Topological quantum matter with cold atoms
This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …
Topological quantum phases, originally discovered and investigated in condensed matter …
Non-Abelian quantum order in spin-orbit-coupled semiconductors: Search for topological Majorana particles in solid-state systems
We show that an ordinary semiconducting thin film with spin-orbit coupling can, under
appropriate circumstances, be in a quantum topologically ordered state supporting exotic …
appropriate circumstances, be in a quantum topologically ordered state supporting exotic …
Single-particle Green's functions and interacting topological insulators
V Gurarie - Physical Review B—Condensed Matter and Materials …, 2011 - APS
We study topological insulators characterized by the integer topological invariant Z, in even
and odd spatial dimensions. These are well understood in the case when there are no …
and odd spatial dimensions. These are well understood in the case when there are no …
Bulk-boundary correspondence of topological insulators from their respective Green's functions
Topological insulators are noninteracting, gapped fermionic systems which have gapless
boundary excitations. They are characterized by topological invariants, which can be written …
boundary excitations. They are characterized by topological invariants, which can be written …
Flat bands in topological media
TT Heikkilä, NB Kopnin, GE Volovik - JETP letters, 2011 - Springer
Topological media are systems whose properties are protected by topology and thus are
robust to deformations of the system. In topological insulators and superconductors the bulk …
robust to deformations of the system. In topological insulators and superconductors the bulk …
Symmetry protected topological superfluid 3He-B
Owing to the richness of symmetry and well-established knowledge of bulk superfluidity, the
superfluid 3 He has offered a prototypical system to study intertwining of topology and …
superfluid 3 He has offered a prototypical system to study intertwining of topology and …
Search for Majorana fermions in multiband semiconducting nanowires
We study multiband semiconducting nanowires proximity-coupled with an s-wave
superconductor. We show that, when an odd number of subbands are occupied, the system …
superconductor. We show that, when an odd number of subbands are occupied, the system …
Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface
TT Heikkilä, GE Volovik - JETP letters, 2011 - Springer
We consider the dimensional crossover in the topological matter, which involves the
transformation of different types of topologically protected zeroes in the fermionic spectrum …
transformation of different types of topologically protected zeroes in the fermionic spectrum …
Majorana Fermions and Exotic Surface Andreev Bound States in Topological Superconductors: Application to
The recently discovered superconductor Cu x Bi 2 Se 3 is a candidate for three-dimensional
time-reversal-invariant topological superconductors, which are predicted to have robust …
time-reversal-invariant topological superconductors, which are predicted to have robust …
Topological invariants and interacting one-dimensional fermionic systems
We study one-dimensional, interacting, gapped fermionic systems described by variants of
the Peierls-Hubbard model, and we characterize their phases via a topological invariant …
the Peierls-Hubbard model, and we characterize their phases via a topological invariant …