Colloquium : Topological band theory
Abstract
The first-principles band theory paradigm has been a key player not only in the process of discovering new classes of topologically interesting materials, but also for identifying salient characteristics of topological states, enabling direct and sharpened confrontation between theory and experiment. We begin this review by discussing underpinnings of the topological band theory, which basically involves a layer of analysis and interpretation for assessing topological properties of band structures beyond the standard band theory construct. Methods for evaluating topological invariants are delineated, including crystals without inversion symmetry and interacting systems. The extent to which theoretically predicted properties and protections of topological states have been verified experimentally is discussed, including work on topological crystalline insulators, disorder/interaction driven topological insulators (TIs), topological superconductors, Weyl semimetal phases, and topological phase transitions. Successful strategies for new materials discovery process are outlined. A comprehensive survey of currently predicted 2D and 3D topological materials is provided. This includes binary, ternary and quaternary compounds, transition metal and f-electron materials, Weyl and 3D Dirac semimetals, complex oxides, organometallics, skutterudites and antiperovskites. Also included is the emerging area of 2D atomically thin films beyond graphene of various elements and their alloys, functional thin films, multilayer systems, and ultra-thin filmsmore »
- Authors:
-
- Northeastern Univ., Boston, MA (United States)
- Northeastern Univ., Boston, MA (United States); National Univ. of Singapore (Singapore)
- National Univ. of Singapore (Singapore); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Energy Frontier Research Centers (EFRC) (United States). Center for the Computational Design of Functional Layered Materials (CCDM)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1371106
- Alternate Identifier(s):
- OSTI ID: 1259904
- Grant/Contract Number:
- SC0012575; FG02-07ER46352; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Reviews of Modern Physics
- Additional Journal Information:
- Journal Volume: 88; Journal Issue: 2; Related Information: CCDM partners with Temple University (lead); Brookhaven National Laboratory; Drexel University; Duke University; North Carolina State University; Northeastern University; Princeton University; Rice University; University of Pennsylvania; Journal ID: ISSN 0034-6861
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; catalysis (heterogeneous); solar (photovoltaic); energy storage (including batteries and capacitors); hydrogen and fuel cells; defects; mechanical behavior; materials and chemistry by design; synthesis (novel materials)
Citation Formats
Bansil, A., Lin, Hsin, and Das, Tanmoy. Colloquium : Topological band theory. United States: N. p., 2016.
Web. doi:10.1103/RevModPhys.88.021004.
Bansil, A., Lin, Hsin, & Das, Tanmoy. Colloquium : Topological band theory. United States. https://doi.org/10.1103/RevModPhys.88.021004
Bansil, A., Lin, Hsin, and Das, Tanmoy. Wed .
"Colloquium : Topological band theory". United States. https://doi.org/10.1103/RevModPhys.88.021004. https://www.osti.gov/servlets/purl/1371106.
@article{osti_1371106,
title = {Colloquium : Topological band theory},
author = {Bansil, A. and Lin, Hsin and Das, Tanmoy},
abstractNote = {The first-principles band theory paradigm has been a key player not only in the process of discovering new classes of topologically interesting materials, but also for identifying salient characteristics of topological states, enabling direct and sharpened confrontation between theory and experiment. We begin this review by discussing underpinnings of the topological band theory, which basically involves a layer of analysis and interpretation for assessing topological properties of band structures beyond the standard band theory construct. Methods for evaluating topological invariants are delineated, including crystals without inversion symmetry and interacting systems. The extent to which theoretically predicted properties and protections of topological states have been verified experimentally is discussed, including work on topological crystalline insulators, disorder/interaction driven topological insulators (TIs), topological superconductors, Weyl semimetal phases, and topological phase transitions. Successful strategies for new materials discovery process are outlined. A comprehensive survey of currently predicted 2D and 3D topological materials is provided. This includes binary, ternary and quaternary compounds, transition metal and f-electron materials, Weyl and 3D Dirac semimetals, complex oxides, organometallics, skutterudites and antiperovskites. Also included is the emerging area of 2D atomically thin films beyond graphene of various elements and their alloys, functional thin films, multilayer systems, and ultra-thin films of 3D TIs, all of which hold exciting promise of wide-ranging applications. We conclude by giving a perspective on research directions where further work will broadly benefit the topological materials field},
doi = {10.1103/RevModPhys.88.021004},
journal = {Reviews of Modern Physics},
number = 2,
volume = 88,
place = {United States},
year = {Wed Jun 29 00:00:00 EDT 2016},
month = {Wed Jun 29 00:00:00 EDT 2016}
}
Web of Science
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