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We propose a simple scheme for tomography of band-insulating states in one- and two-dimensional optical lattices with two sublattice states. In particular, the scheme maps out the Berry curvature in the entire Brillouin zone and extracts…

Quantum Gases · Physics 2014-07-29 Philipp Hauke , Maciej Lewenstein , André Eckardt

We study a two dimensional, two-band double-exchange model for $e_g$ electrons coupled to Jahn-Teller distortions in the presence of quenched disorder using a recently developed Monte-Carlo technique. In the absence of disorder the…

Strongly Correlated Electrons · Physics 2008-01-29 Sanjeev Kumar , Arno P. Kampf , Pinaki Majumdar

We show that the orbital magneto-electric effect (OME) -- the generation of a steady-state orbital angular momentum density -- is partly the result of a nonequilibrium dipole moment generated via Zitterbewegung and proportional to the…

Mesoscale and Nanoscale Physics · Physics 2025-05-14 James H. Cullen , Daniel P. Arovas , Roberto Raimondi , Dimitrie Culcer

We study the topological phase in dipolar-coupled two-dimensional breathing square lattice of magnetic vortices. By evaluating the quantized Chern number and $\mathbb{Z}_{4}$ Berry phase, we obtain the phase diagram and identify that the…

Mesoscale and Nanoscale Physics · Physics 2020-05-14 Z. -X. Li , Yunshan Cao , X. R. Wang , Peng Yan

Although much effort has been made to explore quantum anomalous Hall effect (QAHE) in both theory and experiment, the QAHE systems with tunable Chern numbers are yet limited. Here, we theoretically propose that NiAsO$_3$ and PdSbO$_3$,…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 Zeyu Li , Yulei Han , Zhenhua Qiao

Recent observations of quantum anomalous Hall effects in moir\'e systems have revealed the emergence of interaction-driven ferromagnetism with significant orbital contributions. To capture this physics, we extend the modern theory of…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Xiaoyu Liu , Chong Wang , Haoran Chen , Xiao-Wei Zhang , Ting Cao , Di Xiao

We show that the chiral multifold fermions present a dual Haldane sphere problem in momentum space. Owing to the Berry monopole at the degenerate point, a dual Landau level emerges in the trace of quantum metric, with which a quantized…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Yu-Ping Lin , Wei-Han Hsiao

In this letter we study the Haldane model with on-site repulsive interactions at half-filling. We show that the mean-field Hamiltonian with magnetic order effectively modifies parameters in the Haldane Hamiltonian, such as sublattice energy…

Quantum Gases · Physics 2015-11-10 Wei Zheng , Huitao Shen , Zhong Wang , Hui Zhai

The physics underlying the magnetization process of quantum antiferromagnets is revisited from the viewpoint of geometric phases. A continuum variant of the Lieb-Schultz-Mattis-type approach to the problem is put forth, where the…

Statistical Mechanics · Physics 2009-05-14 Akihiro Tanaka , Keisuke Totsuka , Xiao Hu

Inter-band effects of magnetic field on orbital magnetic susceptibility and Hall effect in weak magnetic field have been studied theoretically at absolute zero for the model of massless Fermions in two dimension described by Weyl equation…

Strongly Correlated Electrons · Physics 2009-11-13 H. Fukuyama

We investigate the effect of the Berry phase on quadrupoles that occur for example in the low-energy description of spin models. Specifically we study here the one-dimensional bilinear-biquadratic spin-one model. An open question for many…

Strongly Correlated Electrons · Physics 2014-07-15 Shijie Hu , Ari M. Turner , Karlo Penc , Frank Pollmann

Quantum field theory predicts Weyl semimetals to possess a peculiar response of the longitudinal current density to the application of a DC magnetic field. Such a response function has been shown to be at odds with a general result showing…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Yahya Alavirad , Jay D. Sau

The theory of bulk orbital magnetization has been formulated both in reciprocal space based on Berry curvature and related quantities, and in real space in terms of the spatial average of a quantum mechanical local marker. Here we consider…

Mesoscale and Nanoscale Physics · Physics 2023-03-15 Daniel Seleznev , David Vanderbilt

Motivated by recent experimental demonstrations of Floquet topological insulators, there have been several theoretical proposals for using structured light, either spatial or spectral, to create other properties such as flat band and vortex…

Mesoscale and Nanoscale Physics · Physics 2024-12-02 Iman Ahmadabadi , Hossein Dehghani , Mohammad Hafezi

Rhombohedral multilayer graphene (RMG) proximity-coupled to a Haldane substrate provides a platform to investigate the interplay between band topology, layer number, and electric-field control of orbital magnetism. Using a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Sovan Ghosh , Bheema Lingam Chittari

We show that the position-momentum duality offers a transparent interpretation of the band geometry at the topological band crossings. Under this duality, the band geometry with Berry connection is dual to the free-electron motion under…

Mesoscale and Nanoscale Physics · Physics 2022-02-21 Yu-Ping Lin , Wei-Han Hsiao

We describe an ab initio theory of finite temperature magnetism in strongly-correlated electron systems. The formalism is based on spin density functional theory, with a self-interaction corrected local spin density approximation…

Strongly Correlated Electrons · Physics 2009-11-13 I. D. Hughes , M. Daene , A. Ernst , W. Hergert , M. Lueders , J. B. Staunton , Z. Szotek , W. M. Temmerman

The orbital magnetization and its effects on the two-dimensional kagom\'{e} lattice with spin anisotropies included in the general Hund's coupling region have been theoretically studied. The results show that the strength of the Hund's…

Mesoscale and Nanoscale Physics · Physics 2008-01-22 Zhigang Wang , Ping Zhang

In this paper, we study periodically modulated $s=1/2$ spin chain in a linear gradient potential (LP) that is generated by an external magnetic field. In the absence of the LP, the system has topological states that exhibit a magnetization…

Strongly Correlated Electrons · Physics 2019-12-11 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

The orbital effect on the Fulde-Ferrell (FF) phase is investigated in superconducting core/shell nanowires subjected to the axial magnetic field. The confinement in the radial direction results in the quantization of the electron motion…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 M. Mika , P. Wójcik