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In magnetism, skyrmions correspond to classical three-dimensional spin textures characterized by a topological invariant that keeps track of the winding of the magnetization in real space, a property that cannot be easily generalized to the…

Strongly Correlated Electrons · Physics 2022-01-04 O. M. Sotnikov , V. V. Mazurenko , J. Colbois , F. Mila , M. I. Katsnelson , E. A. Stepanov

Starting from an algebraic approach of quantum physics it has been shown via the Tomita-Takesaki theorem and the KMS condition that the canonical density matrix contains the dynamics of the system provided we use a rescaling of time. In…

Statistical Mechanics · Physics 2009-02-06 J. P. Badiali

We develop a complete path-integral formulation of relativistic quantum fields in local thermal equilibrium, which brings about the emergence of thermally induced curved spacetime. The resulting action is shown to have full diffeomorphism…

High Energy Physics - Theory · Physics 2021-10-07 Masaru Hongo

Multiple-$Q$ magnetic orderings represent magnetic textures composed of superpositions of multiple spin density waves or spin spirals, as represented by skyrmion crystals and hedgehog lattices. Such magnetic orderings have been observed in…

Strongly Correlated Electrons · Physics 2022-05-18 Yasuyuki Kato , Yukitoshi Motome

Skyrmions are topological solitons that emerge in many physical contexts. In magnetism, they appear as textures of the spin-density field stabilized by different competing interactions and characterized by a topological charge that counts…

Mesoscale and Nanoscale Physics · Physics 2020-01-15 Hector Ochoa , Yaroslav Tserkovnyak

We derive thermomagnonic torque and its "$\beta$-type" dissipative correction from the stochastic Landau-Lifshitz-Gilbert equation. The "$\beta$-type" dissipative correction describes viscous coupling between magnetic dynamics and magnonic…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Alexey A. Kovalev

We study the dynamics of skyrmions in Dzyaloshinskii-Moriya materials with easy-axis anisotropy. An important link between topology and dynamics is established through the construction of unambiguous conservation laws obtained earlier in…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Stavros Komineas , Nikos Papanicolaou

The quantum thermal average plays a central role in describing the thermodynamic properties of a quantum system. Path integral molecular dynamics (PIMD) is a prevailing approach for computing quantum thermal averages by approximating the…

Numerical Analysis · Mathematics 2024-06-25 Xuda Ye , Zhennan Zhou

Magnetic skyrmions, as a whirling spin texture with axisymmetry, cannot be propelled by a uniform magnetic field. Therefore, reported skyrmion motions have been induced using other sorts of stimuli; typically, electric currents in magnetic…

Mesoscale and Nanoscale Physics · Physics 2022-10-18 Xiangjun Xing , Yan Zhou

The electronic transport experiments on topological insulators exhibit a dilemma. A negative cusp in magnetoconductivity is widely believed as a quantum transport signature of the topological surface states, which are immune from…

Mesoscale and Nanoscale Physics · Physics 2014-04-09 Hai-Zhou Lu , Shun-Qing Shen

Exploring a classical solution of the non-linear sigma model for a quantum Hall ferromagnet, a skyrmion-magnon effective hamiltonian is obtained via the collective coordinates method. Using the Feynman-Vernon functional integral formalism…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Villares Ferrer , A. O. Caldeira

The skyrmion number density, $q\equiv\vec{n}\cdot\left(\partial_x\vec{n}\times\partial_y\vec{n}\right)/(4\pi)$, is one of the key quantities that characterizes the topological properties of a magnetic skyrmion. In this work, we propose a…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Emir Syahreza Fadhilla , M Shoufie Ukhtary , Ardian Nata Atmaja , Bobby Eka Gunara

Extended numerical simulations enable to ascertain the diffusive behavior at finite temperatures of chiral walls and skyrmions in ultra-thin model Co layers exhibiting symmetric - Heisenberg - as well as antisymmetric -…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Jacques Miltat , Stanislas Rohart , André Thiaville

I consider skyrmionic states in non-centrosymmetric magnets near the ordering temperatures. I show that the interaction between the chiral skyrmions, being repulsive in a broad temperature range, changes into attraction at high…

Strongly Correlated Electrons · Physics 2016-11-25 Andriy O. Leonov

We present the theory of nonzero temperature ($T$) spin dynamics and transport in one-dimensional Heisenberg antiferromagnets with an energy gap $\Delta$. For $T << \Delta$, we develop a semiclassical picture of thermally excited particles.…

Strongly Correlated Electrons · Physics 2007-05-23 Kedar Damle , Subir Sachdev

The phenomenon of the finite-temperature induced quantum numbers in fermionic systems with topological defects is analyzed. We consider an ideal gas of twodimensional relativistic massive electrons in the background of a defect in the form…

High Energy Physics - Theory · Physics 2009-11-10 Yurii A. Sitenko , Volodymyr M. Gorkavenko

Entropic Dynamics is a framework in which quantum theory is derived as an application of entropic methods of inference. There is no underlying action principle. Instead, the dynamics is driven by entropy subject to the appropriate…

Quantum Physics · Physics 2015-06-23 Ariel Caticha , Daniel Bartolomeo , Marcel Reginatto

Magnetic skyrmions are particle-like objects with topologically-protected stability which can be set into motion with an applied current. Using a particle-based model we simulate current-driven magnetic skyrmions interacting with random…

Strongly Correlated Electrons · Physics 2017-08-09 Sebastian A. Diaz , C. J. O. Reichhardt , Daniel P. Arovas , Avadh Saxena , C. Reichhardt

We compute annihilation rates of metastable magnetic skyrmions using a form of Langer's theory in the intermediate-to-high damping (IHD) regime. For a N\'eel skyrmion, a Bloch skyrmion, and an antiskyrmion, we look at two possible paths to…

Mesoscale and Nanoscale Physics · Physics 2019-12-06 L. Desplat , D. Suess , J-V. Kim , R. L. Stamps

We develop a quantum theory of magnetic skyrmions and antiskyrmions in a spin-1/2 Heisenberg magnet with frustrating next-nearest neighbor interactions. Using exact diagonalization we show numerically that a quantum skyrmion exists as a…

Strongly Correlated Electrons · Physics 2020-01-01 Vivek Lohani , Ciarán Hickey , Jan Masell , Achim Rosch