AUTHOR=Allerdt Andrew , Feiguin Adrian E. TITLE=A Numerically Exact Approach to Quantum Impurity Problems in Realistic Lattice Geometries JOURNAL=Frontiers in Physics VOLUME=7 YEAR=2019 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2019.00067 DOI=10.3389/fphy.2019.00067 ISSN=2296-424X ABSTRACT=
We review a controlled numerical approach to quantum impurity problems in realistic geometries, consisting of exactly mapping the complete lattice Hamiltonian onto an equivalent one dimensional system through a unitary transformation. The resulting dimensional and entanglement reduction allows one to study the quantum many-body problem on arbitrary