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A tight binding network of diamond shaped unit cells trapping a staggered magnetic flux distribution is shown to exhibit a topological phase transition under a controlled variation of the flux trapped in a cell. A simple real space…

Mesoscale and Nanoscale Physics · Physics 2020-10-23 Amrita Mukherjee , Atanu Nandy , Shreekantha Sil , Arunava Chakrabarti

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

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

Advances in the next generation of mesoscopic electronics require an understanding of topological phases in inhomogeneous media and the principles that govern them. Motivated by the nature of motifs available in printable conducting inks,…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 Nirnoy Basak , Ritajit Kundu , Basudeb Mondal , Adhip Agarwala

The ability to tailor with a high accuracy the inter-site connectivity in a lattice is a crucial tool for realizing novel topological phases of matter. Here, we report the experimental realization of photonic dimer chains with long-range…

Optics · Physics 2023-07-06 F. Pellerin , R. Houvenaghel , W. A. Coish , I. Carusotto , P. St-Jean

We suggest and experimentally realize a spectral photonic lattice - a signal can hop between discrete frequency channels, driven by nonlinear interaction with stronger pump lasers. By controlling the complex envelope and frequency…

We construct a quasi-two-dimensional Su Schrieffer-Heeger model (SSH) like model and uncover a rich set of topological phases with nontrivial spin textures in the presence of complex hopping and spin orbit coupling. Despite its simple…

Mesoscale and Nanoscale Physics · Physics 2026-03-13 Hemant K Sharma , Saptarshi Mandal , Kush Saha

We propose a method for the emulation of artificial spin orbit coupling in a system of ultracold, neutral atoms trapped in a tight-binding lattice. This scheme does not involve near-resonant laser fields, avoiding the heating processes…

Quantum Gases · Physics 2014-09-24 Julian Struck , Juliette Simonet , Klaus Sengstock

Identifying phases and analyzing the stability of dynamic states are ubiquitous and important problems which appear in various physical systems. Nonetheless, drawing a phase diagram in high-dimensional and large parameter spaces has…

Optical microcavities have emerged as a powerful platform for emulating topological phases challenging to realize in conventional materials, offering precise control over dispersion, light confinement, and interactions. Among them, liquid…

We present a velocity-gauge formalism for computing nonlinear current response functions in periodic systems and apply it to the Su-Schrieffer-Heeger (SSH) model as a minimal topological testbed. By retaining the full minimal coupling…

Chemical Physics · Physics 2025-05-19 Eric R Bittner , Carlos Silva-Acuna

We examine a class of Hamiltonians characterized by interatomic, interorbital even-odd parity hybridization as a model for a family of topological insulators without the need for spin-orbit coupling. Non-trivial properties of these…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Nassim Derriche , Marcel Franz , George Sawatzky

Analogue Hamiltonian simulation (AHS) in photonic systems can be an enticing alternative to direct experimental study of complex Hamiltonian systems as a result of the low cost and high degree of control one can have over the system's…

Optics · Physics 2026-01-12 Nathaniel Fried , Dashiell L. P. Vitullo , Avik Dutt

We show that two particles interacting via spin exchange exhibit topological features found in one-dimensional single particle lattice models. This is accomplished by absorbing all of the spatial degrees of freedom of the lattices into the…

Quantum Physics · Physics 2023-03-15 J. Mumford

We demonstrate the possibility of engineering the topological band structure of a plasmonic Su-Schrieffer-Heeger (SSH) chain through the interaction with its electromagnetic environment. We find that the long-range interaction of the…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Florian Herz , Alireza Naeimi , Svend-Age Biehs

We study the Su-Schrieffer-Hegger model, perhaps the simplest realization of a topological insulator, in the presence of an embedded impurity superlattice. We consider the impact of the said impurity by changing the hopping amplitudes…

Materials Science · Physics 2024-02-09 Julio César Pérez-Pedraza , José Eduardo Barrios-Vargas , Alfredo Raya

Synthetic fields applied to ultracold quantum gases can realize topological phases that transcend conventional Bose and Fermi-liquid paradigms. Raman laser beams in particular are under scrutiny as a route to create synthetic fields in…

Strongly Correlated Electrons · Physics 2018-08-09 Hoi-Yin Hui , Mengsu Chen , S. Tewari , V. W. Scarola

The investigation of topological state transition in carefully designed photonic lattices is of high interest for fundamental research, as well as for applied studies such as manipulating light flow in on-chip photonic systems. Here, we…

We introduce a topological photonic-crystal fiber that embeds a short Su-Schrieffer-Heeger (SSH) chain and supports two edge supermodes. Using full-vector modal analysis and a coupled generalized nonlinear Schroedinger equation, we show…

Topology describes properties that remain unaffected by smooth distortions. Its main hallmark is the emergence of edge states localized at the boundary between regions characterized by distinct topological invariants. This feature offers…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 P. St-Jean , V. Goblot , E. Galopin , A. Lemaître , T. Ozawa , L. Le Gratiet , I. Sagnes , J. Bloch , A. Amo