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We provide an intuitive understanding of the collective low-energy spin excitation of the one-dimensional spin-1/2 antiferromagnetic Heisenberg chain, known as the spinon. To this end, we demonstrate how a single spinon can be excited by…

Strongly Correlated Electrons · Physics 2025-06-17 Teresa Kulka , Milosz Panfil , Mona Berciu , Krzysztof Wohlfeld

We report the neutron scattering results on magnetic orderings and excitations in $\mathrm{Ba}_2\mathrm{CoTeO}_6$ composed of two almost isolated subsystems A and B, which are described as an $S\,{=}\,1/2$ triangular Heisenberg-like…

Strongly Correlated Electrons · Physics 2022-02-09 Yuki Kojima , Nobuyuki Kurita , Hidekazu Tanaka , Kenji Nakajima

We use recently proposed four-spin bond-operator technique (BOT) to discuss spectral properties of frustrated spin-$\frac12$ $J_1$--$J_2$ Heisenberg antiferromagnet on square lattice at $J_2<0.4J_1$ (i.e., in the N\'eel ordered phase). This…

Strongly Correlated Electrons · Physics 2019-06-12 A. V. Syromyatnikov , A. Yu. Aktersky

We calculate the spin stiffness of the S=1/2 frustrated Heisenberg antiferromagnet directly from a general formula which is evaluated in the Schwinger boson mean-field approximation. Both N\'eel and collinear ordering are considered. For…

Statistical Mechanics · Physics 2016-08-31 M. S. L. du Croo de Jongh , P. J. H. Denteneer

Conventionally ordered magnets possess bosonic elementary excitations, called magnons. By contrast, no magnetic insulators in more than one dimension are known whose excitations are not bosons but fermions. Theoretically, some quantum spin…

Strongly Correlated Electrons · Physics 2016-07-06 J. Nasu , J. Knolle , D. L. Kovrizhin , Y. Motome , R. Moessner

Ground state and low-energy excitations of the quasi-one-dimensional antiferromagnet CuSe$_2$O$_5$ were experimentally studied using bulk magnetization, neutron diffraction, muon spin relaxation and antiferromagnetic resonance measurements.…

Strongly Correlated Electrons · Physics 2015-06-12 M. Herak , A. Zorko , M. Pregelj , O. Zaharko , G. Posnjak , Z. Jagličić , A. Potočnik , H. Luetkens , J. van Tol , A. Ozarowski , H. Berger , D. Arčon

We consider the spin-1/2 antiferromagnetic Heisenberg model on the two-dimensional square-kagome lattice with almost dispersionless lowest magnon band. For a general exchange coupling geometry we elaborate low-energy effective Hamiltonians…

Strongly Correlated Electrons · Physics 2014-09-08 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

The impact of the non-2-spinon excitations of the one-dimensional $S=1/2$ Heisenberg antiferromagnet on the integrated intensity, the susceptibility, the frequency moments, and the Euclidian time representation of the $T=0$ dynamic spin…

Condensed Matter · Physics 2007-05-23 A Fledderjohann , K H Mütter , M Karbach , G Müller

We discuss spin-$\frac12$ Heisenberg antiferromagnet on the triangular lattice using the recently proposed bond-operator technique (BOT). We use the variant of the BOT which takes into account all spin degrees of freedom in the magnetic…

Strongly Correlated Electrons · Physics 2022-04-14 A. V. Syromyatnikov

We report results of magnetic susceptibility and 51V- and 63,65Cu-NMR measurements on a high-quality powder sample of vesignieite BaCu3V2O8(OH)2, a candidate for the spin-1/2 kagome antiferromagnet. We observed a twostep magnetic…

Strongly Correlated Electrons · Physics 2017-12-01 Makoto Yoshida , Yoshihiko Okamoto , Masashi Takigawa , Zenji Hiroi

We generalize the concept of the spin-momentum locking to magnonic systems and derive the formula to calculate the spin expectation value for one-magnon states of general two-body spin Hamiltonians. We give no-go conditions for magnon spin…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Nobuyuki Okuma

We study a model of a spin S = 1/2 Heisenberg antiferromagnet on a one dimensional lattice with the local symmetry of the two dimensional kagom{\'e} lattice. Using three complementary approaches, it is shown that the low energy spectrum can…

Strongly Correlated Electrons · Physics 2009-10-31 P. Azaria , C. Hooley , P. Lecheminant , C. Lhuillier , A. M. Tsvelik

The coupled cluster method is applied to a spin-half model at zero temperature ($T=0$), which interpolates between Heisenberg antiferromagnets (HAF's) on a kagome and a square lattice. With respect to an underlying triangular lattice the…

Strongly Correlated Electrons · Physics 2015-03-17 R. F. Bishop , P. H. Y. Li , D. J. J. Farnell , C. E. Campbell

The Quantum Heisenberg Ferromagnet can be naturally reformulated in terms of interacting bosons (called spin waves or magnons) as an expansion in the inverse spin size. We calculate the first order interaction correction to the free energy,…

Mathematical Physics · Physics 2017-03-08 Niels Benedikter

We use a hydrodynamic approach to investigate dynamic spin susceptibility of the antiferromagnetic spin-$1/2$ Heisenberg chain with a uniform Dzyaloshinskii-Moriya (DM) interaction in the presence of an external magnetic field. We find that…

Strongly Correlated Electrons · Physics 2022-06-06 Ren-Bo Wang , Anna Keselman , Oleg A. Starykh

We discuss spin-$\frac12$ Heisenberg antiferromagnet on simple square lattice in magnetic field $H$ using recently proposed bond-operator technique. It is well known that magnetically ordered phases of quantum magnets are well described at…

Strongly Correlated Electrons · Physics 2020-07-15 A. V. Syromyatnikov

The search for exotic quantum spin liquid states in simple yet realistic spin models remains a central challenge in the field of frustrated quantum magnetism. Here we consider the canonical nearest-neighbor kagome Heisenberg antiferromagnet…

Strongly Correlated Electrons · Physics 2018-08-29 Amir M-Aghaei , Bela Bauer , Kirill Shtengel , Ryan V. Mishmash

Using the spin-wave approximation elementary excitations of a semi-infinite two-dimensional $S=\frac12$ Heisenberg antiferromagnet are considered. The spectrum consists of bulk modes -- standing spin waves and a quasi-one-dimensional mode…

Strongly Correlated Electrons · Physics 2015-05-14 N. Voropajeva , A. Sherman

We discuss the excitation spectrum of a disordered, isotropic and translationally invariant spin state in the 2D Heisenberg antiferromagnet. The starting point is the nearest-neighbor RVB state which plays the role of the vacuum of the…

Condensed Matter · Physics 2009-10-31 R. Eder

Spectral densities are computed in unprecedented detail for quantum antiferromagnetic spin 1/2 two-leg ladders. These results were obtained due to a major methodical advance achieved by optimally chosen unitary transformations. The approach…

Strongly Correlated Electrons · Physics 2009-11-07 C. Knetter , K. P. Schmidt , M. Grüninger , G. S. Uhrig