A magnet with no unified order.
What is a paramagnet?
What Resonating Valence Bonds?
The class of quantum spin ice
What is U(1)?
These rules dictate that 2 spins point inwards and 2 point outwards per tetrahedron
What are 2-in-2-out "ice rules"?
Quantum spin ice can artificially produce these quantized electromagnetic waves.
What are photons?
Antiferromagnetism occurs when the electrons' spins are ordered in this pattern.
What is antiparallel?
In RVBs, electrons form these bonds with their neighbors.
What are singlet valence bonds?
What is Dirac?
This is the favored state in a quantum spin ice.
What is the state that takes the least energy to delocalize excitations?
The name of the quantum spin liquid synthesized by Tokyo University.
What is Praseodymium Zirconate (Pr2Zr2O7)?
Above this temperature, antiferromagnets become ordered.
What is the Néel / Ordering Temperature?
The ground state is this, meaning excitations and changes are non-local.
What is entangled?
Named after a physicist with an eponymous particle.
What is Spinon Fermi Surface?
The zero-point fluctuations in quantum spin ice are similar to the fluctuations in this space.
What is the electrodynamics vacuum?
In a triangular lattice, the unknown electron spin is this degree degenerate.
What is sixfold degenerate?
The name of the law associated with this formula.
What is the Curie-Weiss Law?
This refers to any fractional excitation.
What is exotic excitation?
This class is related to the properties of a geometric object's structure that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending.
What is topological?
The flipping of spins around a circle of tetrahedra to delocalize an excitation is known as this phenomenon.
What is a ring exchange?
The first gauge transformation involved this variable.
What is voltage?
The frustration parameter is defined as the ratio of these two variables.
What are the Curie Temperature and the Néel Temperature
When a resonating valence bond is broken, this quasiparticle is left behind.
What is a spinon?
The four classes listed in order, top to bottom:
Topological, U(1), Dirac, Spinon Fermi Surface
The complete name of the gauge theory relating quantum spin ice to electromagnetism.
What is Odd Lattice Compact U(1) Gauge Theory?
These were the two primary classical spin ices studied for their favorable statistical properties.
What are dysprosium titanate (Dy2Ti2O7) and holmium titanate (Ho2Ti2O7)?