Symmetry fractionalization, defects, and gauging of topological phases

M Barkeshli, P Bonderson, M Cheng, Z Wang - Physical Review B, 2019‏ - APS
We examine the interplay of symmetry and topological order in 2+ 1-dimensional topological
quantum phases of matter. We present a precise definition of the topological symmetry …

Defect-Induced Low-Energy Majorana Excitations in the Kitaev Magnet

K Imamura, Y Mizukami, O Tanaka, R Grasset… - Physical Review X, 2024‏ - APS
The excitations in the Kitaev spin liquid (KSL) can be described by Majorana fermions,
which have characteristic field dependence of bulk gap and topological edge modes. In the …

Unconventional spin dynamics in the honeycomb-lattice material : High-field electron spin resonance studies

AN Ponomaryov, E Schulze, J Wosnitza… - Physical Review B, 2017‏ - APS
We present high-field electron spin resonance (ESR) studies of the honeycomb-lattice
material α-RuCl 3, a prime candidate to exhibit Kitaev physics. Two modes of …

Atomic-scale observation of structural and electronic orders in the layered compound α-RuCl3

M Ziatdinov, A Banerjee, A Maksov, T Berlijn… - Nature …, 2016‏ - nature.com
Abstract A pseudospin-1/2 Mott phase on a honeycomb lattice is proposed to host the
celebrated two-dimensional Kitaev model which has an elusive quantum spin liquid ground …

Thermodynamic and transport properties in disordered Kitaev models

J Nasu, Y Motome - Physical Review B, 2020‏ - APS
Effects of bond randomness and site dilution are systematically investigated for the Kitaev
model describing a quantum spin liquid with fractional excitations of itinerant Majorana …

Randomly Hop** Majorana Fermions in the Diluted Kitaev System -

SH Do, CH Lee, T Kihara, YS Choi, S Yoon, K Kim… - Physical review …, 2020‏ - APS
dc and ac magnetic susceptibility, magnetization, specific heat, and Raman scattering
measurements are combined to probe low-lying spin excitations in α-Ru 1-x Ir x Cl 3 (x≈ …

Generalizations of Kitaev's honeycomb model from braided fusion categories

L Eck, P Fendley - arxiv preprint arxiv:2408.04006, 2024‏ - arxiv.org
Fusion surface models, as introduced by Inamura and Ohmori, extend the concept of anyon
chains to 2+ 1 dimensions, taking fusion 2-categories as their input. In this work, we …

Majorana quasiparticles emergent in Kitaev spin liquid

J Nasu - Progress of Theoretical and Experimental Physics, 2024‏ - academic.oup.com
This paper reviews the nature of two quasiparticles, the Majorana fermion and vison,
emergent in the Kitaev model, mainly from the theoretical point of view. We demonstrate how …

Majorana edge modes in the Kitaev model

M Thakurathi, K Sengupta, D Sen - Physical Review B, 2014‏ - APS
We study the Majorana modes, both equilibrium and Floquet, which can appear at the edges
of the Kitaev model on the honeycomb lattice. We first present the analytical solutions known …

Demonstrating non-Abelian statistics of Majorana fermions using twist defects

H Zheng, A Dua, L Jiang - Physical Review B, 2015‏ - APS
We study the twist defects in the toric code model introduced by Bombin [Phys. Rev. Lett.
105, 030403 (2010) PRLTAO 0031-9007 10.1103/PhysRevLett. 105.030403]. Using a …