@article{c58a0182b79d40ad8e2b8c1bd46c41c0,
title = "Topology and the one-dimensional Kondo-Heisenberg model",
abstract = "The Kondo-Heinsberg chain is an interesting model of a strongly correlated system which has a broad superconducting state with pair-density wave (PDW) order. Some of us have recently proposed that this PDW state is a symmetry-protected topological (SPT) state, and the gapped spin sector of the model supports Majorana zero modes. In this paper, we reexamine this problem using a combination of numeric and analytic methods. In extensive density-matrix renormalization group calculations, we find no evidence of a topological ground state degeneracy or the previously proposed Majorana zero modes in the PDW phase of this model. This result motivated us to reexamine the original arguments for the existence of the Majorana zero modes. A careful analysis of the effective continuum field theory of the model shows that the Hilbert space of the spin sector of the theory does not contain any single Majorana fermion excitations. This analysis shows that the PDW state of the doped 1D Kondo-Heisenberg model is not an SPT with Majorana zero modes.",
author = "Julian May-Mann and Ryan Levy and Rodrigo Soto-Garrido and Cho, {Gil Young} and Clark, {Bryan K.} and Eduardo Fradkin",
note = "Funding Information: We thank H. Goldman and R. Sohal for useful conversations. We thank J. Claese, X. Yu, and H.-Y. Chou for preliminary work on simulating PDW phases. J.M.M. is supported by the National Science Foundation Graduate Research Fellowship Program under Grant No. DGE 1746047. DMRG calculations used the ITensor Library . This project is part of the Blue Waters sustained petascale computing project, which is supported by the National Science Foundation (Awards No. OCI-0725070 and No. ACI-1238993) and the State of Illinois. Blue Waters is a joint effort of the University of Illinois at Urbana-Champaign and its National Center for Supercomputing Applications. This work also made use of the Illinois Campus Cluster, a computing resource that is operated by the Illinois Campus Cluster Program (ICCP) in conjunction with the National Center for Supercomputing Applications (NCSA) and which is supported by funds from the University of Illinois at Urbana-Champaign. This work was supported in part by the National Science Foundation Grant No. DMR-1725401 at the University of Illinois (E.F.), and Fondecyt (Chile) Grant No. 1200399 (R.S.-G.) This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2020R1C1C1006048). Publisher Copyright: {\textcopyright} 2020 American Physical Society.",
year = "2020",
month = apr,
day = "15",
doi = "10.1103/PhysRevB.101.165133",
language = "English (US)",
volume = "101",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Physical Society",
number = "16",
}