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In itinerant magnets, the indirect exchange coupling of Ruderman-Kittel-Kasuya-Yosida type is known to stabilize incommensurate spin spiral. Whereas an account of higher order spin interactions favors the formation of a noncoplanar magnetic…

Mesoscale and Nanoscale Physics · Physics 2022-10-18 G. V. Paradezhenko , A. A. Pervishko , N. Swain , P. Sengupta , D. Yudin

The spin S=$\frac{1}{2}$ Kitaev honeycomb model has attracted significant attention, since emerging candidate materials have provided a playground to test non-Abelian anyons. The Kitaev model with higher spins has also been theoretically…

Strongly Correlated Electrons · Physics 2019-07-24 P. Peter Stavropoulos , D. Pereira , Hae-Young Kee

We study spin-half and spin-one Heisenberg models in the limit where one dimensional (1-D) linear chains, with exchange constant J1, are weakly coupled in an anisotropic triangular lattice geometry. Results are obtained by means of…

Strongly Correlated Electrons · Physics 2009-11-13 T. Pardini , R. R. P. Singh

Torque, torque relaxation, and magnetization measurements on a AuFe spin glass sample are reported. The experiments carried out up to 7 T show a transverse irreversibility line in the (H,T) plane up to high applied fields, and a distinct…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. Petit , L. Fruchter , I. A. Campbell

The unconventional magnetic orderings found in Kitaev spin liquid candidates suggest frustration of spin interactions, and raise a possibility of nearby spin liquid phases. In particular, counter-rotating spiral ordering in…

Strongly Correlated Electrons · Physics 2018-09-12 Panagiotis Peter Stavropoulos , Andrei Catuneanu , Hae-Young Kee

The Kitaev spin liquid model on honeycomb lattice offers an intriguing feature that encapsulates both Abelian and non-Abelian anyons. Recent studies suggest that the comprehensive phase diagram of possible generalized Kitaev model largely…

Strongly Correlated Electrons · Physics 2024-02-26 Bowen Yan , Penghua Chen , Shawn X. Cui

For certain non-magnetic solids with low symmetry the occurrence of spin-polarized longitudinal currents is predicted. These arise due to an interplay of spin-orbit interaction and the particular crystal symmetry. This result is derived…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 S. Wimmer , M. Seemann , K. Chadova , D. Ködderitzsch , H. Ebert

We investigate the effects of magnetic fields on excitonic condensation in the extended Falicov-Kimball model, which is a spinless two-orbital Hubbard model with orbital splitting. In lattice systems under magnetic fields up to several tens…

Strongly Correlated Electrons · Physics 2025-04-16 Naoya Ohta , Joji Nasu

We present an extensive overview of the phase diagram, spin-wave excitations, and finite-temperature transitions of the anisotropic-exchange magnets on an ideal nearest-neighbor triangular lattice. We investigate transitions between five…

Strongly Correlated Electrons · Physics 2022-02-23 P. A. Maksimov , Zhenyue Zhu , Steven R. White , A. L. Chernyshev

The behavior of the paradigmatic $J_1-J_2$ triangular lattice Heisenberg antiferromagnet in a magnetic field remains unsettled despite decades of study. We map out the phase diagram using three complementary approaches, including…

Strongly Correlated Electrons · Physics 2025-12-10 Thomas Bader , Shi Feng , Sasank Budaraju , Federico Becca , Johannes Knolle , Frank Pollmann

We investigate spinon band topology and engineering from the interplay between long-ranged magnetic order and fractionalized spinons, as well as Zeeman coupling under external magnetic fields, in honeycomb lattice magnets. The synergism of…

Strongly Correlated Electrons · Physics 2020-10-21 Yong Hao Gao , Xu Ping Yao , Gang Chen

The pyrochlore materials have long been predicted to harbor a quantum spin liquid, an intrinsic long-range-entangled state supporting fractionalized excitations. Existing pyrochlore experiments, on the other hand, have discovered several…

Strongly Correlated Electrons · Physics 2019-08-19 Chunxiao Liu , Gábor B. Halász , Leon Balents

The global phase diagram of a doped Kitaev-Heisenberg model is studied using an SU(2) slave-boson mean-field method. Near the Kitaev limit, p-wave superconducting states which break the time-reversal symmetry are stabilized as reported by…

Strongly Correlated Electrons · Physics 2015-06-12 Satoshi Okamoto

We investigate the new quantum phases on the extended Kane-Mele-Hubbard model of honeycomb lattice in the Hofstadter regime. In this regime, orbital motion of the electrons can induce various topological phases with spontaneously broken…

Strongly Correlated Electrons · Physics 2018-12-19 Archana Mishra , SungBin Lee

The Kitaev spin liquid realizes an emergent static $\mathbb{Z}_2$ gauge field with vison excitations coupled to Majorana fermions. We consider Kitaev models stacked on top of each other, weakly coupled by Heisenberg interaction $\propto…

Strongly Correlated Electrons · Physics 2024-08-20 Aprem P. Joy , Achim Rosch

Quantum spin liquids (QSLs) host a variety of fractionalized particles. In Kitaev's paradigmatic honeycomb model a spin-$\tfrac{1}{2}$ fractionalizes into $Z_2$ flux due to emergent $Z_2$ gauge field and matter Majorana fermions. Although…

Strongly Correlated Electrons · Physics 2026-01-22 Shi Feng , Nandini Trivedi

Elementary excitations in highly entangled states such as quantum spin liquids may exhibit exotic statistics, different from those obeyed by fundamental bosons and fermions. Excitations called non-Abelian anyons are predicted to exist in a…

Strongly Correlated Electrons · Physics 2019-06-11 Jacob S. Gordon , Andrei Catuneanu , Erik S. Sørensen , Hae-Young Kee

By using the variational Monte Carlo method, we study the magnetization process of the Kitaev honeycomb model in a magnetic field. Our trial wavefunction is a generalized Bardeen-Cooper-Schrieffer wave function with the Jastrow correlation…

Strongly Correlated Electrons · Physics 2020-01-31 Kota Ido , Takahiro Misawa

Spin and chirality orderings of the three-dimensional Heisenberg spin glass under magnetic fields are studied by large-scale equilibrium Monte Carlo simulations. It is found that the chiral-glass transition and the chiral-glass ordered…

Disordered Systems and Neural Networks · Physics 2009-11-07 Daisuke Imagawa , Hikaru Kawamura

The moir\'e engineering of two-dimensional magnets opens unprecedented opportunities to design novel magnetic states with promises for spintronic device applications. The possibility of stabilizing skyrmions in these materials without…

Materials Science · Physics 2022-08-03 Doried Ghader , Bilal Jabakhanji , Alessandro Stroppa
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