Fock-Space Embedding Theory: Application to Strongly Correlated Topological Phases

Workshop: Strongly Correlated Topological Phases of Matter

Distinct Topological Crystalline Phases in Models for the Strongly Correlated Topological Insulator SmB_{6}.

SmB_{6} was recently proposed to be both a strong topological insulator and a topological crystalline insulator. For this and related cubic topological Kondo insulators, we prove the existence of four different topological phases, distinguished by the sign of mirror Chern numbers. We characterize these phases in terms of simple observables, and we provide concrete tight-binding models for each ...

Embedding approach for dynamical mean-field theory of strongly correlated heterostructures

We present an embedding approach based on localized basis functions which permits an efficient application of the dynamical mean-field theory DMFT to inhomogeneous correlated materials, such as semi-infinite surfaces and heterostructures. In this scheme, the semi-infinite substrate leads connected to both sides of the central region of interest are represented via complex energy-dependent embed...

Strongly Correlated Phases in Rapidly Rotating Bose Gases

Abstract. We consider a system of trapped spinless bosons interacting with a repulsive potential and subject to rotation. In the limit of rapid rotation and small scattering length, we rigorously show that the ground state energy converges to that of a simplified model Hamiltonian with contact interaction projected onto the Lowest Landau Level. This effective Hamiltonian models the bosonic anal...

Quantum Field Theory on Fock Projective Space

It is shown that some analog of the “second quantization” exists in the framework of CP (N) theory. I analyse conditions under that “geometrical bosons” may be identified with real physical fields. The compact character of a state manifold should preserve the quantities of dynamical variables from divergences.