TY  - JOUR
A1  - Rousochatzakis, Ioannis
A1  - Reuther, Johannes
A1  - Thomale, Ronny
A1  - Rachel, Stephan
A1  - Perkins, N. B.
T1  - Phase Diagram and Quantum Order by Disorder in the Kitaev K\(_1\) - K\(_2\) Honeycomb Magnet
T2  - Physical Review X
N2  - We show that the topological Kitaev spin liquid on the honeycomb lattice is extremely fragile against the second-neighbor Kitaev coupling K\(_2\), which has recently been shown to be the dominant perturbation away from the nearest-neighbor model in iridate Na\(_2\)IrO\(_3\), and may also play a role in \(\alpha\)-RuCl\(_3\) and Li\(_2\)IrO\(_3\). This coupling naturally explains the zigzag ordering (without introducing unrealistically large longer-range Heisenberg exchange terms) and the special entanglement between real and spin space observed recently in Na\(_2\)IrO\(_3\). Moreover, the minimal K\(_1\) - K\(_2\) model that we present here holds the unique property that the classical and quantum phase diagrams and their respective order-by-disorder mechanisms are qualitatively different due to the fundamentally different symmetries of the classical and quantum counterparts.
KW  - model
KW  - anyons
KW  - lattice
KW  - confinement-deconfinement transition
Y1  - 2015
UR  - https://opus.bibliothek.uni-wuerzburg.de/frontdoor/index/index/docId/13723
UR  - https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-137235
VL  - 5
IS  - 041035
ER  -