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Related papers: Topological properties and edge states in a driven…

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We demonstrate the existence of topologically nontrivial phase in a one-dimensional fermionic lattice system subjected to synthetic gauge fields, which is beyond the standard Altland-Zirnbauer classification of topological insulators. The…

Strongly Correlated Electrons · Physics 2015-03-18 Linhu Li , Shu Chen

In this Letter we study interacting systems with spontaneous discrete symmetry breaking, where the degenerate symmetry-broken states are topologically distinct gapped phases. Edge modes appear at domain walls between the two topological…

Mesoscale and Nanoscale Physics · Physics 2022-04-15 Gal Shavit , Yuval Oreg

One-dimensional crystals serve as a versatile platform for engineering nontrivial states, which can be easily explored in transport configurations. In this work, we analyze the properties of a periodic structure composed of an H-shaped unit…

Quantum Physics · Physics 2026-03-19 Sofía Pinto , P. A. Orellana , Sergio Bravo

Although topological artificial systems, like acoustic/photonic crystals and cold atoms in optical lattices were initially motivated by simulating topological phases of electronic systems, they have their own unique features such as the…

Other Condensed Matter · Physics 2021-08-12 L. B. Shao , Q. Liu , R. Xiao , Shengyuan A. Yang , Y. X. Zhao

We consider a system of interacting spin-one atoms in a hexagonal lattice under the presence of a synthetic gauge field. Quenching the quadratic Zeeman field is shown to lead to a dynamical instability of the edge modes. This, in turn,…

Quantum Gases · Physics 2015-12-15 Bogdan Galilo , Derek K. K. Lee , Ryan Barnett

We study the electronic properties of a linear trans-polyacetylene (tPA) molecule capacitively coupled to an external gate voltage $V_g$ of width $d$. We describe this system using the Takayama-Lin-Liu-Maki (TLM) model in the continuum, and…

Mesoscale and Nanoscale Physics · Physics 2026-03-05 Tomás Suleiman , Aníbal Iucci , Alejandro Martín Lobos

This study investigates the occurrence of acoustic topological edge states in a 2D phononic elastic waveguide due to a phenomenon that is the acoustic analogue of the quantum valley Hall effect. We show that a topological transition takes…

Mesoscale and Nanoscale Physics · Physics 2018-01-10 Ting-Wei Liu , Fabio Semperlotti

It is well known that inversion symmetry in one-dimensional (1D) systems leads to the quantization of the geometric Zak phase to values of either 0 or {\pi}. When the system has particle-hole symmetry, this topological property ensures the…

Mesoscale and Nanoscale Physics · Physics 2017-04-20 Yi-Xin Xiao , Zhao-Qing Zhang , C. T. Chan

One-dimensional lattices with chiral symmetry are known to possess quantized Zak phase and nontrivial topological phases. Here it is shown that quantized Zak phase and nontrivial edge states, partially protected by inversion symmetry rather…

Optics · Physics 2018-12-11 Stefano Longhi

We study the eigenspectrum properties of a one-dimensional molecular chain composed of hexagonal unit cells. The system features two alternating hopping parameters, resulting in a rich energy spectrum with both dispersive and flat bands. By…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 M. Niţă

The phase structure of 2-dimensional topological insulators under a sufficiently strong electron-electron interaction is investigated. The effective theory is constructed by extending the idea of the Kane-Mele model on the graphenelike…

Strongly Correlated Electrons · Physics 2013-06-05 Yasufumi Araki , Taro Kimura

In this work we investigate the topological content of the Zak phase in one-dimensional translation-invariant topological insulators endowed with time-reversal, particle-hole and/or chiral symmetries, extending results from…

Mathematical Physics · Physics 2026-04-28 Federico Manzoni , Domenico Monaco , Gabriele Peluso

We investigate the energy band structure and energy levels of graphene with staggered intrinsic spin-orbit coupling and in-plane Zeeman fields. Our study demonstrates that staggered intrinsic spin-orbit coupling induces bulk band crossover…

Mesoscale and Nanoscale Physics · Physics 2025-09-08 Lizhou Liu , Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

Strong long-range hoppings up to third nearest neighbors may induce a topological phase transition in one-dimensional chains. Unlike the Su-Schrieffer-Heeger model, this transition from trivial to topological phase occurs with the emergence…

Combining strong electron correlations [1-4] and nontrivial electronic topology [5] holds great promise for discovery. So far, this regime has been rarely accessed and systematic studies are much needed to advance the field. Here we…

Controllable topological phase transitions are appealing as they allow for tunable single particle electronic properties. Here, by using state-of-the-art manybody perturbation theory techniques, we show that the topological $Z_2$ phase…

Mesoscale and Nanoscale Physics · Physics 2022-10-13 Davide Romanin , Matteo Calandra , Alex W. Chin

We study two-band one-dimensional superconducting chains of spinless fermions with inter and intra-band pairing. These bands hybridize and depending on the relative angular momentum of their orbitals this can be symmetric or anti-symmetric.…

Superconductivity · Physics 2017-03-22 T. O. Puel , P. D. Sacramento , M. A. Continentino

The recent synthesis of two-dimensional staggered materials opens up burgeoning opportunities to study optical spin-orbit interactions in semiconducting Dirac-like systems. We unveil topological phase transitions in the photonic spin Hall…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 W. J. M. Kort-Kamp

The hoppings of non-interacting particles in the optical dice lattice result in the gapless dispersions in the band structure formed by the three lowest minibands. In our research, we find that once a periodic driving force is applied to…

Quantum Gases · Physics 2022-11-08 Shujie Cheng , Gao Xianlong

We study the topology and geometry of a fermionic model on the honeycomb lattice with spin-dependent hopping which breaks the time-reversal and charge-conjugation symmetries but preserves their composition. We show that in such a case the…

Strongly Correlated Electrons · Physics 2015-06-17 P. V. Sriluckshmy , Archana Mishra , S. R. Hassan , R. Shankar