Drag resistance mediated by quantum spin liquids

Abstract

Recent advances in material synthesis made it possible to realize two-dimensional monolayers of candidate materials for a quantum spin liquid (QSL) such as $\alpha$-RuCl${}_3$,1T-TaSe${}_2$ and 1T-TaS${}_2$. In this work, we propose an experimental setup that exploits nonlocal electrical probes to gain information on the transport properties of a gapless QSL. The proposed setup is a spinon-mediated drag experiment: a current is injected in one of the two layers and a voltage is measured on the second metallic film. The overall momentum transfer mechanism is a two-step process mediated by Kondo interaction between the local moments in the quantum spin liquid and the spins of the electrons. In the limit of negligible momentum relaxed within the QSL layer, we calculate the drag relaxation rate for Kitaev, ${\mathbb{Z}}_2$, and U(1) QSLs using Aslamazov-Larkin diagrams. We find, however, that the case of dominant momentum relaxation within the QSL layer is far more relevant and thus develop a model based on the Boltzmann kinetic equation to describe the proposed setup. Within this framework we calculate the low temperature scaling behavior of the drag resistivity, both for U(1) and ${\mathbb{Z}}_2$ QSLs with Fermi surfaces. In some regimes we find a crossover in the temperature scaling that is different between the ${\mathbb{Z}}_2$ and U(1) QSL both because of the non-Fermi liquid nature of the U(1) QSL, and because of the qualitatively different momentum relaxation mechanism within the QSL layer. Our findings suggest that parameters of the system can be tuned to make the spinon-mediated drag a significant fraction of the total transresistance.

10 pages, 2 appendices, 7 figures

References in corpus (17)

• Fractionalized Fermi liquids
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• On the stability of U(1) spin liquids in two dimensions
• Exciton Condensation and Perfect Coulomb Drag
• Choreographed entangle dances: topological states of quantum matter
• Gapless excitations in the ground state of 1T-TaS${}_2$
• Spin-split band hybridization in graphene proximitized with $\alpha$-RuCl${}_3$ nanosheets
• The low-temperature highly correlated quantum phase in the charge-density-wave 1T-TaS_2 compound
• Transport Properties of a spinon Fermi surface coupled to a U(1) gauge field
• Electrical resistivity near Pomeranchuk instability in two dimensions
• A controlled expansion for certain non-Fermi liquid metals
• Evidence for a spinon Kondo effect in cobalt atoms on single-layer 1T-TaSe${}_2$
• Hydrodynamic flows of non-Fermi liquids: magnetotransport and bilayer drag
• Impurity-induced resonant spinon zero modes in Dirac quantum spin-liquids
• Spin liquid in twisted homobilayers group-VI gichalcogenides
• Thermodynamic signatures of a fractionalized Fermi liquid

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