Quantum liquid crystals in the finite-field K$\Gamma$ model for
$\alpha$-RuCl$_3$
- URL: http://arxiv.org/abs/2107.03045v2
- Date: Fri, 19 Nov 2021 04:51:14 GMT
- Title: Quantum liquid crystals in the finite-field K$\Gamma$ model for
$\alpha$-RuCl$_3$
- Authors: Masahiko G. Yamada, Satoshi Fujimoto
- Abstract summary: We study the extended Kitaev model called the K$Gamma$ model.
In the phase diagram, we discover a nematic Kitaev spin liquid and a Kekul'e Kitaev spin liquid.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the extended Kitaev model called the K$\Gamma$ model, using a
perturbative expansion combined with a well-controlled mean-field approximation
and a cutting-edge exact diagonalization. In the phase diagram, we discover a
nematic Kitaev spin liquid and a Kekul\'e Kitaev spin liquid. The former
potentially explains the high-field nematic state with zero Chern number
experimentally observed in $\alpha$-RuCl$_3$, even for sufficiently small
values of $\Gamma/|K|$. The latter has a Majorana zero mode in its $Z_3$ vortex
core, which can be potentially controlled by the domain wall motion. This opens
a possible application of the quantum liquid crystal phases in the K$\Gamma$
model to the topological quantum computation.
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