Details
| Original language | English |
|---|---|
| Article number | 075129 |
| Number of pages | 10 |
| Journal | Physical Review B |
| Volume | 111 |
| Issue number | 7 |
| Publication status | Published - 13 Feb 2025 |
Abstract
We introduce the concept of "tetris chains,"which are linear arrays of four-site molecules that differ by their intermolecular hopping geometry. We investigate the fermionic symmetry-protected topological Haldane phase in these systems using Hubbard-type models. The topological phase diagrams can be understood via different competing limits and mechanisms: strong coupling U≫t, weak coupling U≪t, and the weak intermolecular hopping limit t′≪t. Our particular focus is on two tetris chains that are of experimental relevance. First, we show that a "Y-chain"of coarse-grained nanographene molecules (triangulenes) is robustly in the Haldane phase in the whole t′-U plane due to the cooperative nature of the three limits. Secondly, we study a near-homogeneous "Y′-chain"that is closely related to the electronic model for poly(p-phenylene vinylene). In the latter case, the above mechanisms compete, but the Haldane phase manifests robustly and is stable when long-ranged Pariser-Parr-Popple interactions are added. The site-edged Hubbard ladder can also be viewed as a tetris chain, which gives a very general perspective on the emergence of its fermionic Haldane phase. Our numerical results are obtained by large-scale, SU(2)-symmetric tensor network calculations. We employ the density-matrix-renormalization group as well as the variational uniform matrix-product state (VUMPS) algorithms for finite and infinite systems, respectively. The numerics are supplemented by analytical calculations of the band-structure winding number.
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 111, No. 7, 075129, 13.02.2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Persistent Haldane phase in carbon tetris chains
AU - Abdelwahab, Anas
AU - Karrasch, Christoph
AU - Rausch, Roman
N1 - Publisher Copyright: © 2025 authors. Published by the American Physical Society.
PY - 2025/2/13
Y1 - 2025/2/13
N2 - We introduce the concept of "tetris chains,"which are linear arrays of four-site molecules that differ by their intermolecular hopping geometry. We investigate the fermionic symmetry-protected topological Haldane phase in these systems using Hubbard-type models. The topological phase diagrams can be understood via different competing limits and mechanisms: strong coupling U≫t, weak coupling U≪t, and the weak intermolecular hopping limit t′≪t. Our particular focus is on two tetris chains that are of experimental relevance. First, we show that a "Y-chain"of coarse-grained nanographene molecules (triangulenes) is robustly in the Haldane phase in the whole t′-U plane due to the cooperative nature of the three limits. Secondly, we study a near-homogeneous "Y′-chain"that is closely related to the electronic model for poly(p-phenylene vinylene). In the latter case, the above mechanisms compete, but the Haldane phase manifests robustly and is stable when long-ranged Pariser-Parr-Popple interactions are added. The site-edged Hubbard ladder can also be viewed as a tetris chain, which gives a very general perspective on the emergence of its fermionic Haldane phase. Our numerical results are obtained by large-scale, SU(2)-symmetric tensor network calculations. We employ the density-matrix-renormalization group as well as the variational uniform matrix-product state (VUMPS) algorithms for finite and infinite systems, respectively. The numerics are supplemented by analytical calculations of the band-structure winding number.
AB - We introduce the concept of "tetris chains,"which are linear arrays of four-site molecules that differ by their intermolecular hopping geometry. We investigate the fermionic symmetry-protected topological Haldane phase in these systems using Hubbard-type models. The topological phase diagrams can be understood via different competing limits and mechanisms: strong coupling U≫t, weak coupling U≪t, and the weak intermolecular hopping limit t′≪t. Our particular focus is on two tetris chains that are of experimental relevance. First, we show that a "Y-chain"of coarse-grained nanographene molecules (triangulenes) is robustly in the Haldane phase in the whole t′-U plane due to the cooperative nature of the three limits. Secondly, we study a near-homogeneous "Y′-chain"that is closely related to the electronic model for poly(p-phenylene vinylene). In the latter case, the above mechanisms compete, but the Haldane phase manifests robustly and is stable when long-ranged Pariser-Parr-Popple interactions are added. The site-edged Hubbard ladder can also be viewed as a tetris chain, which gives a very general perspective on the emergence of its fermionic Haldane phase. Our numerical results are obtained by large-scale, SU(2)-symmetric tensor network calculations. We employ the density-matrix-renormalization group as well as the variational uniform matrix-product state (VUMPS) algorithms for finite and infinite systems, respectively. The numerics are supplemented by analytical calculations of the band-structure winding number.
UR - http://www.scopus.com/inward/record.url?scp=85217741567&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.111.075129
DO - 10.1103/PhysRevB.111.075129
M3 - Article
AN - SCOPUS:85217741567
VL - 111
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 7
M1 - 075129
ER -