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We theoretically study a ferrimagnetic domain-wall motion driven by a rotating magnetic field. We find that, depending on the magnitude and the frequency of the rotating field, the dynamics of a ferrimagnetic domain wall can be classified…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 Munsu Jin , Ik-Sun Hong , Duck-Ho Kim , Kyung-Jin Lee , Se Kwon Kim

A new class of domain wall fermions is defined that interpolates between Shamir's and Bori\c{c}i's form without increasing the number of Dirac applications per CG iteration. This class represents a full (real) M\"obius transformation of the…

High Energy Physics - Lattice · Physics 2011-04-11 Richard C. Brower , Hartmut Neff , Kostas Orginos

Domain shifts are critical issues that harm the performance of machine learning. Unsupervised Domain Adaptation (UDA) mitigates this issue but suffers when the domain shifts are steep and drastic. Gradual Domain Adaptation (GDA) alleviates…

Computer Vision and Pattern Recognition · Computer Science 2025-09-19 Zixi Wang , Xiangxu Zhao , Tonglan Xie , Mengmeng Jing , Lin Zuo

We apply strong-coupling perturbation theory to gauge theories containing domain-wall fermions in Shamir's surface version. We construct the effective Hamiltonian for the color-singlet degrees of freedom that constitute the low-lying…

High Energy Physics - Lattice · Physics 2009-10-31 Richard C. Brower , Benjamin Svetitsky

I review the lattice formulations of vector-like gauge theories (e.g. QCD) with domain-wall/overlap fermions, and discuss how to optimize the chiral symmetry for any finite $ N_s $ (sites in the fifth dimension). In this formulation, quark…

High Energy Physics - Lattice · Physics 2011-02-16 Ting-Wai Chiu

Using the Lagrangian formalism, we solve analytically the equations of motion for current-induced domain-wall dynamics in a ferromagnet with Rashba spin-orbit coupling. An exact solution for the domain wall velocity is provided, including…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Jacob Linder

Due to the difficulty in detecting and manipulating magnetic states of antiferromagnetic materials, studying their switching dynamics using electrical methods remains a challenging task. In this work, by employing heavy metal/rare…

Materials Science · Physics 2020-01-03 Saima A Siddiqui , Jiahao Han , Joseph T Finley , Caroline A Ross , Luqiao Liu

We present two improvements to our previous dynamical overlap HMC algorithm. We introduce a new method of differentiating the eigenvectors of the Kernel operator, which removes an instability in the fermionic force. Secondly, by simulating…

High Energy Physics - Lattice · Physics 2009-04-14 N. Cundy , S. Krieg , T. Lippert , A Schaefer

Domain-wall Fermions represent a recent lattice approach to chiral symmetry that is receiving considerable attention. The method is presented in a somewhat unconventional manner, in terms of a ladder molecule subjected to a magnetic field.…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Creutz

In this thesis, we consider fermion systems on square lattice spaces with a curved domain-wall mass term. In a similar way to the flat case, we find massless and chiral states localized at the wall. In the case of $S^1$ and $S^2$…

High Energy Physics - Lattice · Physics 2024-04-02 Shoto Aoki

The analysis of domain wall dynamics is often simplified to one dimensional physics. For domain walls in thin films, more realistic approaches require the description as two dimensional objects. This includes the study of vortices and…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Davi R. Rodrigues , Ar. Abanov , J. Sinova , K. Everschor-Sitte

Domain Wall Fermions utilize an extra space time dimension to provide a method for restoring the regularization induced chiral symmetry breaking in lattice vector gauge theories even at finite lattice spacing. The breaking is restored at an…

High Energy Physics - Lattice · Physics 2009-10-30 Pavlos M. Vranas

We perform a study the quark-gluon vertex function with a quenched Wilson gauge action and a variety of fermion actions. These include the domain wall fermion action (with exponentially accurate chiral symmetry) and the Wilson clover action…

High Energy Physics - Lattice · Physics 2009-11-11 Huey-Wen Lin

In conventional domain wall systems the aim of a high domain wall velocity may be hindered by the occurrence of a Walker breakdown at comparably low current density. We show how a Rashba interaction can stabilize the domain wall dynamics…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Martin Stier , Marcus Creutzburg , Michael Thorwart

We present preliminary results for the D_s meson spectroscopy study on the 2+1 flavour domain wall fermion lattice configurations, generated with the Iwasaki gauge action at beta=2.13 by the RBC-UKQCD collaboration. The simulations are on…

High Energy Physics - Lattice · Physics 2008-11-26 Chris Allton , Chris Maynard , Aurora Trivini , Robert Tweedie

We investigate the algorithms for dynamical overlap fermions aiming at improving the performance for large-scale simulations. We look for the best combination of Hybrid Monte Carlo options and iterative quark solvers with respect to the…

Two transparent layers are introduced at the boundaries of the fifth dimension for the optimal domain-wall fermions. For the quark fields defined in terms of these two transparent layers, they obey the usual chiral projection rule in the…

High Energy Physics - Lattice · Physics 2012-09-14 Ting-Wai Chiu

Magnetic domain wall motion has recently garnered significant interest as a physical mechanism to enable energy-efficient, next-generation brain-inspired computing architectures. However, realizing all behaviors required for neuromorphic…

Materials Science · Physics 2025-08-21 Jeffrey A. Brock , Aleksandr Kurenkov , Aleš Hrabec , Laura J. Heyderman

Due to the attractive features that domain wall fermions possess with respect to chiral symmetry, we continue our investigation of the light quark masses with this discretization. Achieving reliable results, especially for $(m_u + m_d)/2$,…

High Energy Physics - Lattice · Physics 2015-06-25 Matthew Wingate

We theoretically study the current-induced dynamics of a transverse magnetic domain wall in bi-layer nanowires consisting of a ferromagnet on top of a nonmagnet having strong spin-orbit coupling. Domain wall dynamics is characterized by two…

Mesoscale and Nanoscale Physics · Physics 2012-07-18 Soo-Man Seo , Kyoung-Whan Kim , Jisu Ryu , Hyun-Woo Lee , Kyung-Jin Lee