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@ARTICLE{Tirrito:878334,
author = {Tirrito, E. and Rizzi, M. and Sierra, G. and Lewenstein, M.
and Bermudez, A.},
title = {{R}enormalization group flows for {W}ilson-{H}ubbard matter
and the topological {H}amiltonian},
journal = {Physical review / B},
volume = {99},
number = {12},
issn = {0163-1829},
address = {Woodbury, NY},
publisher = {Inst.},
reportid = {FZJ-2020-02786},
pages = {125106},
year = {2019},
abstract = {Understanding the robustness of topological phases of
matter in the presence of interactions poses a difficult
challenge in modern condensed matter, showing interesting
connections to high-energy physics. In this work, we
leverage these connections to present a complete analysis of
the continuum long-wavelength description of a generic class
of correlated topological insulators: Wilson-Hubbard
topological matter. We show that a Wilsonian renormalization
group (RG) approach, combined with the so-called topological
Hamiltonian, provide a quantitative route to understand
interaction-induced topological phase transitions that occur
in Wilson-Hubbard matter. We benchmark two-loop RG
predictions for a quasi-1D Wilson-Hubbard model by means of
exhaustive numerical simulations based on matrix product
states (MPS). The agreement of the RG predictions with MPS
simulations motivates the extension of the RG calculations
to higher-dimensional topological insulators.},
cin = {PGI-8},
ddc = {530},
cid = {I:(DE-Juel1)PGI-8-20190808},
pnm = {142 - Controlling Spin-Based Phenomena (POF3-142) / 522 -
Controlling Spin-Based Phenomena (POF3-522)},
pid = {G:(DE-HGF)POF3-142 / G:(DE-HGF)POF3-522},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000460723400002},
doi = {10.1103/PhysRevB.99.125106},
url = {https://juser.fz-juelich.de/record/878334},
}