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We investigate the localization properties of a quasi-one-dimensional two-channel system with symmetric and asymmetric onsite energies using the Aubry-Andr\'{e} model. By analyzing the Lyapunov exponent and localization length, we…

Disordered Systems and Neural Networks · Physics 2025-03-12 Mohammad Pouranvari

In this paper, the influence of the quasidisorder on a two-dimensional system is studied. We find that there exists a topological phase transition accompanied by a transverse Anderson localization. The topological properties are…

Disordered Systems and Neural Networks · Physics 2023-08-09 Shujie Cheng , Reza Asgari , Gao Xianlong

We study the universality class for localization which arises from models of non-interacting quasiparticles in disordered superconductors that have neither time-reversal nor spin-rotation symmetries. Two-dimensional systems in this…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. T. Chalker , N. Read , V. Kagalovsky , B. Horovitz , Y. Avishai , A. W. W. Ludwig

We systematically investigate the topological and localization properties of a quadrupolar insulator represented by the celebrated Benalcazar-Bernevig-Hughes model in presence of a quasiperiodic disorder instilled in its hopping amplitude.…

Mesoscale and Nanoscale Physics · Physics 2024-06-21 Srijata Lahiri , Saurabh Basu

We introduce a general scheme for constructing order parameters (OPs) by extracting generic patterns from the dominant Fock states of many-body ground states. While topological phases are traditionally characterized by non-local invariants,…

Other Condensed Matter · Physics 2026-05-13 Tsz Hin Hui , Xiaodan Xia , Pedro D. Sacramento , Wing Chi Yu

In this paper, we investigate the transition between topological phases in a Su-Schrieffer-Heeger (SSH) model composed of springs and masses in which the intracellular Aubry-Andr\'e disorder modulates the spring constants. We analytically…

Statistical Mechanics · Physics 2025-02-06 Sayan Sircar

The high Chern number phases with the Chern number |C| > 1 are observed in this study of a periodically driven extended Su-Schrieffer-Heeger (E-SSH) model with a cyclic parameter. Besides the standard intra-dimer and the nearest-neighbor…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 Aayushi Agrawal , Jayendra N. Bandyopadhyay

We demonstrate that checkerboard magnet-superconductor hybrid systems possess a rich phase diagram exhibiting both strong topological superconducting (STSC) and topological nodal point superconducting (TNPSC) phases. We show that TNPSC…

Superconductivity · Physics 2023-01-30 Tuan Kieu , Eric Mascot , Jasmin Bedow , Roland Wiesendanger , Dirk K. Morr

In disordered systems, wave functions in the Schr\"{o}dinger equation may exhibit a transition from the extended phase to the localized phase, in which the states at the boundaries or mobility edges may exhibit multifractality. Meanwhile,…

Quantum Physics · Physics 2023-12-04 Xiaoshui Lin , Xiaoman Chen , Guang-Can Guo , Ming Gong

Quantized conductance from topologically protected edge states is a hallmark of two-dimensional topological phases. In contrast, edge states in one-dimensional (1D) topological systems cannot transmit current across the insulating bulk,…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Bozhen Zhou , Pan Zhang , Yucheng Wang , Chao Yang

The Su-Schrieffer-Heeger (SSH) model, a prime example of a one-dimensional topologically nontrivial insulator, has been extensively studied in flat space-time. In recent times, many studies have been conducted to understand the properties…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Priyanuj Rajbongshi , Ranjan Modak

Controlling the topological properties of quantum matter is a major goal of condensed matter physics. A major effort in this direction has been devoted to using classical light in the form of Floquet drives to manipulate and induce states…

Mesoscale and Nanoscale Physics · Physics 2022-05-05 Olesia Dmytruk , Marco Schirò

The localization property of a non-Hermitian Su-Schrieffer-Heeger (SSH) chain with quasi-periodic on-site potential is investigated. In contrast to the preceding investigations, the quantum phase transition between localized state and…

Quantum Physics · Physics 2026-01-29 Guan-Qiang Li , Zhi-Yu Lin , You-Jiao Dong , Ya-Feng Xue , Chun-Yang Ren , Ping Peng

Topological modes in one- and two-dimensional systems have been proposed for numerous applications utilizing their exotic electronic responses. The zero-energy, topologically protected end modes can be realized in the Su-Schrieffer-Heeger…

Mesoscale and Nanoscale Physics · Physics 2020-03-19 Md Nurul Huda , Shawulienu Kezilebieke , Teemu Ojanen , Robert Drost , Peter Liljeroth

Topological phases are often characterized by special edge states confined near the boundaries by an energy gap in the bulk. On raising temperature, these edge states are lost in a clean system due to mobile thermal excitations. Recently…

Disordered Systems and Neural Networks · Physics 2013-10-07 Yasaman Bahri , Ronen Vosk , Ehud Altman , Ashvin Vishwanath

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

In order to transport information with topological protection, we explore experimentally the fast transport time using edge states in one-dimensional Su-Schrieffer-Heeger (SSH) chains. The transport time is investigated in both one- and…

We investigate the topology of the different phases of the extended Su-Schrieffer-Heeger (eSSH) model, which includes hopping processes between translationally inequivalent atoms beyond nearest neighbors. Exact analytical expressions for…

Other Condensed Matter · Physics 2026-04-23 P. A. Grizzi , A. A. Aligia , P. Roura-Bas

Using a prototype model for proximity induced superconductivity on a bilayer square lattice, we show that interlayer tunneling can drive change in topology of the Bogoliubov quasiparticle bands. Starting with topologically trivial…

Superconductivity · Physics 2021-07-15 Navketan Batra , Swagatam Nayak , Sanjeev Kumar

We propose an efficient scheme for simulating the topological phases of matter based on silicon-vacancy (SiV) center arrays in phononic crystals. This phononic band gap structure allows for long-range spin-spin interactions with a tunable…

Quantum Physics · Physics 2020-02-12 Xiao-Xiao Li , Bo Li , Peng-Bo Li
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