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The Su-Schrieffer-Heeger (SSH) model, containing dimerized hopping and a constant onsite energy, has become a paradigmatic model for one-dimensional topological phases, soliton excitations and fractionalized charge in the presence of chiral…

Strongly Correlated Electrons · Physics 2020-06-08 Wojciech Brzezicki , Timo Hyart

Chirality manifests across multiple scales, yielding unique phenomena that break mirror symmetry. In chiral materials, unexpectedly large spin-filtering or photogalvanic effects have been observed even in materials composed of light…

We study topological transitions in one dimensional superconductors that can harbor multiple edge Majorana bound states protected by chiral symmetry. The chiral symmetry arises due to the structure of the internal spin degrees of freedom of…

Superconductivity · Physics 2025-05-05 Kristian Løvås Svalland , Maria Teresa Mercaldo , Mario Cuoco

The hallmark of two-dimensional chiral topological phases is the existence of anomalous gapless modes at the spatial boundary. Yet, the manifestation of this edge anomaly within the bulk ground-state wavefunction itself remains only…

Quantum Physics · Physics 2026-04-24 Yarden Sheffer , Ruihua Fan , Ady Stern , Erez Berg , Shinsei Ryu

A chiral symmetric Su-Schrieffer-Heeger (SSH) chain features topological end states in one of its dimerized configurations. Those mid-gap zero energy states show interesting modifications upon a periodic tuning of the hopping modulations.…

Strongly Correlated Electrons · Physics 2024-05-15 Surajit Mandal , Satyaki Kar

Topologically protected chiral states at a mass-inverted quantum dot in graphene are studied by analyzing both tight-binding and kernal polynomial method calculations. The mass-inverted quantum dot is introduced by considering a…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Nojoon Myoung

We construct a two-leg ladder dimer model by using two orbitals instead of one in Su-Schrieffer-Heeger (SSH) dimer chain and find out a chiral symmetry in it. In this model, the otherwise-hidden additional chiral symmetry allows us to…

Strongly Correlated Electrons · Physics 2015-06-23 Jin-Yu Zou , Bang-Gui Liu

Twistronics, harnessing interlayer rotation to tailor electronic states in van der Waals materials, has predominantly focused on small-angle regime. Here, we unveil the pivotal role of intervalley Umklapp scattering in large-angle twisted…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Juncheng Li , Cong Chen , Wang Yao

Spinless systems exhibit unique topological characteristics compared to spinful ones, stemming from their distinct algebra. Without chiral interactions typically linked to spin, an intriguing yet unexplored interplay between topological and…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 Cong Chen , Xu-Tao Zeng , Wang Yao

We predict pseudo topological insulators that have been previously overlooked. We determine some conditions under which robust pseudo topological edge states appear and illustrate our idea on the Su-Schrieffer-Heeger (SSH) model with extra…

Strongly Correlated Electrons · Physics 2019-05-21 C. Yuce

We describe a protocol to read out the topological invariant of interacting 1D chiral models, based on measuring the mean chiral displacement of time-evolving bulk excitations. We present analytical calculations and numerical Matrix Product…

Quantum Gases · Physics 2020-08-06 Andreas Haller , Pietro Massignan , Matteo Rizzi

Recent works have proved the existence of symmetry-protected edge states in certain one-dimensional topological band insulators and superconductors at the gap-closing points which define quantum phase transitions between two topologically…

Mesoscale and Nanoscale Physics · Physics 2021-10-20 Oleksandr Balabanov , Daniel Erkensten , Henrik Johannesson

Coupling photonic cavity fields to electronic degrees of freedom in 2D materials introduces an additional control knob to the toolbox of solid-state engineering. Here we demonstrate a subtle competition between cavity frequency and…

Mesoscale and Nanoscale Physics · Physics 2025-05-13 Sayed Ali Akbar Ghorashi , Jennifer Cano , Ceren B. Dag

The condensed-matter realization of chiral anomaly has attracted tremendous interest in exploring unexpected phenomena of quantum field theory. Here, we show that one-dimensional (1D) chiral anomaly (i.e., 1D nonconservational chiral…

Mesoscale and Nanoscale Physics · Physics 2023-11-07 Zheng Qin , Dong-Hui Xu , Zhen Ning , Rui Wang

Chirality manifests in various forms in nature. However, there is no evidence of the chirality in one-dimensional charge density wave (CDW) systems. Here, we have explored the chirality among quasi-one-dimensional CDW ground states with the…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Sun-Woo Kim , Hyun-Jung Kim , Sangmo Cheon , Tae-Hwan Kim

We report an experimental study of the disordered Su-Schrieffer-Heeger (SSH) model, implemented in a system of coaxial cables, whose radio frequency properties map on to the SSH Hamiltonian. By measuring multiple chains with random hopping…

Disordered Systems and Neural Networks · Physics 2023-11-21 D. M. Whittaker , Maxine M. McCarthy , Qingqing Duan

Chirality is an important concept that describes the asymmetry property of a system, which usually emerges spontaneously due to mirror symmetry breaking. Such spontaneous chirality manifests predominantly as parity breaking in modern…

The advent of topological phases of matter revealed a variety of observed boundary phenomena, such as chiral and helical modes found at the edges of two-dimensional (2D) topological insulators. Antichiral states in 2D semimetals, i.e.,…

Mesoscale and Nanoscale Physics · Physics 2021-07-23 M. Michael Denner , J. L. Lado , Oded Zilberberg

Moir\'e network formation in graphene bilayers breaks stacking symmetry, giving rise to domain walls that host topologically protected one-dimensional states. Here we show that these systems undergo an additional symmetry breaking at the…

Mesoscale and Nanoscale Physics · Physics 2026-03-05 Xue Yan , Kaiyun Chen , Yuan Yan , Fan Feng , Minglei Sun , Christian Brandl , Jefferson Zhe Liu

Chirality is one of the key features governing the electronic properties of single- and bilayer graphene: the basics of this concept and its consequences on transport are presented in this review. By breaking the inversion symmetry, a band…

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