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Entangled spin and orbital degrees of freedom provide a multiflavor route to novel magnetic states inaccessible in conventional spin systems. Here, we report the experimental identification of an emergent vortex lattice in the multiflavor…

By using the tensor-network state algorithm, we study a spin-orbital model with SU(2)$\times$SU(2)$\times$U(1) symmetry on the triangular lattice. This model was proposed to describe some triangular $d^1$ materials and was argued to host a…

Strongly Correlated Electrons · Physics 2024-06-19 Yang Liu , Z. Y. Xie , Hong-Gang Luo , Jize Zhao

Quantum spin rings represent an intriguing platform for studying unconventional magnetic order and exotic quantum phases, and they are also promising materials for emerging quantum technologies. Conventional spin systems consist of a set of…

A formation of tetrahedral spin clusters is discovered by Monte Carlo simulation for a spin-ice type double-exchange model on a pyrochlore lattice. The spin-cluster phase is magnetically disordered, but breaks spatial inversion symmetry…

Strongly Correlated Electrons · Physics 2014-08-29 Hiroaki Ishizuka , Yukitoshi Motome

A model for a Heisenberg antiferromagnet on a pyrochlore lattice with exchange and dipole-dipole interactions is studied via mean-field theory. In treating the dipoles by use of the Ewald method, a soft (critical) mode with a unique…

Statistical Mechanics · Physics 2007-05-23 Matthew Enjalran , Michel J. P. Gingras

The mineral malachite, Cu2(OD)2CO3, has a quantum spin-liquid ground state and no long-range magnetic order down to at least T=0.4 K. Inelastic neutron scattering measurements show that the excitation spectrum consists of dispersive gapped…

Strongly Correlated Electrons · Physics 2015-03-05 E. Canevet , B. Fak , R. K. Kremer , J. H. Chun , M. Enderle , E. E. Gordon , J. L. Bettis , M. -H. Whangbo , J. W. Taylor , D. T. Adroja

We present a systematic classification and variational study of chiral quantum spin liquids on the pyrochlore lattice based on fermionic parton constructions. Focusing on chiral $\mathrm{U(1)}$ and $\mathbb{Z}_2$ spin-liquid Ans\"atze, we…

Strongly Correlated Electrons · Physics 2026-04-15 Chunxiao Liu , Leon Balents , Yasir Iqbal

We show that the nonlinear transport of bosonic excitations in a two-dimensional honeycomb lattice of spin-orbit coupled Rydberg atoms gives rise to disordered quantum phases which are candidates for quantum spin liquids. As recently…

Quantum Gases · Physics 2023-03-02 Simon Ohler , Maximilian Kiefer-Emmanouilidis , Michael Fleischhauer

Recent advances in moir\'e engineering motivate the study of lattice models of strongly-correlated electrons subjected to substantial orbital magnetic flux. We analyze the triangular lattice Hofstadter-Hubbard model at one-quarter flux…

Strongly Correlated Electrons · Physics 2026-03-31 Stefan Divic , Tomohiro Soejima , Valentin Crépel , Michael P. Zaletel , Andrew Millis

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

The Dirac spin liquid ground state of the spin 1/2 Heisenberg kagome antiferromagnet has potential instabilities[1-4]. This has been suggested as the reason why it is not strongly supported in large-scale numerical calculations[5]. However,…

Strongly Correlated Electrons · Physics 2013-11-13 Bryan Clark , Jesse Kinder , Eric Neuscamman , Garnet Kin-Lic Chan , Michael J. Lawler

A spin-glass compound, La$_{1.98}$Sr$_{0.02}$CuO$_4$, shows quasi-three-dimensional magnetic ordering below $\sim$40 K. A remarkable feature is that the magnetic correlation length along the orthorhombic $a\rm_{ortho}$ axis is much longer…

Strongly Correlated Electrons · Physics 2009-10-31 M. Matsuda , Y. S. Lee , M. Greven , M. A. Kastner , R. J. Birgeneau , K. Yamada , Y. Endoh , P. Boeni , S. -H. Lee , S. Wakimoto , G. Shirane

Reproducing the electronic structure of AM$_4$X$_8$ lacunar spinels with a breathing pyrochlore lattice is a great theoretical challenge due to the interplay of various factors. The character of the M$_4$X$_4$ cluster orbitals is critically…

Strongly Correlated Electrons · Physics 2020-02-20 S. Reschke , F. Meggle , F. Mayr , V. Tsurkan , L. Prodan , H. Nakamura , J. Deisenhofer , C. A. Kuntscher , I. Kézsmárki

The recent synthesis of the chromium selenide compound LiCrSe$_2$ constitutes a valuable addition to the ensemble of two-dimensional triangular lattice antiferromagnets (2D-TLA). In this work we present the very first comprehensive study of…

Recent experiment on a honeycomb-lattice Heisenberg antiferromagnet (AF) Bi$_3$Mn$_4$O$_{12}$(NO$_3$) revealed a novel spin-liquid-like behavior down to low temperature, which was ascribed to the frustration effect due to the competition…

Strongly Correlated Electrons · Physics 2015-05-18 Soichiro Okumura , Hikaru Kawamura , Tsuyoshi Okubo , Yukitoshi Motome

A linear spin-wave approach, a variational method and exact diagonlization are used to investigate the magnetic long-range order (LRO) of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional 1/7-depleted triangular (maple leaf)…

Strongly Correlated Electrons · Physics 2009-11-07 D. Schmalfuss , P. Tomczak , J. Schulenburg , J. Richter

Motivated by the observation of a gapless spin liquid state in $\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$, we analyze the anisotropic triangular lattice $S=1/2$ Heisenberg model with the resonating valence bond mean-field approximation. Paying…

Strongly Correlated Electrons · Physics 2007-06-13 Yuta Hayashi , Masao Ogata

We study a model of strongly correlated S=1/2 fermions on the planar pyrochlore, or checkerboard, lattice, at fractional (1/8) filling. Starting with the extended Hubbard model in the limit of strong Coulomb repulsion, low-energy…

Strongly Correlated Electrons · Physics 2008-11-13 F. Trousselet , D. Poilblanc , R. Moessner

Twisting moir\'e heterostructures to the flatband regime allows for the formation of strongly correlated quantum states, since the dramatic reduction of the bandwidth can cause the residual electronic interactions to set the principal…

Strongly Correlated Electrons · Physics 2020-03-31 Dominik Kiese , Finn Lasse Buessen , Ciarán Hickey , Simon Trebst , Michael M. Scherer

The spin-wave theory and the coherent potential approximation are applied to a spin S Heisenberg antiferromagnet with nonmagnetic impurities on square lattice. The impurity effects are taken into account by substituting S(1-x) for S and…

Disordered Systems and Neural Networks · Physics 2009-10-31 Chitoshi Yasuda , Akihide Oguchi
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