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Critical behavior of the extended Hubbard model with bond dimerization

Abstract:
Exploiting the matrix-product-state based density-matrix renormalization group (DMRG) technique we study the one-dimensional extended (U-V) Hubbard model with explicit bond dimerization in the half-filled band sector. In particular we investigate the nature of the quantum phase transition, taking place with growing ratio V/U between the symmetry-protected-topological and charge-density-wave insulating states. The (weak-coupling) critical line of continuous Ising transitions with central charge c=1/2 terminates at a tricritical point belonging to the universality class of the dilute Ising model with c=7/10. We demonstrate that our DMRG data perfectly match with (tricritical) Ising exponents, e.g., for the order parameter β=1/8 (1/24) and correlation length ν=1 (5/9). Beyond the tricritical Ising point, in the strong-coupling regime, the quantum phase transition becomes first order.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.physb.2017.09.001

Authors


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Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Theoretical Physics
Role:
Author


Publisher:
Elsevier
Journal:
Physica B: Condensed Matter More from this journal
Volume:
536
Pages:
474-478
Publication date:
2017-09-06
Acceptance date:
2017-09-01
DOI:
EISSN:
1873-2135
ISSN:
0921-4526


Keywords:
Pubs id:
pubs:731821
UUID:
uuid:120a2c9c-d1e4-42ec-b253-06ff1c894a3e
Local pid:
pubs:731821
Source identifiers:
731821
Deposit date:
2018-04-19

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