MonographDOI
Berry Phases in Electronic Structure Theory: Electric Polarization, Orbital Magnetization and Topological Insulators
Reads0
Chats0
TLDR
In this paper, a pedagogical introduction to the important role of Berry phases and curvatures in the physics of electrons in solids is provided, including electric polarization, anomalous Hall conductivity, and the nature of the topological insulating state.Abstract:
Over the past twenty-five years, mathematical concepts associated with geometric phases have come to occupy a central place in our modern understanding of the physics of electrons in solids. These 'Berry phases' describe the global phase acquired by a quantum state as the Hamiltonian is changed. Beginning at an elementary level, this book provides a pedagogical introduction to the important role of Berry phases and curvatures, and outlines their great influence upon many key properties of electrons in solids, including electric polarization, anomalous Hall conductivity, and the nature of the topological insulating state. It focuses on drawing connections between physical concepts and provides a solid framework for their integration, enabling researchers and students to explore and develop links to related fields. Computational examples and exercises throughout provide an added dimension to the book, giving readers the opportunity to explore the central concepts in a practical and engaging way.read more
Citations
More filters
Journal ArticleDOI
Negative flat band magnetism in a spin–orbit-coupled correlated kagome magnet
Jiaxin Yin,Songtian S. Zhang,Guoqing Chang,Qi Wang,Stepan S. Tsirkin,Zurab Guguchia,Zurab Guguchia,Biao Lian,Huibin Zhou,Huibin Zhou,Kun Jiang,Ilya Belopolski,Nana Shumiya,Daniel Multer,Maksim Litskevich,Tyler A. Cochran,Hsin Lin,Ziqiang Wang,Titus Neupert,Shuang Jia,Shuang Jia,Hechang Lei,M. Zahid Hasan,M. Zahid Hasan +23 more
TL;DR: In this paper, the authors used scanning tunnelling microscopy to elucidate the atomically resolved electronic states and their magnetic response in the kagome magnet Co3Sn2S2.
Journal ArticleDOI
Unconventional chiral charge order in kagome superconductor KV3Sb5.
Yu-Xiao Jiang,Jiaxin Yin,M. Michael Denner,Nana Shumiya,Brenden R. Ortiz,Gang Xu,Zurab Guguchia,Junyi He,Shafayat Hossain,Xiaoxiong Liu,Jacob Ruff,Linus Kautzsch,Songtian S. Zhang,Guoqing Chang,Ilya Belopolski,Qi Zhang,Tyler A. Cochran,Daniel Multer,Maksim Litskevich,Zijia Cheng,Xian P. Yang,Ziqiang Wang,Ronny Thomale,Titus Neupert,Stephen D. Wilson,M. Zahid Hasan +25 more
TL;DR: In this paper, the authors used high-resolution scanning tunnelling microscopy to discover an unconventional chiral charge order in a kagome material, KV3Sb5, with both a topological band structure and a superconducting ground state.
Journal ArticleDOI
Siesta: Recent developments and applications
Alberto García,Nick Rübner Papior,Arsalan Akhtar,Emilio Artacho,Volker Blum,Emanuele Bosoni,Pedro Brandimarte,Mads Brandbyge,Jorge Cerdá,Fabiano Corsetti,Ramón Cuadrado,Vladimir Dikan,Jaime Ferrer,Julian D. Gale,Pablo García-Fernández,Víctor M. García-Suárez,Sandra García,Georg Huhs,Sergio Illera,Richard Korytár,Peter Koval,Irina V. Lebedeva,Lin Lin,Pablo López-Tarifa,Sara G. Mayo,Stephan Mohr,Pablo Ordejón,Andrei Postnikov,Yann Pouillon,Miguel Pruneda,Roberto Robles,Daniel Sánchez-Portal,José M. Soler,Rafi Ullah,Victor Yu,Javier Junquera +35 more
TL;DR: The Siesta program as mentioned in this paper combines finite support pseudo-atomic orbitals as basis sets, norm-conserving pseudopotentials, and a real-space grid for the representation of charge density and potentials and the computation of their associated matrix elements.
Journal ArticleDOI
Higher-order non-Hermitian skin effect
TL;DR: In this paper, higher-order versions of the non-Hermitian skin effect have been discovered in two-dimensional systems with the system size L×L, where the conventional (first-order) skin effect accompanies O(L2) skin modes, while the second-order skin effect accompanied O (L) corner skin modes.
Journal ArticleDOI
SIESTA: recent developments and applications
Alberto García,Nick Rübner Papior,Arsalan Akhtar,Emilio Artacho,Volker Blum,Emanuele Bosoni,Pedro Brandimarte,Mads Brandbyge,Jorge Cerdá,Fabiano Corsetti,Ramón Cuadrado,Vladimir Dikan,Jaime Ferrer,Julian D. Gale,Pablo García-Fernández,Víctor M. García-Suárez,Sandra García,Georg Huhs,Sergio Illera,Richard Korytár,Peter Koval,Irina V. Lebedeva,Lin Lin,Pablo López-Tarifa,Sara G. Mayo,Stephan Mohr,Pablo Ordejón,Andrei Postnikov,Yann Pouillon,Miguel Pruneda,Roberto Robles,Daniel Sánchez-Portal,José M. Soler,Rafi Ullah,Victor Yu,Javier Junquera +35 more
TL;DR: The SIESTA program as discussed by the authors combines finite support pseudo-atomic orbitals as basis sets, norm-conserving pseudopotentials, and a real-space grid for the representation of charge density and potentials and the computation of their associated matrix elements.
References
More filters
Journal ArticleDOI
Self-Consistent Equations Including Exchange and Correlation Effects
Walter Kohn,L. J. Sham +1 more
TL;DR: In this paper, the Hartree and Hartree-Fock equations are applied to a uniform electron gas, where the exchange and correlation portions of the chemical potential of the gas are used as additional effective potentials.
Journal ArticleDOI
Inhomogeneous Electron Gas
P. C. Hohenberg,Walter Kohn +1 more
TL;DR: In this article, the ground state of an interacting electron gas in an external potential was investigated and it was proved that there exists a universal functional of the density, called F[n(mathrm{r})], independent of the potential of the electron gas.
Journal ArticleDOI
Colloquium: Topological insulators
M. Z. Hasan,Charles L. Kane +1 more
TL;DR: In this paper, the theoretical foundation for topological insulators and superconductors is reviewed and recent experiments are described in which the signatures of topologically insulators have been observed.
Book
Density-functional theory of atoms and molecules
TL;DR: In this paper, a review of current studies in density functional theory and density matrix functional theory is presented, with special attention to the possible applications within chemistry, including the concept of an atom in a molecule, calculation of electronegativities from the Xα method, pressure, Gibbs-Duhem equation, Maxwell relations and stability conditions.
Journal ArticleDOI
Topological insulators and superconductors
Xiao-Liang Qi,Shou-Cheng Zhang +1 more
TL;DR: Topological superconductors are new states of quantum matter which cannot be adiabatically connected to conventional insulators and semiconductors and are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time reversal symmetry.