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CrI$_{3}$ is considered to be a promising candidate for spintronic devices and data storage. We derived the Heisenberg Hamiltonian for CrI$_{3}$ from density functional calculations using the Liechtenstein formula. Moreover, the…

Materials Science · Physics 2023-04-24 Hung Ba Tran , Hiroyoshi Momida , Yu-ichiro Matsushita , Koun Shirai , Tamio Oguchi

Magnetic anisotropy is crucial for sustaining long range magnetic order in two-dimensional materials (2D) and must be taken into account by any approximate scheme for calculating critical temperatures. While 2D ferromagnets have received…

Materials Science · Physics 2026-02-18 Varun Rajeev Pavizhakumari , Thomas Olsen

Precise thermal expansion and magnetostriction studies of the intermetallic compound Eu$_2$CuSi$_3$ in the temperature range between 5 and 300 K are presented. A clear sign of magnetic second order phase transition at the ferromagnetic…

Strongly Correlated Electrons · Physics 2017-02-03 Liran Wang , Lars Wallbaum , Changhyun Koo , Chongde D. Cao , Wolfgang Löser , Rüdiger Klingeler

The monolayer of $\textrm{CrI}_3$ has been reported to exhibit the ferromagnetic order, with a Curie temperature of $45 K$ and off-plane easy axis, which has attracted much attention in the community of condensed matter physics. Using the…

Strongly Correlated Electrons · Physics 2022-11-11 Bartosz Rzepkowski , Michał Kupczyński , Paweł Potasz , Arkadiusz Wójs

The field-driven reorientation transition of an anisotropic ferromagnetic monolayer is studied within the context of a finite-temperature Green's function theory. The equilibrium state and the field dependence of the magnon energy gap $E_0$…

Materials Science · Physics 2007-05-23 M. G. Pini , P. Politi , R. L. Stamps

Few-layer CrI$_3$ is the most known example among two-dimensional (2D) ferromagnets, which have attracted growing interest in recent years. Despite considerable efforts and progress in understanding the properties of 2D magnets both from…

Strongly Correlated Electrons · Physics 2021-01-14 I. V. Kashin , V. V. Mazurenko , M. I. Katsnelson , A. N. Rudenko

Recent realizations of intrinsic magnetic order in truly two-dimensional materials have opened new avenues in the fundamental knowledge and spintronic applications. Here we develop an anisotropic Heisenberg model with relativistic exchange…

Materials Science · Physics 2021-07-27 Chandan K. Singh , Mukul Kabir

After the discovery of magnetism in monolayer CrI3, the magnetic properties of different 2D materials from the chromium-trihalide family are intuitively assumed to be similar, yielding magnetic anisotropy from the spin-orbit coupling on…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 C. Bacaksiz , D. Šabani , R. M. Menezes , M. V. Milošević

The low energy excitation spectrum of a two-dimensional ferromagnetic material is dominated by single-magnon excitations that show a gapless parabolic dispersion relation with the spin wave vector. This occurs as long as magnetic anisotropy…

Mesoscale and Nanoscale Physics · Physics 2023-10-25 F. Delgado , M. M. Otrokov , A. Arnau

We report a systematic investigation of dc magnetization and ac susceptibility, as well as anisotropic magnetocaloric effect in bulk CrI$_3$ single crystals. A second-stage magnetic transition was observed just below the Curie temperature…

Strongly Correlated Electrons · Physics 2018-05-22 Yu Liu , C. Petrovic

On the basis of a first-principles, relativistic electronic structure theory of finite temperature metallic magnetism, we investigate the variation of magnetic anisotropy, K, with magnetisation, M, in metallic ferromagnets. We apply the…

Materials Science · Physics 2009-11-10 J. B. Staunton , S. Ostanin , S. S. A. Razee , B. L. Gyorffy , L. Szunyogh , B. Ginatempo , Ezio Bruno

wo-dimensional (2D) materials unique properties and their promising applications in post-silicon microelectronics have attracted significant attention in the past decade. Recently, ferromagnetic order with out-of-plane easy axis in a…

Materials Science · Physics 2020-07-28 Maedeh Rassekh , Junjie He , Saber Farjami Shayesteh , Juan Jose Palacios

We compare three first-principles methods of calculating the Curie temperature in two-dimensional (2D) ferromagnetic materials (FM), modeled using the Heisenberg model, and propose a simple formula for estimating the Curie temperature with…

Nanoscale layered ferromagnets have demonstrated fascinating two-dimensional magnetism down to atomic layers, providing a peculiar playground of spin orders for investigating fundamental physics and spintronic applications. However,…

Magnetic anisotropy in complex oxides often originates from the complex interplay of several factors, including crystal structure, spin-orbit coupling, and electronic interactions. Recent studies on Ru-substituted $La_{0.70}Sr_{0.30}MnO_3$…

Materials Science · Physics 2025-11-25 Brajagopal Das , Cinthia Piamonteze , Lior Kornblum

Two-dimensional (2D) materials with intrinsic ferromagnetism provide unique opportunity to engineer new functionalities in nano-spintronics. One such material is CrI$_3$, showing long-range magnetic order in monolayer with the Curie…

Strongly Correlated Electrons · Physics 2019-09-20 Yu Liu , Lijun Wu , Xiao Tong , Jun Li , Jing Tao , Yimei Zhu , C. Petrovic

The recent observations of ferromagnetic order in several two-dimensional (2D) materials have generated an enormous interest in the physical mechanisms underlying 2D magnetism. In the present prospective article we show that Density…

Materials Science · Physics 2020-02-18 Thomas Olsen

Magnetic anisotropy plays an essential role in information technology applications of magnetic materials, providing a means to retain the long-term stability of a magnetic state in the presence of thermal fluctuations. Anisotropy consists…

Materials Science · Physics 2020-08-05 Richard F. L. Evans , Levente Rózsa , Sarah Jenkins , Unai Atxitia

Monolayer CrSBr is a recently discovered semiconducting spin-3/2 ferromagnet with a Curie temperature around 146 K. Unlike many other known two-dimensional (2D) magnets, CrSBr has an orthorhombic lattice, giving rise, for instance, to…

Materials Science · Physics 2024-01-05 Alexander N. Rudenko , Malte Rösner , Mikhail I. Katsnelson

Magnetic anisotropy is crucially important for the stabilization of two-dimensional (2D) magnetism, which is rare in nature but highly desirable in spintronics and for advancing fundamental knowledge. Recent works on CrI$_3$ and CrGeTe$_3$…

Materials Science · Physics 2018-11-14 Changsong Xu , Junsheng Feng , Hongjun Xiang , L. Bellaiche
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