Abstract

We propose a spin transport experiment to measure the low-energy excitations in insulators with spin degrees of freedom, with a focus on detecting ground states that lack magnetic order. A general formalism to compute the spin-current from a metal with a non-equilibrium distribution of spins to an insulator is developed. It is applied to insulating states with and without long range magnetic order, and salient features in the spin-conductance are noted.

Highlights

  • Observation of fractionalized excitations in insulating spin-systems has been a long-sought goal in physics

  • We proposed the use of spin currents as a gateway to probe the nature of excitations in magnetic insulators

  • We showed at that in the zero temperature limit, the threshold and scaling of spin current with voltages may be used effectively to search for spin liquid ground states in magnetic insulators

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Summary

INTRODUCTION

Observation of fractionalized excitations in insulating spin-systems has been a long-sought goal in physics. Such quantum spin liquid states, if realized in nature, would be a new quantum phase of matter with exotic properties. Numerical studies on the triangular and kagome lattice Heisenberg models indicate the possibility of spin liquid ground states in certain parameter-regimes. In spite of promising evidence for observation of spin liquids from several experiments, the exact nature of experimentally realized ground states, and in particular, the presence of a spin-gap is still unclear.

Generation and detection of spin current
General expression for spin current
Simplifications for certain physically relevant structure factors
SPIN CURRENT FOR ORDERED ANTIFERROMAGNETS
Elastic contribution
Inelastic contribution
Neel order parallel to spin quantization axis in the metal
SPIN CURRENT FOR SYSTEMS WITH NO MAGNETIC ORDER
VBS states with triplon excitations
Spin liquids with spinon excitations
Gapped spinons with quadratic bands
Gapless spinons at Dirac points
Generic spinon dispersions and spatial dimensions
Numerical results for a model Z2 spin liquid state on the Kagome lattice
CONCLUSION AND OUTLOOK
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