Frustrated Magnets and Quantum Spin Liquids

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quantum spin liquid is a solid whose atoms have magnetic moments but, because
of quantum fluctuations, these moments fluctuate like a liquid even at zero
temperature.  Two dimensional spin liquids have been suggested as a way to
produce high temperature superconductivity, and to build quantum computers.  Just as helium is the only element which is a liquid at zero temperature,
2D spin liquids have been extremely difficult to find, despite decades of
effort, raising the question, do realistic spin liquids even exist?

Recently, apparent spin liquids have been found experimentally, stimulating theoretical
work to find simple model Hamiltonians of frustrated spin systems that have
spin liquid ground states.

In this talk, I will give a broad overview of spin liquids and then focus on
our simulations of the kagome Heisenberg model, a simple, realistic model of
some of the recent experimental spin liquids, where we find a spin liquid
ground state.