Disorder-induced topological quantum phase transitions in Euler
semimetals
- URL: http://arxiv.org/abs/2306.13084v1
- Date: Thu, 22 Jun 2023 17:57:10 GMT
- Title: Disorder-induced topological quantum phase transitions in Euler
semimetals
- Authors: Wojciech J. Jankowski, Mohammedreza Noormandipour, Adrien Bouhon,
Robert-Jan Slager
- Abstract summary: We study the effect of disorder in systems having a non-trivial Euler class.
We show that quenched disorder drives Euler semimetals into critical metallic phases.
We also show that magnetic disorder can also induce topological transitions to quantum anomalous Hall plaquettes.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the effect of disorder in systems having a non-trivial Euler class.
As these recently proposed multi-gap topological phases come about by braiding
non-Abelian charged band nodes residing between different bands to induce
stable pairs within isolated band subspaces, novel properties that include a
finite critical phase under the debraiding to a metal rather than a transition
point and a modified stability may be expected when the disorder preserves the
underlying $C_2\cal{T}$ or $\cal{P}\cal{T}$ symmetry on average. Employing
elaborate numerical computations, we verify the robustness of associated
topology by evaluating the changes in the average densities of states and
conductivities for different types of disorders. Upon performing a scaling
analysis around the corresponding quantum critical points we retrieve a
universality for the localization length exponent of $\nu = 1.4 \pm 0.1$ for
Euler-protected phases, relating to 2D percolation models. We generically find
that quenched disorder drives Euler semimetals into critical metallic phases.
Finally, we show that magnetic disorder can also induce topological transitions
to quantum anomalous Hall plaquettes with local Chern numbers determined by the
initial value of the Euler invariant.
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