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We investigate a simple model of a frustrated spin-1/2 Heisenberg chain coupled to adiabatic phonons under an external magnetic field. Using field theoretic methods complemented by extensive Density Matrix Renormalisation Group techniques…

Strongly Correlated Electrons · Physics 2009-11-11 T. Vekua , D. C. Cabra , A. Dobry , C. Gazza , D. Poilblanc

Cubic to tetragonal distortion in spinel compounds have been a contentious issue for last two decades. Different groups have proposed different mechanisms to understand such a distortion in these spinels, which are: (i) spin lattice…

Strongly Correlated Electrons · Physics 2017-04-24 Sohan Lal , Sudhir K. Pandey

We study a two dimensional spin-$\frac{1}{2}$ $J_1-J_2$ antiferromagnet in a square lattice using the linearized spin wave theory recognizing the 4-sublattice nature of the underlying magnetic lattice. Multiple magnon modes with optical and…

Strongly Correlated Electrons · Physics 2015-07-09 Satyaki Kar

We theoretically investigate a $J_1$-$J_3$ classical Heisenberg model on the breathing pyrochlore lattice, where the nearest-neighbor (NN) exchange interactions for small and large tetrahedra, $J_1$ and $J_1'$, take different values due to…

Strongly Correlated Electrons · Physics 2022-08-15 Kazushi Aoyama , Hikaru Kawamura

First-principles calculations of the spin-orbit coupling in graphene with hydrogen adatoms in dense and dilute limits are presented. The chemisorbed hydrogen induces a giant local enhancement of spin-orbit coupling due to $sp^3$…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Martin Gmitra , Denis Kochan , Jaroslav Fabian

We explore the quantum pseudospin-1 pyrochlore magnet featuring Fe$^{2+}$-based spinel oxides that addresses the formation of amplitude-modulated spin-density waves. We propose that the relatively small spin-orbit coupling and the small…

Strongly Correlated Electrons · Physics 2025-08-05 Hiroki Nakai , Chisa Hotta

We study geometrically frustrated antiferromagnets with magnetoelastic coupling. Frustration in these systems may be relieved by a structural transition to a low temperature phase with reduced lattice symmetry. We examine the statistical…

Strongly Correlated Electrons · Physics 2008-06-30 Timothy E. Saunders , John T. Chalker

We consider the pyrochlore-lattice quantum Heisenberg ferromagnet and discuss the properties of this spin model at arbitrary temperatures. To this end, we use the Green's function technique within the random-phase (or Tyablikov)…

Strongly Correlated Electrons · Physics 2018-09-27 T. Hutak , P. Müller , J. Richter , T. Krokhmalskii , O. Derzhko

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

Strongly Correlated Electrons · Physics 2021-11-16 Nikita Astrakhantsev , Tom Westerhout , Apoorv Tiwari , Kenny Choo , Ao Chen , Mark H. Fischer , Giuseppe Carleo , Titus Neupert

We investigate spin diffusion in geometrically frustrated Heisenberg antiferromagnets. It is found that the diffusion constant gradually increases from its high temperature limit as the temperature approaches the peak temperature of the…

Strongly Correlated Electrons · Physics 2009-11-10 D. L. Huber

The spin wave excitations of the geometrically frustrated triangular lattice antiferromagnet (TLA) $\rm CuFeO_2$ have been measured using high resolution inelastic neutron scattering. Antiferromagnetic interactions up to third nearest…

Strongly Correlated Electrons · Physics 2007-10-08 F. Ye , J. A. Fernandez-Baca , R. S. Fishman , Y. Ren , H. J. Kang , Y. Qiu , T. Kimura

The pyrochlore lattice involves corner sharing tetrahedra and the resulting geometric frustration is believed to suppress any antiferromagnetic order for Mott insulators on this structure. There are nevertheless short-range correlations…

Strongly Correlated Electrons · Physics 2016-10-19 Nyayabanta Swain , Rajarshi Tiwari , Pinaki Majumdar

The discovery of correlated insulating states in moir\'e heterostructures has renewed the interest in strongly-coupled electron systems where spin and valley (or layer) degrees of freedom are intertwined. In the strong-coupling limit, such…

Strongly Correlated Electrons · Physics 2023-07-10 Lasse Gresista , Dominik Kiese , Simon Trebst , Michael M. Scherer

To search for novel spin-charge coupled phenomena in the strongly correlated electron system on a frustration lattice, charge transport and dynamics have been investigated for the hole-doped spin-glass (Mott) insulator…

Strongly Correlated Electrons · Physics 2011-09-20 S. Iguchi , Y. Kumano , K. Ueda , S. Kumakura , Y. Tokura

For nearly three decades frustrated magnetism research in three dimensions (3D) has centered on the pyrochlore geometry of corner-sharing tetrahedra and the classical spin liquid (CSL) known as spin ice. In this work, we propose that a…

Strongly Correlated Electrons · Physics 2026-03-16 Matthew Stern , Michael D. Burke , Michel J. P. Gingras , Judit Romhányi , Kristian Tyn Kai Chung

A simple intuitive picture of spin-Peierls antiferromagnets arises from regarding the elementary excitations as S=1/2 solitons. In a strictly one-dimensional system these excitations are assumed not to form bound-states and to be repelled…

Strongly Correlated Electrons · Physics 2009-10-31 E. Sorensen , I. Affleck , D. Augier , D. Poilblanc

We propose a mechanism to obtain chiral phonon-like excitations from the bond-dependent magnetoelastic couplings in the absence of out-of-plane magnetization and magnetic fields. By mapping the hybrid excitation to its phononic analog, we…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 Bowen Ma , Z. D. Wang , Gang V. Chen

We study the anomalous Hall effect on the antiferromagnetic coloring-triangular lattice with a coplanar magnetic configuration in presence of a spin-orbit interaction. The effect of the spin-orbit coupling is included at effective level as…

Strongly Correlated Electrons · Physics 2022-07-20 A. C. Duran , S. A. Osorio , M. B. Sturla

We develop a theory to investigate how geometrically frustrated clusters that become decorated affect the Cluster Spin Glass phase. The cluster structure is assumed to be a tetrahedron composed of Ising spins with z-anisotropy placed at its…

Statistical Mechanics · Physics 2025-07-31 S. G. Magalhaes , F. M. Zimmer , R. Erichsen

Although the frustrated spin chain (zigzag chain) is a Drosophila of frustrated magnetism, the understanding of a pair of coupled zigzag chains (frustrated spin ladder) in a magnetic field is incomplete. We address this problem through…

Strongly Correlated Electrons · Physics 2021-10-05 M. Pikulski , T. Shiroka , F. Casola , A. P. Reyes , P. L. Kuhns , S. Wang , H. -R. Ott , J. Mesot