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We consider two-dimensional Hamiltonians on a torus with finite range, finite strength interactions and a unique ground state with a non-vanishing spectral gap, and a conserved local charge, as defined precisely in the text. Using the local…

数学物理 · 物理学 2009-11-25 Matthew B. Hastings , Spyridon Michalakis

Using a formalism based on the non-Abelian Berry connection, we explore quantum geometric signatures of Wannier-Stark spectra in two-dimensional superlattices. The Stark energy can be written as \textit{intraband} Berry phases, while Zener…

介观与纳米尺度物理 · 物理学 2025-05-23 Vo Tien Phong , Francisco Guinea , Cyprian Lewandowski

Berry phase physics is closely related to a number of topological states of matter. Recently discovered topological semimetals are believed to host a nontrivial $\pi$ Berry phase to induce a phase shift of $\pm 1/8$ in the quantum…

介观与纳米尺度物理 · 物理学 2016-08-17 C. M. Wang , Hai-Zhou Lu , Shun-Qing Shen

The phases of A$_2$Mn$_8$O$_{16}$ hollandite group oxides emerge from the competition between ionic interactions, Jahn-Teller effects, charge ordering, and magnetic interactions. Their balanced treatment with feasible computational…

材料科学 · 物理学 2017-12-06 Merzuk Kaltak , Marivi Fernandez-Serra , Mark S Hybertsen

Electronic band structures dictate the mechanical, optical and electrical properties of crystalline solids. Their experimental determination is therefore of crucial importance for technological applications. While the spectral distribution…

介观与纳米尺度物理 · 物理学 2019-10-02 C. Dutreix , H. González-Herrero , I. Brihuega , M. I. Katsnelson , C. Chapelier , V. T. Renard

Comparative studies of magnetoelectric susceptibility ($\alpha$), magnetization ($M$), and magnetostriction ($u$) in TbMn$_{2}$O$_{5}$ reveal that the increment of $M$ owing to the field-induced Tb$^{3+}$ spin alignment coins a…

The electrical Hall effect is the production of a transverse voltage under an out-of-plane magnetic field. Historically, studies of the Hall effect have led to major breakthroughs including the discoveries of Berry curvature and the…

We demonstrate that Berry phases may greatly affect the dynamics of spin-orbit coupled Bose-Einstein condensates. The effective model Hamiltonian under consideration is shown to be equivalent to the Exe Jahn-Teller model first introduced in…

量子物理 · 物理学 2015-05-13 Jonas Larson , Erik Sjoqvist

We propose a method for analyzing Berry phase for a multi-qubit system of superconducting charge qubits interacting with a microwave field. By suitably choosing the system parameters and precisely controlling the dynamics, novel connection…

量子物理 · 物理学 2015-05-13 Mahmoud Abdel-Aty

Rational design of artificial lattices yields effects unavailable in simple solids, and vertical superlattices of multilayer semiconductors are already used in optical sensors and emitters. Manufacturing lateral superlattices remains a much…

We have observed the quantum Hall effect (QHE) and Shubnikov-de Haas (SdH) oscillations in highly disordered graphene at magnetic fields up to 65 T. Disorder was introduced by hydrogenation of graphene up to a ratio H/C $\approx 0.1\%$. The…

The topological properties of a material's electronic structure are encoded in its Berry curvature, a quantity which is intimately related to the transverse electrical conductivity. In transition metal dichalcogenides with broken inversion…

介观与纳米尺度物理 · 物理学 2020-10-21 Fei Xue , V. P. Amin , P. M. Haney

In our work, we study the dynamics of a graphene Corbino disk supported by a gold mechanical resonator in the presence of a magnetic field. We demonstrate here that our graphene/gold mechanical structure exhibits a nontrivial resonance…

介观与纳米尺度物理 · 物理学 2023-01-04 Juuso Manninen , Antti Laitinen , Francesco Massel , Pertti Hakonen

y formally diagonalizing with accuracy $\hbar$ the Hamiltonian of electrons in a crystal subject to electromagnetic perturbations, we resolve the debate on the Hamiltonian nature of semiclassical equations of motion with Berry-phase…

其他凝聚态物理 · 物理学 2016-08-16 Pierre Gosselin , Fehrat Ménas , Alain Bérard , Hervé Mohrbach

We show that the new quantum oscillations of the magnetization can occur when the Fermi surface consists of points (massless Dirac points) or even when the chemical potential is in a energy gap by studying the tight-binding electrons on a…

材料科学 · 物理学 2014-08-28 Keita Kishigi , Yasumasa Hasegawa

Cr$_2$Te$_3$ is a ferromagnetic, quasi-two-dimensional layered material with perpendicular magnetic anisotropy, strong spin-orbit coupling, and non-trivial band topology. The non-trivial topology results in an intrinsic anomalous Hall…

材料科学 · 物理学 2024-04-04 Sohee Kwon , Yuhang Liu , Hang Chi , Gen Yin , Mahesh R. Neupane , Roger K. Lake

Magnetotransport such as the giant magnetoresistance and Hall effect lies at the heart of fundamental physics and technologies. Recently, some experiments have clearly demonstrated linear magnetotransport (LMT) proportional to magnetic…

介观与纳米尺度物理 · 物理学 2022-07-28 Zetao Zhang , Yizhou Liu , Wenhui Duan

The Berry phase acquired by an electromagnetic field undergoing an adiabatic and cyclic evolution in phase space is a purely quantum-mechanical effect of the field. However, this phase is usually accompanied by a dynamical contribution and…

量子物理 · 物理学 2012-03-05 Shi-Biao Zheng

Neutron stars are ideal astrophysical laboratories for testing theories of the de Haas-van Alphen (dHvA) effect and diamagnetic phase transition which is associated with magnetic domain formation. The "magnetic interaction" between…

太阳与恒星天体物理 · 物理学 2016-06-01 Zhaojun Wang , Guoliang Lu , Chunhua Zhu , Baoshan Wu

A systematic study of the energetics of electrons in an interface in a magnetic field is reported with exact analytical calculations based on a Landau Level (LL) picture, by serious consideration of the finite thickness of the Quantum Well…

介观与纳米尺度物理 · 物理学 2013-05-29 Georgios Konstantinou , Konstantinos Moulopoulos