takayuki Ishitobi , Hirokazu Tsunetsugu

With decreasing temperature Sr$_2$VO$_4$ undergoes two structural phase transitions, tetragonal-to-orthorhombic-to-tetragonal, without long-range magnetic order. Recent experiments suggest, that only at very low temperature Sr$_{2}$VO$_{4}$…

Materials Science · Physics 2017-11-15 Bongjae Kim , Sergii Khmelevskyi , Peter Mohn , Cesare Franchini

When the constituent spins have an energetic preference to lie along an easy-axis, triangular and Kagome lattice antiferromagnets often develop long-range order that distinguishes the three sublattices of the underlying triangular Bravais…

Statistical Mechanics · Physics 2015-10-28 Kedar Damle

We investigate numerically the micromagnetic properties and the low-energy physics of an artificial square spin system in which the nanomagnets are physically connected at the lattice vertices. Micromagnetic simulations reveal that the…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Yann Perrin , Benjamin Canals , Nicolas Rougemaille

Artificial spin ice systems have opened experimental windows into a range of model magnetic systems through the control of interactions among nanomagnet moments. This control has previously been enabled by altering the nanomagnet size and…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Susan Kempinger , Yu-Sheng Huang , Paul Lammert , Michael Vogel , Axel Hoffmann , Vincent H. Crespi , Peter Schiffer , Nitin Samarth

We investigate antiferro quadrupole orders in a diamond lattice under magnetic fields by Monte Carlo simulations for two types of classical effective models. One is an XY model with Z_3 anisotropy, and the other is a two-component phi^4…

Strongly Correlated Electrons · Physics 2016-08-24 Kazumasa Hattori , Hirokazu Tsunetsugu

We propose novel triple-${\bm q}$ multipole orders as possible candidates for the two distinct low-temperature symmetry broken phases in quadrupolar system PrV$_2$Al$_{20}$. An analysis of the experiment under [111] magnetic fields…

Strongly Correlated Electrons · Physics 2021-12-24 Takayuki Ishitobi , Kazumasa Hattori

The origin of non-collinear magnetic order in UO$_{2}$ is studied by an ab initio dynamical-mean-field-theory framework in conjunction with a linear-response approach for evaluating inter-site superexchange interactions between U 5$f^{2}$…

Strongly Correlated Electrons · Physics 2019-04-24 Leonid V. Pourovskii , Sergii Khmelevskyi

We study a frustrated dipolar array recently manufactured lithographically by Wang {\em et al.} [Nature {\bf 439}, 303 (2006)] in order to realize the square ice model in an artificial structure. We discuss models for thermodynamics and…

Statistical Mechanics · Physics 2007-05-23 Gunnar Moller , R. Moessner

Based on a generalized one-band Hubbard model, we study magnetic properties of Mott insulating states for ultracold spin-3/2 fermionic atoms in optical lattices. When the \textit{s}-wave scattering lengths for the total spin $S=2,0$ satisfy…

Strongly Correlated Electrons · Physics 2007-05-23 Hong-Hao Tu , Guang-Ming Zhang , Lu Yu