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Using Hubbard-Stratonovich transformation and drone-fermion representations for spin-1/2 and for spin-3/2, which is presented for the first time, we make a path-integral formulation of the Kondo lattice model. In the case of weak coupling…

Strongly Correlated Electrons · Physics 2016-08-31 Sze-Shiang Feng , Mogus Mochena

An effective Ising model for the spin-ice type Kondo lattice model is investigated by the classical Monte Carlo simulation. We clarify the magnetic phase diagram with four phases: ice-ferro, ice-(0,0,2\pi), 32-sublattice, and all-in/all-out…

Strongly Correlated Electrons · Physics 2014-08-29 Hiroaki Ishizuka , Masafumi Udagawa , Yukitoshi Motome

This paper presents a systematic study of the application of convolutional neural networks (CNNs) as an efficient and versatile tool for the analysis of critical and low-temperature phase states in spin system models. The problem of…

Computational Physics · Physics 2025-12-09 Dmitrii Kapitan , Pavel Ovchinnikov , Konstantin Soldatov , Petr Andriushchenko , Vitalii Kapitan

We propose a self-consistent approximate solution of the disordered Kondo-lattice model (KLM) to get the interconnected electronic and magnetic properties of 'local-moment' systems like diluted ferromagnetic semiconductors. Aiming at…

Materials Science · Physics 2009-11-13 V. Bryksa , W. Nolting

The diluted Kondo lattice model is investigated at strong antiferromagnetic local exchange couplings J, where almost local Kondo clouds drastically restrict the motion of conduction electrons, giving rise to the possibility of quantum…

Quantum Gases · Physics 2015-01-06 Andrej Schwabe , Mirek Hänsel , Michael Potthoff

We add the magnetic degrees of freedom to the widely used Gaussian Approximation Potential of machine learning (ML) and present a model that describes the potential energy surface of a crystal based on the atomic coordinates as well as…

Materials Science · Physics 2026-04-13 Yuqiang Gao , Menno Bokdam , Paul J. Kelly

We demonstrate machine-learning enabled large-scale dynamical simulations of electronic phase separation in double-exchange system. This model, also known as the ferromagnetic Kondo lattice model, is believed to be relevant for the colossal…

Strongly Correlated Electrons · Physics 2020-06-09 Puhan Zhang , Preetha Saha , Gia-Wei Chern

Low-temperature magnetic properties of the one-dimensional Kondo-lattice model with classical localized spins are investigated by means of a Monte Carlo simulation combined with an exact diagonalization technique. Comparative simulations…

Strongly Correlated Electrons · Physics 2015-06-22 Sorato Minami , Hikaru Kawamura

We present an new approach for the ferromagnetic, three-dimensional, translational-symmetric Kondo lattice model which allows us to derive both magnon energies and linewidths (lifetimes) and to study the properties of the ferromagnetic…

Strongly Correlated Electrons · Physics 2009-12-14 A. Schwabe , W. Nolting

The ferromagnetic spin exchange interaction between the itinerant electrons and localized moments on a periodic lattice, studied within the so-called Kondo lattice model (KLM), is considered for multiband situation where the hopping…

Strongly Correlated Electrons · Physics 2008-08-07 A. Sharma , W. Nolting

Multiple-$Q$ magnetic states, such as a skyrmion crystal, become a source of unusual transport phenomena and dynamics. Recent theoretical and experimental studies clarify that such multiple-$Q$ states ubiquitously appear under different…

Strongly Correlated Electrons · Physics 2022-12-05 Ryota Yambe , Satoru Hayami

The Kondo lattice model (KLM) is a typical model describing heavy fermion systems. In this paper, we consider the interaction of phonons with the system described by the one-electron KLM. Magnetic properties of the ground state of this…

Mathematical Physics · Physics 2022-12-21 Tadahiro Miyao , Kazuhiro Nishimata , Hayato Tominaga

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

Metallic spin glass systems, such as dilute magnetic alloys, are characterized by randomly distributed local moments coupled to each other through a long-range electron-mediated effective interaction. We present a scalable machine learning…

Disordered Systems and Neural Networks · Physics 2023-11-29 Menglin Shi , Sheng Zhang , Gia-Wei Chern

Fourth-order strong-coupling degenerate perturbation theory is used to derive an effective low-energy Hamiltonian for the Kondo-lattice model with a depleted system of localized spins. In the strong-J limit, completely local Kondo singlets…

Strongly Correlated Electrons · Physics 2015-02-26 Irakli Titvinidze , Andrej Schwabe , Michael Potthoff

By utilizing a multi-orbital periodic Anderson model with parameters obtained from \textit{ab initio} band structure calculations, combined with degenerate perturbation theory, we derive effective Kondo-Heisenberg and spin Hamiltonians that…

We study the site-diluted double exchange (DE) model and its effective Ruderman-Kittel-Kasuya-Yosida-like interactions, where localized spins are randomly distributed, with the use of the Self-learning Monte Carlo (SLMC) method. The SLMC…

Disordered Systems and Neural Networks · Physics 2021-02-22 Hidehiko Kohshiro , Yuki Nagai

We present a systematic derivation of effective lattice spin Hamiltonians derived from a rotationally invariant multi-orbital Hubbard model including a term ensuring Hund's rule coupling. The Hamiltonians are derived down-folding the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Markus Hoffmann , Stefan Blügel

We study spin-1/2 fermions in spin dependent potentials under the \emph{spin model approximation}, in which interatomic collisions that change the total occupation of single-particle modes are ignored. The spin model approximation maps the…

Quantum Gases · Physics 2020-09-02 Michael L. Wall

The effective spin Hamiltonian method is widely adopted to simulate and understand the behavior of magnetism. However, the magnetic interactions of some systems, such as itinerant magnets, are too complex to be described by any explicit…

Materials Science · Physics 2022-05-20 Hongyu Yu , Changsong Xu , Feng Lou , L. Bellaiche , Zhenpeng Hu , Xingao Gong , Hongjun Xiang
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