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In the class of materials called spin liquids, a magnetically ordered state cannot be attained even at milliKelvin temperatures because of conflicting constraints on each spin (for e.g. from geometric or exchange frustration). The resulting quantum spin-liquid (QSL) state is currently of intense interest because it exhibits novel excitations as well as wave-function entanglement. The layered insulator $alpha$-RuCl$_3$ orders as a zigzag antiferromagnet below $sim$7 K in zero magnetic field. The zigzag order is destroyed when a magnetic field $bf H$ is applied parallel to the zigzag axis a. Within the field interval (7.3, 11) Tesla, there is growing evidence that a QSL state exists. Here we report the observation of oscillations in its thermal conductivity below 4 K. The oscillation amplitude is very large within the interval (7.3, 11) T and strongly suppressed on either side. Paradoxically, the oscillations are periodic in 1/emph{H}, analogous to quantum oscillations in metals, even though $alpha$-RuCl$_3$ is an excellent insulator with a gap of 1.9 eV. By tilting $bf H$ out of the plane, we find that the oscillation period is determined by the in-plane component $H_a$. As the temperature is raised above 0.5 K, the oscillation amplitude decreases exponentially. The decrease anticorrelates with the emergence above $sim$2 K of an anomalous planar thermal Hall conductivity measured with $bf Hparallel a$. To exclude extrinsic artifacts, we carried out several tests. The implications of the oscillations are discussed.
The Kitaev quantum spin liquid displays the fractionalization of quantum spins into Majorana fermions. The emergent Majorana edge current is predicted to manifest itself in the form of a finite thermal Hall effect, a feature commonly discussed in top
We report on the unusual behavior of the in-plane thermal conductivity ($kappa$) and torque ($tau$) response in the Kitaev-Heisenberg material $alpha$-RuCl$_3$. $kappa$ shows a striking enhancement with linear growth beyond H = 7 T, where magnetic or
The Kitaev quantum spin liquid epitomizes an entangled topological state, for which two flavors of fractionalized low-energy excitations are predicted: the itinerant Majorana fermion and the Z2 gauge flux. Detection of these excitations remains chall
We study on transport and magnetic properties of hydrated and lithium-intercalated $alpha$-RuCl$_3$, Li$_x$RuCl$_3 cdot y$H$_2$O, for investigating the effect on mobile-carrier doping into candidate materials for a realization of a Kitaev model. From
An external magnetic field can induce a transition in $alpha$-RuCl$_3$ from an ordered zigzag state to a disordered state that is possibly related to the Kitaev quantum spin liquid. Here we present new field dependent inelastic neutron scattering and