A Class of Exactly Solvable Hamiltonians for S=1/2 Quantum Magnets with Spinless Fermionic Excitations in Higher Dimensions

TL;DR

This paper introduces a new class of exactly solvable Hamiltonians for higher-dimensional quantum magnets that support fractionalized spinless fermionic excitations, extending known models like the Kitaev honeycomb model.

Contribution

It presents a novel class of exactly solvable Hamiltonians with bond-dependent couplings that stabilize spinless fermionic excitations in higher dimensions.

Findings

Supports fractionalized spinless fermionic excitations in dimensions >1

Generalizes known models like the Kitaev honeycomb model

Provides a framework for exactly solvable quantum magnet Hamiltonians

Abstract

This contribution summarizes the main results of a work on exactly solvable Hamiltonians for quantum magnets. A class of Hamiltonians which supports fractionalized spinless fermionic excitations in dimensions greater than one is written down. A well-known one-dimensional example is that of S=1/2 spin chains with Luttinger liquid physics and spinless fermionic excitations that are also called spinons. A well-known two-dimensional example is that of Kitaev's S=1/2 honeycomb model with bond-dependent magnetic couplings which supports Majorana fermionic excitations. The class of models to be discussed here also exploits bond-dependent couplings in a different way to non-perturbatively stabilize spinless fermionic spinons and also Majorana fermions. A more detailed account of these results is being prepared for publication elsewhere.