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We report an efficient numerical approach to compute the different components of the orbital Hall responses in disordered topological materials from the Berry phase theory of magnetization. The theoretical framework is based on the…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Luis M. Canonico , Jose H. García , Stephan Roche

We derive a multi-band formulation of the orbital magnetization in a normal periodic insulator (i.e., one in which the Chern invariant, or in 2d the Chern number, vanishes). Following the approach used recently to develop the single-band…

Materials Science · Physics 2009-11-11 Davide Ceresoli , T. Thonhauser , David Vanderbilt , R. Resta

In the real space formalism of orbital magnetization (OM) for a Chern insulator without an external electric field, it is correct to average the local OM either over the bulk region or over the whole sample. However for a layered Chern…

Mesoscale and Nanoscale Physics · Physics 2023-04-17 Si-Si Wang , Yi-Ming Dai , Hui-Hui Wang , Hao-Can Chen , Biao Zhang , Yan-Yang Zhang

We present a general formula of the orbital magnetization of disordered systems based on the Keldysh Green's function theory in the gauge-covariant Wigner space. In our approach, the gauge invariance of physical quantities is ensured from…

Strongly Correlated Electrons · Physics 2015-06-03 Guobao Zhu , Shengyuan A. Yang , Cheng Fang , W. M. Liu , Yugui Yao

We present a real-space spectral method for computing the orbital magnetization of crystals. Starting from the commutator form of the orbital magnetization operator, we formulate an energy-resolved spectral function that is amenable to…

Electrons in moir\'e flat band systems can spontaneously break time reversal symmetry, giving rise to a quantized anomalous Hall effect. Here we use a superconducting quantum interference device to image stray magnetic fields in one such…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 C. L. Tschirhart , M. Serlin , H. Polshyn , A. Shragai , Z. Xia , J. Zhu , Y. Zhang , K. Watanabe , T. Taniguchi , M. E. Huber , A. F. Young

We present a microscopic theory for the local (single site) orbital magnetization in tight-binding systems. Each occupied state of energy $\varepsilon_n$ contributes with a local orbital magnetic moment term ${\mathbf{ m}}_n({\mathbf{ r}})$…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Sariah Al Saati , Karyn Le Hur , Frédéric Piéchon

We present a first-principles scheme that allows the orbital magnetization of a magnetic crystal to be evaluated accurately and efficiently even in the presence of complex Fermi surfaces. Starting from an initial electronic-structure…

Materials Science · Physics 2012-02-03 M. G. Lopez , David Vanderbilt , T. Thonhauser , Ivo Souza

Orbital magnetization (OM) in Sierpinski carpet (SC) and triangle (ST) fractal is theoretically investigated by using Haldane model as a prototypical example. The OM calculation is performed following two distinct approaches; employing the…

Materials Science · Physics 2026-03-30 L. L. Lage , Tarik. P. Cysne , A. Latgé

Motivated by recent experiments on vanadium spinels, $A$V$_2$O$_4$, that show an increasing degree of electronic delocalization for smaller cation sizes, we study the evolution of orbital ordering (OO) between the strong and…

Strongly Correlated Electrons · Physics 2012-08-13 Yasuyuki Kato , Gia-Wei Chern , K. A. Al-Hassanieh , Natalia B. Perkins , C. D. Batista

We study the effect of quenched disorder on the ordering of orbital and magnetic degrees of freedom in a two-dimensional, two-band double-exchange model for $e_g$ electrons coupled to Jahn-Teller distortions. Using a real-space Monte Carlo…

Strongly Correlated Electrons · Physics 2008-05-23 Sanjeev Kumar , Arno P. Kampf

We address the importance of the modern theory of orbital magnetization for spintronics. Based on an all-electron first-principles approach, we demonstrate that the predictive power of the routinely employed "atom-centered" approximation is…

Within a relativistic quantum formalism we examine the role of second-order corrections caused by the application of magnetic fields in two-dimensional topological and Chern insulators. This allows to reach analytical expressions for the…

Mesoscale and Nanoscale Physics · Physics 2021-11-01 Daniel Faílde , Daniel Baldomir

We develop a theory of Berry phase effect in anomalous transport in ferromagnets driven by statistical forces such as the gradient of temperature or chemical potential. Here a charge Hall current arises from the Berry phase correction to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Di Xiao , Yugui Yao , Zhong Fang , Qian Niu

We study an unique form of metallic ferromagnetism in which orbital moments surpasses the role of spin moments in shaping the overall magnetization. This system emerges naturally upon doping a topologically non-trivial Chern band in the…

Mesoscale and Nanoscale Physics · Physics 2024-02-27 Mainak Das , Chunli Huang

Charge carriers in magic angle graphene come in eight flavors described by a combination of their spin, valley, and sublattice polarizations. When the inversion and time reversal symmetries are broken by the substrate or by strong…

The $\alpha$-$T_3$ system undergoes a topological phase transition(TPT) between two distinct quantum spin-Hall phases across $\alpha=0.5$ when the spin-orbit interaction of Kane-Mele type is taken into consideration. As a hallmark of such a…

Mesoscale and Nanoscale Physics · Physics 2024-10-28 Lakpa Tamang , Sonu Verma , Tutul Biswas

We consider periodic adiabatic processes of gapped many-body spinless electrons. We find an additional contribution to the orbital magnetization due to the adiabatic time evolution, dubbed \textit{geometric} orbital magnetization, which can…

Mesoscale and Nanoscale Physics · Physics 2019-08-12 Luka Trifunovic , Seishiro Ono , Haruki Watanabe

We present an in-depth analysis of the orbital magnetism by means of the so-called modern theory based on the Berry phase across distinct classes of materials-d transition metals, sp metals, and transition metal dichalcogenides-highlighting…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Hojun Lee , Insu Baek , Mirco Sastges , Yuriy Mokrousov , Hyun-Woo Lee , Dongwook Go

Magnetism typically arises from the joint effect of Fermi statistics and repulsive Coulomb interactions, which favors ground states with non-zero electron spin. As a result, controlling spin magnetism with electric fields---a longstanding…

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