This article reviews the physics of high-temperature superconductors from the point of view of the doping of a Mott insulator. The basic electronic structure of cuprates is reviewed, emphasizing the… Expand

The electrical conductivity of an ordinary metal such as gold is usually thought to be well understood. The electrons form a Fermi sea made up of plane waves modulated by the periodic crystal… Expand

A two-dimensional electron system in an external magnetic field, with Landau-level filling factor \ensuremath{\nu}=1/2, can be transformed to a mathematically equivalent system of fermions… Expand

The enigmatic pseudogap phase in underdoped cuprate high T_c superconductors has long been recognized as a central puzzle of the T_c problem. Recent data show that the pseudogap is likely a distinct… Expand

A theory of the thermal Hall effect in insulating quantum magnets, where the heat current is totally carried by charge-neutral objects such as magnons and spinons, offers a clear experimental method to prove the existence of the deconfined spinons via a thermal transport phenomenon.Expand

A U(1) gauge theory of the Hubbard model in the slave-rotor representation is formulated and it is argued that spin liquid phases may exist near the Mott transition in the Hubbardmodel on triangular and honeycomb lattices at half filling.Expand

We establish that spin liquids described in terms of gapless fermionic (Dirac) spinons and gapless U(1) gauge fluctuations can be stable in two dimensions, at least when the physical SU(2) spin… Expand

We describe experimental signatures of Majorana fermion edge states, which form at the interface between a superconductor and the surface of a topological insulator. If a lead couples to the Majorana… Expand