Mechanical strain induced topological phase transition in ZrTe5

Topological Quantum Computing Group, BME,  2021.07.26.

Zoltán Tajkov,

ELTE, Department of Biological Physics

Nanostructures Department, Centre for Energy Research

ZrTe5

ZrTe5

What is so interesting?

  • Weak / strong TI ?
  • Sensitive to structural changes
  • Literature is inconsistent 

Own measurements

ZrTe5

Own measurements

ZrTe5

DFT results I.: Stiffness Tensor

Hooke's law: \( \sigma_{ij}=C_{ijkl}\varepsilon_{kl} \)

\( \boldsymbol{C} \): stiffness tensor, 81 number, 36 independent 

Orthorombic, 9 parameters

Free energy:

F=\frac{1}{2}\lambda_{xxxx}u^2_{xx}+\frac{1}{2}\lambda_{yyyy}u^2_{yy}+\frac{1}{2}\lambda_{zzzz}u^2_{zz}+\lambda_{xxyy}u_{xx}u_{yy} + \\ +\lambda_{xxzz}u_{xx}u_{zz} +\lambda_{yyzz}u_{yy}u_{zz}+2\lambda_{xyxy}u_{xy}^2+2\lambda_{xzxz}u_{xz}^2+2\lambda_{yzyz}u_{yz}^2

ZrTe5

DFT results II.: Phase diagram

WTI

STI

ZrTe5

DFT results III.: Bubble strain pattern

Insensitive

Gap closing - opening

ZrTe5

Where are we on the map?

Molecular Dynamics Simulation

Continuum mechanics

FEM

COMSOL

ZrTe5

To-do

  • DFT Mapping
  • COMSOL 

Special thanks to

Péter Nemes-Incze

Dániel Nagy

László Oroszlány

János Koltai