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This chapter introduces a variety of spin glass models, beyond the simple Sherrington-Kirkpatrick (SK) version, that have led to enriched understanding and application.

Disordered Systems and Neural Networks · Physics 2022-08-19 David Sherrington , Jairo de Almeida

We construct the double copy of the chiral higher-spin theory. It is a Lorentz invariant theory with the little group spectrum given by the tensor square of the chiral higher-spin theory spectrum. Moreover, its interactions factorise in…

High Energy Physics - Theory · Physics 2025-02-07 Dmitry Ponomarev

Spin systems with hyperbolic symmetry originated as simplified models for the Anderson metal--insulator transition, and were subsequently found to exactly describe probabilistic models of linearly reinforced walks and random forests. In…

Probability · Mathematics 2024-07-11 Roland Bauerschmidt , Tyler Helmuth

Loop quantum gravity envisions a small scale structure of spacetime that is markedly different from that of the classical spacetime continuum. This has ramifications for the excitation of matter fields and for their coupling to gravity.…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Refik Mansuroglu , Hanno Sahlmann

This is a draft version of Part I of a three-part textbook on quantum field theory.

High Energy Physics - Theory · Physics 2007-05-23 Mark Srednicki

This is an introduction to the construction of higher-dimensional knots by spinning methods. Simple spinning of classical knots was introduced by E. Artin in 1926, and several generalizations have followed. These include twist spinning,…

Geometric Topology · Mathematics 2011-03-31 Greg Friedman

Spin squeezing provides crucial quantum resource for quantum metrology and quantum information science. Here we propose that one axis-twisted (OAT) spin squeezing can be generated from free evolution under a general coupled-spin model with…

Quantum Physics · Physics 2023-11-28 Yanzhen Wang , Xuanchen Zhang , Yong-Chun Liu

We review several proposed spintronic devices that can provide new functionality or improve available functions of electronic devices. In particular, we discuss a high mobility field effect spin transistor, an all-metal spin transistor, and…

Condensed Matter · Physics 2009-11-07 S. Das Sarma , Jaroslav Fabian , Xuedong Hu , Igor Zutic

For the technologically relevant spin Hall effect most theoretical approaches rely on the evaluation of the spin-conductivity tensor. In contrast, for most experimental configurations the generation of spin accumulation at interfaces and…

Spin transfer torques allow the electrical manipulation of the magnetization at room temperature, which is desirable in spintronic devices such as spin transfer torque memories. When combined with spin-orbit coupling, they give rise to…

Motivated by a recent experiment[Nature {\bf 442}, 176 (2006)], we present a quantitative microscopic theory to investigate the inverse spin-Hall effect with spin injection into aluminum considering both intrinsic and extrinsic spin-orbit…

Materials Science · Physics 2009-11-11 S. Y. Liu , Norman J. M. Horing , X. L. Lei

The plate trick or belt trick is a striking physical demonstration of properties of the double cover of the three-dimensional rotation group by the sphere of unit quaternions or spinors. The two ends of a flexible object are continuously…

Popular Physics · Physics 2021-07-06 Alexander E. Holroyd

Spin-rotation coupling, which is responsible for angular momentum conversion between the electron spin and rotational deformations of elastic media, is exploited for generating spin current. This method requires neither magnetic moments nor…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Mamoru Matsuo , Jun'ichi Ieda , Kazuya Harii , Eiji Saitoh , Sadamichi Maekawa

Lack of inversion symmetry at a metallic surface can lead to an observable spin-orbit interaction. For certain metal surfaces, such as the Au(111) surface, the experimentally observed spin-orbit coupling results in spin rotation lengths on…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Jamie D. Walls , Eric J. Heller

Given a countable set of sites and a collection of flip rates at each site, we give a sufficient condition on the long-range dependancies of the flip rates ensuring the well-definedness of the corresponding spin system. This hypothesis has…

Probability · Mathematics 2012-11-07 François Ezanno

We analyze the problem of spin decomposition for an interacting system from a natural perspective of constructing angular momentum eigenstates. We split, from the total angular momentum operator, a proper part which can be separately…

High Energy Physics - Phenomenology · Physics 2011-06-01 Xiang-Song Chen , Wei-Min Sun , Fan Wang , T. Goldman

A wheel or sphere rolling without slipping on the inside of a sphere in a uniform gravitational field can have stable circular orbits that lie wholly above the "equator", while a particle sliding freely cannot.

Classical Physics · Physics 2009-11-06 Kirk T. McDonald

We developed a path integral formalism for the quantum mechanics in a rotating reference of frame, and proposed a spin path integral description for the spin degrees of freedom in it. We have also give some examples for the applications of…

General Physics · Physics 2015-05-27 Tong Chern , Wu Ning , Yu Yue

A wheel that is capable of producing thrust and maintaining vehicle internal integrity is presented. The wheel can be seen as an organic extension to the central unit (eg the vehicle) it is attached to, that is, the system and the wheel can…

Robotics · Computer Science 2017-05-15 Juan-Pablo Afman , Mark Mote , Eric Feron

We consider classical spin systems evolving in continuous time with interactions given by a locally tree-like graph. Several approximate analysis methods have earlier been reported based on the idea of Belief Propagation / cavity method. We…

Statistical Mechanics · Physics 2023-04-19 Erik Aurell , David Machado Perez , Roberto Mulet
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