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Effects of perturbations on topologically ordered (TO) states with fractionalized excitations is very intriguing. While small perturbations are not expected to affect a robust TO, sizable perturbations must lead to onset of novel routes to…

Strongly Correlated Electrons · Physics 2015-07-09 Swagata Acharya , M. S. Laad , A. Taraphder

Recent neutron scattering measurements on the spinel CdCr2O4 revealed a rare example of helical magnetic order in geometrically frustrated pyrochlore antiferromagnet. The spin spiral characterized by an incommensurate wavevector Q = 2pi (0,…

Strongly Correlated Electrons · Physics 2013-02-19 Eunsong Choi , Gia-Wei Chern , Natalia Perkins

We study by numerical simulation the magnetic order in ensembles of randomly packed magnetic spherical particles which, induced by their uniaxial anisotropy in the strong coupling limit, behave as Ising dipoles. We explore the role of the…

Statistical Mechanics · Physics 2023-10-05 J. J. Alonso , B. Alles , J. G. Malherbe , V. Russier

On the triangular lattice, for $J_2/J_1$ between $1/8$ and $1$, the classical Heisenberg model with first and second neighbor interactions presents four-sublattice ordered ground-states. Spin-wave calculations of Chubukov and…

Condensed Matter · Physics 2009-10-28 P. Lecheminant , B. Bernu , C. Lhuillier , L. Pierre

We study the ground state properties of an anisotropic, quasi-2D version of the quantum (S=1/2) pyrochlore antiferromagnet. In the presence of Dzyaloshinsky-Moriya interactions, in addition to the Heisenberg exchanges, it is shown that two…

Strongly Correlated Electrons · Physics 2008-10-08 Valeri N. Kotov

This paper is concerned with the possibility of a direct second order transition out of a collinear Neel phase to a paramagnetic spin liquid in two dimensional quantum antiferromagnets. Contrary to conventional wisdom, we show that such…

Strongly Correlated Electrons · Physics 2013-05-29 Pouyan Ghaemi , T. Senthil

Fractional quantum Hall liquids can accomodate various degrees of spatial ordering. The most likely scenarios are a Hall hexatic, Hall smectic, and Hall crystal, in which respectively orientational, one--dimensional translational, and…

Condensed Matter · Physics 2016-08-31 Leon Balents

Collinear and non-collinear spin structures of wurtzite phase CoO often appearing in nano-sized samples are investigated using first-principles density functional theory calculations. We examined the total energy of several different spin…

Materials Science · Physics 2013-06-03 Myung Joon Han , Heung-Sik Kim , Dong Geun Kim , Jaejun Yu

We investigate partially disordered antiferromagnetism in CoCl$_2$-2SC(NH$_2$)$_2$, in which a-b plane hexagonal layers are staggered along the c-axis, rather than stacked. A robust 1/3 state forms in applied magnetic fields which the spins…

This article is devoted to a discussion of stripe and electron-nematic order and their connection to electronic properties in the pseudogap regime of copper-oxide superconductors. We review basic properties of these symmetry-breaking…

Superconductivity · Physics 2012-09-18 Matthias Vojta

Traditional frustration arises from the conflict between the spin alignments due to the geometry or the nature of the interactions. Here, we demonstrate a novel form of frustration, dubbed ``emergent frustration'', which is induced by the…

Strongly Correlated Electrons · Physics 2025-04-21 Zehui Deng , Lu Liu , Wenan Guo , Hai-Qing Lin

Quantum spin liquids are a new class of magnetic ground state in which spins are quantum mechanically entangled over macroscopic scales. Motivated by recent advances in the control of polar molecules, we show that dipolar interactions…

Strongly Correlated Electrons · Physics 2018-04-23 Norman Y. Yao , Michael P. Zaletel , Dan M. Stamper-Kurn , Ashvin Vishwanath

The coupled cluster method (CCM) has previously been applied to study the ground- and excited-state properties of many different types of frustrated and unfrustrated quantum spin systems. A common feature in the application of the CCM is to…

Strongly Correlated Electrons · Physics 2014-02-20 Damian J. J. Farnell , Andrew I. Croudace

We study possible quantum phases of the Heisenberg antiferromagnet on the planar pyrochlore lattice, also known as the checkerboard lattice or the square lattice with crossings. It is assumed that the exchange coupling on the…

Strongly Correlated Electrons · Physics 2009-11-10 Jean-Sebastien Bernier , Chung-Hou Chung , Yong Baek Kim , Subir Sachdev

The classical, square lattice, uniaxially anisotropic Heisenberg antiferromagnet in a magnetic field parallel to the easy axis is studied using Monte Carlo techniques. The model displays a long-range ordered antiferromagnetic, an…

Statistical Mechanics · Physics 2007-05-23 M. Holtschneider , W. Selke , R. Leidl

Effects of geometrical frustration and quantum fluctuation are theoretically investigated for the proton ordering in a quasi-two-dimensional hydrogen-bonded system, squaric acid crystal. We elucidate the phase diagram for an effective…

Strongly Correlated Electrons · Physics 2015-03-19 Hiroaki Ishizuka , Yukitoshi Motome , Nobuo Furukawa , Sei Suzuki

We study spin and valley ordering in the quantum Hall fractions in monolayer graphene at Landau level filling factors $\nu_G=-2+n/3$ $(n=2,4,5)$. We use exact diagonalizations on the spherical as well as toroidal geometry by taking into…

Mesoscale and Nanoscale Physics · Physics 2022-02-18 Ngoc Duc Le , Thierry Jolicoeur

The ground state of the frustrated A-site magnetic spinel CoAl2O4 has been a controversial issue whether it is a collinear antiferromagnetic ordering or a spiral spin - liquid state, as the ratio of the two competing interactions, J2/J1…

Strongly Correlated Electrons · Physics 2018-03-22 Somnath Ghara , N. V. Ter-Oganessian , A. Sundaresan

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 study the classical ground states of the exchange-coupled Heisenberg antiferromagnet on the Pyrochlore lattice, a non-Bravais lattice made of corner-sharing tetrahedra. In particular, we map out the entire phase diagram for the case of…

Strongly Correlated Electrons · Physics 2012-10-26 Matthew F. Lapa , Christopher L. Henley