skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Theory of spin Bott index for quantum spin Hall states in nonperiodic systems

Abstract

Not provided.

Authors:
;
Publication Date:
Research Org.:
Univ. of Utah, Salt Lake City, UT (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1540979
DOE Contract Number:  
FG02-04ER46148
Resource Type:
Journal Article
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 98; Journal Issue: 12; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
Materials Science; Physics

Citation Formats

Huang, Huaqing, and Liu, Feng. Theory of spin Bott index for quantum spin Hall states in nonperiodic systems. United States: N. p., 2018. Web. doi:10.1103/physrevb.98.125130.
Huang, Huaqing, & Liu, Feng. Theory of spin Bott index for quantum spin Hall states in nonperiodic systems. United States. doi:10.1103/physrevb.98.125130.
Huang, Huaqing, and Liu, Feng. Sat . "Theory of spin Bott index for quantum spin Hall states in nonperiodic systems". United States. doi:10.1103/physrevb.98.125130.
@article{osti_1540979,
title = {Theory of spin Bott index for quantum spin Hall states in nonperiodic systems},
author = {Huang, Huaqing and Liu, Feng},
abstractNote = {Not provided.},
doi = {10.1103/physrevb.98.125130},
journal = {Physical Review B},
issn = {2469-9950},
number = 12,
volume = 98,
place = {United States},
year = {2018},
month = {9}
}

Works referenced in this record:

Z2 Topological Order and the Quantum Spin Hall Effect
journal, September 2005


Quantum Spin Hall Effect in Graphene
journal, November 2005


Topological insulators with inversion symmetry
journal, July 2007


Time reversal polarization and a Z 2 adiabatic spin pump
journal, November 2006


Quantum Spin Hall Effect in Three Dimensional Materials: Lattice Computation of Z 2 Topological Invariants and Its Application to Bi and Sb
journal, May 2007

  • Fukui, Takahiro; Hatsugai, Yasuhiro
  • Journal of the Physical Society of Japan, Vol. 76, Issue 5
  • DOI: 10.1143/JPSJ.76.053702

Computing topological invariants without inversion symmetry
journal, June 2011


Equivalent expression of Z 2 topological invariant for band insulators using the non-Abelian Berry connection
journal, August 2011


Quantum Spin-Hall Effect and Topologically Invariant Chern Numbers
journal, July 2006


Topological aspects of the quantum spin-Hall effect in graphene: Z 2 topological order and spin Chern number
journal, March 2007


Robustness of the spin-Chern number
journal, September 2009


Topological insulators beyond the Brillouin zone via Chern parity
journal, October 2007


Manifestly gauge-independent formulations of the Z 2 invariants
journal, June 2011


Scattering formula for the topological quantum number of a disordered multimode wire
journal, April 2011


Scattering theory of topological insulators and superconductors
journal, April 2012


Z 2 phase diagram of three-dimensional disordered topological insulators via a scattering matrix approach
journal, April 2014


Determining topological order from a local ground-state correlation function
journal, June 2011


Disordered topological insulators via C * -algebras
journal, December 2010


Topological insulators and C∗-algebras: Theory and numerical practice
journal, July 2011


Quantitative K-Theory Related to Spin Chern Numbers
journal, July 2014


Classification of topological insulators and superconductors in three spatial dimensions
journal, November 2008


Periodic table for topological insulators and superconductors
conference, January 2009

  • Kitaev, Alexei; Lebedev, Vladimir; Feigel’man, Mikhail
  • ADVANCES IN THEORETICAL PHYSICS: Landau Memorial Conference, AIP Conference Proceedings
  • DOI: 10.1063/1.3149495

Topological insulators and superconductors: tenfold way and dimensional hierarchy
journal, June 2010


<mml:math altimg="si131.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>K</mml:mi></mml:math>-theory and pseudospectra for topological insulators
journal, May 2015


Non-commutative tools for topological insulators
journal, June 2010


Disordered topological insulators: a non-commutative geometry perspective
journal, February 2011


The noncommutative geometry of the quantum Hall effect
journal, October 1994

  • Bellissard, J.; van Elst, A.; Schulz‐ Baldes, H.
  • Journal of Mathematical Physics, Vol. 35, Issue 10
  • DOI: 10.1063/1.530758

Almost commuting matrices, localized Wannier functions, and the quantum Hall effect
journal, January 2010

  • Hastings, Matthew B.; Loring, Terry A.
  • Journal of Mathematical Physics, Vol. 51, Issue 1
  • DOI: 10.1063/1.3274817

Invariants of almost commuting unitaries
journal, February 1991


Topological Insulators in Amorphous Systems
journal, June 2017


Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
journal, February 2016

  • Bandres, Miguel A.; Rechtsman, Mikael C.; Segev, Mordechai
  • Physical Review X, Vol. 6, Issue 1
  • DOI: 10.1103/PhysRevX.6.011016

The ℤ 2 index of disordered topological insulators with time reversal symmetry
journal, February 2016

  • Katsura, Hosho; Koma, Tohru
  • Journal of Mathematical Physics, Vol. 57, Issue 2
  • DOI: 10.1063/1.4942494

The noncommutative index theorem and the periodic table for disordered topological insulators and superconductors
journal, March 2018

  • Katsura, Hosho; Koma, Tohru
  • Journal of Mathematical Physics, Vol. 59, Issue 3
  • DOI: 10.1063/1.5026964

Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"
journal, October 1988


Insulator/Chern-insulator transition in the Haldane model
journal, December 2006


Maximally localized generalized Wannier functions for composite energy bands
journal, November 1997


The topological Anderson insulator phase in the Kane-Mele model
journal, April 2016

  • Orth, Christoph P.; Sekera, Tibor; Bruder, Christoph
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep24007

Topological Anderson Insulator
journal, April 2009


Theory of the Topological Anderson Insulator
journal, November 2009


Topological Anderson insulator phenomena
journal, July 2011


Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
journal, September 2018


Topological Hofstadter insulators in a two-dimensional quasicrystal
journal, February 2015


Aperiodic Weak Topological Superconductors
journal, June 2016


Eigenstates in 2-Dimensional Penrose Tiling
journal, May 1986

  • Tsunetsugu, Hirokazu; Fujiwara, Takeo; Ueda, Kazuo
  • Journal of the Physical Society of Japan, Vol. 55, Issue 5
  • DOI: 10.1143/JPSJ.55.1420

Penrose tiling approximants
journal, January 1988


Electronic properties of the Penrose lattice. I. Energy spectrum and wave functions
journal, April 1991


Electronic properties of two-dimensional quasicrystals with near-neighbor interactions
journal, January 1991


Electronic and vibrational modes on a Penrose lattice: Localized states and band structure
journal, September 1986


Inflation rules, band structure, and localization of electronic states in a two-dimensional Penrose lattice
journal, May 1989


Localized states and self-similar states of electrons on a two-dimensional Penrose lattice
journal, February 1988


Strictly localized states on a two-dimensional Penrose lattice
journal, July 1988


Identification of spatially confined states in two-dimensional quasiperiodic lattices
journal, June 1995


Self-similar ground-state wave function for electrons on a two-dimensional Penrose lattice
journal, September 1986


Electronic States on a Penrose Lattice
journal, June 1986


Density of states for a two-dimensional Penrose lattice: Evidence of a strong Van-Hove singularity
journal, December 1985


Electronic structure of a two-dimensional Penrose lattice: Single- and two-component systems
journal, November 1987

  • Aguilera-Granja, F.; Mej̆a-Lira, F.; Morán-López, J. L.
  • Physical Review B, Vol. 36, Issue 14
  • DOI: 10.1103/PhysRevB.36.7342

Exact eigenstates on a two-dimensional Penrose lattice and their fractal dimensions
journal, September 1988


Penrose structures: Gap labeling and geometry
journal, September 2002


Gap structures and wave functions of classical waves in large-sized two-dimensional quasiperiodic structures
journal, August 2006


Two-dimensional Penrose lattice: dc conductivity
journal, January 1987


Amorphous topological insulators constructed from random point sets
journal, January 2018


Electronic Structure and Transport in Approximants of the Penrose Tiling
journal, August 2014

  • Trambly de Laissardière, G.; Szállás, A.; Mayou, D.
  • Acta Physica Polonica A, Vol. 126, Issue 2
  • DOI: 10.12693/APhysPolA.126.617

Properties of tight-binding electrons in a two-dimensional quasi-lattice
journal, December 1986


Numerical evidence for power-law localisation in weakly disordered systems
journal, April 1985


Localization of electronic wave functions due to local topology
journal, October 1986


Absence of backscattering in the quantum Hall effect in multiprobe conductors
journal, November 1988


Time-reversal symmetry protected chiral interface states between quantum spin and quantum anomalous Hall insulators
journal, August 2015


Quick iterative scheme for the calculation of transfer matrices: application to Mo (100)
journal, May 1984

  • Sancho, M. P. Lopez; Sancho, J. M. Lopez; Rubio, J.
  • Journal of Physics F: Metal Physics, Vol. 14, Issue 5
  • DOI: 10.1088/0305-4608/14/5/016

Highly convergent schemes for the calculation of bulk and surface Green functions
journal, April 1985

  • Sancho, M. P. Lopez; Sancho, J. M. Lopez; Sancho, J. M. L.
  • Journal of Physics F: Metal Physics, Vol. 15, Issue 4
  • DOI: 10.1088/0305-4608/15/4/009