Topological insulators are good examples that host exotic surface states, even though they share the same symmetry as a trivial band insulator.
Following the success of topological insulators, a current challenge, is to search for metallic materials with unusual topology.
Prof. Hae-Young Kee and her student, Mr. Yige Chen together with
a postdoctoral
fellow, Dr. Yuan-Ming Lu at Berkeley predict that perovskite
iridates realize a
new class of metals
named topological crystalline metals.
This work will open the possibility of a whole new class of metals with novel properties contrasting from conventional Fermi liquid.
Read about all the exciting details in Nature Communications:
http://www.nature.com/ncomms/2015/150316/ncomms7593/full/ncomms7593.html