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We study two-particle states in a Su-Shrieffer-Heeger (SSH) chain with periodic boundary conditions and nearest-neighbor (NN) interactions. The system is mapped into a problem of a single particle in a two-dimensional (2D) SSH lattice with…

Strongly Correlated Electrons · Physics 2018-07-05 A. M. Marques , R. G. Dias

We investigate interacting Su-Schrieffer-Heeger (SSH) chains with two- and three-site unit cells using density matrix renormalization group (DMRG) simulations. By selecting appropriate filling fractions and sweeping across interaction…

Strongly Correlated Electrons · Physics 2025-12-18 Yuxiao Hang , Stephan Haas

We address the effect of nearest-neighbor (NN) interactions on the topological properties of the Su-Schrieffer-Heeger (SSH) chain, with alternating hopping amplitudes t1 and t2. Both numerically and analytically, we show that the presence…

Strongly Correlated Electrons · Physics 2017-04-05 A. M. Marques , R. G. Dias

We perform both analytical and numerical studies of the one-dimensional tight-binding Hamiltonian with stochastic uncorrelated on-site energies and non-fluctuating long-range hopping integrals . It was argued recently [A. Rodriguez at al.,…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. A. B. F. de Moura , A. V. Malyshev , M. L. Lyra , V. A. Malyshev , F. Dominguez-Adame

Electronic behavior of a 1D Aubry chain with Hubbard interaction is critically analyzed in presence of electric field. Multiple energy bands are generated as a result of Hubbard correlation and Aubry potential, and, within these bands…

Mesoscale and Nanoscale Physics · Physics 2016-06-21 Srilekha Saha , Santanu K. Maiti , S. N. Karmakar

We consider a Su-Schrieffer-Heeger chain to which we attach a semi-infinite undimerized chain (lead) to both ends. We study the effect of the openness of the SSH model on its properties. A representation of the infinite system using an…

Mesoscale and Nanoscale Physics · Physics 2023-07-03 Alexei Bissonnette , Nicolas Delnour , Andrew Mckenna , Hichem Eleuch , Michael Hilke , Richard MacKenzie

After Anderson's prediction of disorder-induced insulating behavior, extensive work found no singularities in the density of states of localized systems. However, Johri and Bhatt recently uncovered the existence of a non-analyticity in the…

Strongly Correlated Electrons · Physics 2015-09-02 J. Perera , R. Wortis

We study the bosonic two-body problem in a Su-Schrieffer-Heeger dimerized chain with on-site and nearest-neighbor interactions. We find two classes of bound states. The first, similar to the one induced by on-site interactions, has its…

Quantum Gases · Physics 2017-09-19 M. Di Liberto , A. Recati , I. Carusotto , C. Menotti

We study localization in a quasiperiodic spinful antiferromagnetic Hubbard ring within a self-consistent Hartree-Fock framework, emphasizing the interplay of quasiperiodicity, staggered Zeeman-field-induced antiferromagnetic order, and…

Mesoscale and Nanoscale Physics · Physics 2026-04-01 Souvik Roy , Ranjini Bhattacharya

We study the charge dynamic structure factor of the one-dimensional Hubbard model with finite on-site repulsion U at half filling. Numerical results from the time-dependent density matrix renormalization group are analyzed by comparison…

Strongly Correlated Electrons · Physics 2012-04-23 R. G. Pereira , K. Penc , S. R. White , P. D. Sacramento , J. M. P. Carmelo

We consider a two-dimensional generalization of the Su-Schrieffer-Heeger model which is known to possess a non-trivial topological band structure. For this model, which is characterized by a single parameter, the hopping ratio $0 \leq r\leq…

Superconductivity · Physics 2023-03-29 Ying Wang , Gautam Rai , Stephan Haas , Anuradha Jagannathan

The ground states of the two-dimensional repulsive Hubbard model are studied within the unrestricted Hartree-Fock (UHF) theory. Magnetic and charge properties are determined by systematic, large-scale, exact numerical calculations, and…

Strongly Correlated Electrons · Physics 2013-09-20 Jie Xu , Chia-Chen Chang , Eric J. Walter , Shiwei Zhang

We study numerically the effect of on-site Hubbard interaction U between two electrons in the quasiperiodic Harper's equation. In the periodic chain limit by mapping the problem to that of one electron in two dimensions with a diagonal line…

Disordered Systems and Neural Networks · Physics 2009-10-30 S. N. Evangelou , D. E. Katsanos

We consider the Su-Schrieffer-Heeger (SSH) chain, which has 0, 1, or 2 topological edge states depending on the ratio of the hopping parameters and the parity of the chain length. We couple a qubit to one edge of the SSH chain and a…

Mesoscale and Nanoscale Physics · Physics 2023-09-21 Meri Zaimi , Christian Boudreault , Nouédyn Baspin , Nicolas Delnour , Hichem Eleuch , Richard MacKenzie , Michael Hilke

Topological insulator lie at the forefront of condensed matter physics. However strong disorder can destroy the topological states and make all states become localized. In this paper, we investigate the competition between topology and…

Mesoscale and Nanoscale Physics · Physics 2023-05-05 Xin Guan , Gang Chen

The Su-Schrieffer-Heeger (SSH) model serves as a canonical example of a one-dimensional topological insulator, yet its behavior under more complex, realistic conditions remains a fertile ground for research. This paper presents a…

Materials Science · Physics 2025-06-13 Souvik Ghosh , Sayak Roy

The Hamiltonian for the one-dimensional SSH chain is one of the simplest Hamiltonians that supports topological states. This work considers between one and three finite SSH chains with open boundary conditions that either share a lattice…

Atomic Physics · Physics 2024-01-09 C. I. Kvande , D. B. Hill , D. Blume

This study explores the ground-state phase diagram and topological properties of the spinless 1D Su-Schrieffer-Heeger (SSH) model with nearest-neighbor (NN) interactions at quarter filling. We analyze key physical quantities such as the…

Strongly Correlated Electrons · Physics 2025-12-11 Yan-Xiao Wang , Yin Zhong

We study spinless fermions on a finite chain with nearest-neighbor repulsion and in the presence of a Wannier-Stark linearly-varying electric field potential. In the absence of the interaction, the eigenstates are localized for the system's…

Strongly Correlated Electrons · Physics 2025-02-10 Nair Aucar Boidi , Amnon Aharony , Ora Entin-Wohlman , Karen Hallberg , Cesar Proetto

We investigate the topological properties of one-dimensional weakly interacting topological insulators using bosonization. To do that we study the topological edge states that emerge at the edges of a model realized by a strong impurity or…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 Polina Matveeva , Dmitri Gutman , Sam T. Carr
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