Presentation is loading. Please wait.

Presentation is loading. Please wait.

Y. Baum, T. Posske, I. C. Fulga, B. Trauzettel, A. Stern

Published byCarmela Amato Modified over 5 years ago

Similar presentations

Presentation on theme: "Y. Baum, T. Posske, I. C. Fulga, B. Trauzettel, A. Stern"— Presentation transcript:

1 Y. Baum, T. Posske, I. C. Fulga, B. Trauzettel, A. Stern
Coexisting Edge States and Gapless Bulk in Topological States of Matter Y. Baum, T. Posske, I. C. Fulga, B. Trauzettel, A. Stern Phys. Rev. Lett. 114, arXiv:

2 Topological Insulators
Edge states: Chiral/Helical Protected by the gap (disorder, local perturbations)

3 Coexisting Bulk and Edge
Close the gap…

4 Coexisting Bulk and Edge

5 Coexisting Bulk and Edge
Solutions?

6 Coexisting Bulk and Edge
Solutions? 1) More complicated H

7 Coexisting Bulk and Edge
Solutions? 1) More complicated H 2) Bilayer

8 Bilayers: gapless bulk + edges
No disorder: Different Energies Different Momenta

9 Termination dependent
“Strong” edge “Weak” edge

10 Gapless Bulk + Edges With Disorder
Edge-bulk competition Depends on the symmetry class

11 Gapless Bulk + Edges With Disorder
Case I: AQH, C=1 localizes trivial

12 Gapless Bulk + Edges With Disorder
Case I: Edges Win

13 Gapless Bulk + Edges With Disorder
Case II: The edge wins – force to localize. doesn’t localize by itself.

14 Gapless Bulk + Edges With Disorder
Case III: Bulk Wins:

15 Gapless bulk + Edges In experiment: QSHE QSHE

16 Gapless bulk + Edges In experiment: QSHE QSHE

17 Gapless bulk + Edges In experiment: QSHE QSHE

18 Gapless bulk + Edges In experiment: QSHE QSHE

19 Gapless bulk + Edges In experiment:

20 Gapless bulk + Edges In experiment:

21 Conclusions Gapless Bulk and Edge modes coexist
“Weak” and “Strong” edges Different behavior with disorder Double Hg(Cd)Te quantum wells

Download ppt "Y. Baum, T. Posske, I. C. Fulga, B. Trauzettel, A. Stern"

Similar presentations

Protected edge modes without symmetry Michael Levin University of Maryland.

Protected edge modes without symmetry Michael Levin University of Maryland.
Quasiparticle Scattering in 2-D Helical Liquid arXiv: 0910.0756 X. Zhou, C. Fang, W.-F. Tsai, J. P. Hu.

Quasiparticle Scattering in 2-D Helical Liquid arXiv: X. Zhou, C. Fang, W.-F. Tsai, J. P. Hu.
Exploring Topological Phases With Quantum Walks $$ NSF, AFOSR MURI, DARPA, ARO Harvard-MIT Takuya Kitagawa, Erez Berg, Mark Rudner Eugene Demler Harvard.

Exploring Topological Phases With Quantum Walks $$ NSF, AFOSR MURI, DARPA, ARO Harvard-MIT Takuya Kitagawa, Erez Berg, Mark Rudner Eugene Demler Harvard.
Abrahams. The volume is edited by E Abrahams. A distinguished group of experts, each of whom has left his mark on the developments of this fascinating.

Abrahams. The volume is edited by E Abrahams. A distinguished group of experts, each of whom has left his mark on the developments of this fascinating.
Interacting Fermionic and Bosonic Topological Insulators, possible Connection to Standard Model and Gravitational Anomalies Cenke Xu 许岑珂 University of.

Interacting Fermionic and Bosonic Topological Insulators, possible Connection to Standard Model and Gravitational Anomalies Cenke Xu 许岑珂 University of.
Solution of the Deuteron using Perturbation Theory (ongoing work with R. S. Azevedo and Prof. Bira van Kolck) University of Arizona Undergraduate Symposium.

Solution of the Deuteron using Perturbation Theory (ongoing work with R. S. Azevedo and Prof. Bira van Kolck) University of Arizona Undergraduate Symposium.
Quantum “disordering” magnetic order in insulators, metals, and superconductors HARVARD Talk online: sachdev.physics.harvard.edu Perimeter Institute, Waterloo,

Quantum “disordering” magnetic order in insulators, metals, and superconductors HARVARD Talk online: sachdev.physics.harvard.edu Perimeter Institute, Waterloo,
Topological Superconductors

Topological Superconductors
Multichannel Majorana Wires

Multichannel Majorana Wires
Funded by NSF, Harvard-MIT CUA, AFOSR, DARPA, MURI Takuya Kitagawa Harvard University Mark Rudner Harvard University Erez Berg Harvard University Yutaka.

Funded by NSF, Harvard-MIT CUA, AFOSR, DARPA, MURI Takuya Kitagawa Harvard University Mark Rudner Harvard University Erez Berg Harvard University Yutaka.
Topological Delocalization in Quantum Spin-Hall Systems without Time-Reversal Symmetry L. Sheng ( 盛利 ) Y. Y. Yang ( 杨运友 ), Z. Xu ( 徐中 ), D. Y. Xing ( 邢定钰.

Topological Delocalization in Quantum Spin-Hall Systems without Time-Reversal Symmetry L. Sheng ( 盛利 ) Y. Y. Yang ( 杨运友 ), Z. Xu ( 徐中 ), D. Y. Xing ( 邢定钰.
Detecting collective excitations of quantum spin liquids Talk online: sachdev.physics.harvard.edu Talk online: sachdev.physics.harvard.edu.

Detecting collective excitations of quantum spin liquids Talk online: sachdev.physics.harvard.edu Talk online: sachdev.physics.harvard.edu.
Subir Sachdev arXiv:0804.1794 Subir Sachdev arXiv:0804.1794 Loss of Neel order in insulators and superconductors Ribhu Kaul Max Metlitski Cenke Xu.

Subir Sachdev arXiv: Subir Sachdev arXiv: Loss of Neel order in insulators and superconductors Ribhu Kaul Max Metlitski Cenke Xu.
Twist liquids and gauging anyonic symmetries

Twist liquids and gauging anyonic symmetries
IRIDATES Bill Flaherty Materials 286K, UCSB Dec. 8 th, 2014.

IRIDATES Bill Flaherty Materials 286K, UCSB Dec. 8 th, 2014.
Fractional topological insulators

Fractional topological insulators
I.1 ii.2 iii.3 iv.4 1+1=. i.1 ii.2 iii.3 iv.4 1+1=

I.1 ii.2 iii.3 iv.4 1+1=. i.1 ii.2 iii.3 iv.4 1+1=
Majorana Fermions and Topological Insulators

Majorana Fermions and Topological Insulators
I.1 ii.2 iii.3 iv.4 1+1=. i.1 ii.2 iii.3 iv.4 1+1=

I.1 ii.2 iii.3 iv.4 1+1=. i.1 ii.2 iii.3 iv.4 1+1=
Fermionic Symmetry Protected Topological Phase Induced by Interaction Shangqiang NING First year PHD student Institute For Advanced Study, Tsinghua University.

Fermionic Symmetry Protected Topological Phase Induced by Interaction Shangqiang NING First year PHD student Institute For Advanced Study, Tsinghua University.

Similar presentations

Ads by Google