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We investigate adiabatic charge pumping in disordered system in one dimension with open and closed boundary conditions. In contrast to the Thouless charge pumping, the system has no gap even though all the states are localized, i.e., strong…

Disordered Systems and Neural Networks · Physics 2009-11-13 Chyh-Hong Chern , Shigeki Onoda , Shuichi Murakami , Naoto Nagaosa

Thouless's quantum adiabatic pumping is of fundamental interest to condensed-matter physics. It originally considered a zero-temperature equilibrium state uniformly occupying all the bands below a Fermi surface. In the light of recent…

Quantum Physics · Physics 2015-12-16 Longwen Zhou , Da Yang Tan , Jiangbin Gong

Dynamics of particle in a resonantly driven quantum well can be interpreted as that of a particle in a crystal-like structure, with the time playing the role of the coordinate. By introducing an adiabatically varied phase in the driving…

Quantum Gases · Physics 2022-10-05 Y. Braver , C. -h. Fan , G. Žlabys , E. Anisimovas , K. Sacha

The study of topological effects in physics is a hot area, and only recently researchers were able to address the important issues of topological properties of interacting quantum systems. But it is still a great challenge to describe…

Quantum Gases · Physics 2017-07-05 Yongguan Ke , Xizhou Qin , Yuri S. Kivshar , Chaohong Lee

In clean and weakly disordered systems, topological and trivial phases having a finite bulk energy gap can transit to each other via a quantum critical point. In presence of strong disorder, both the nature of the phases and the associated…

Disordered Systems and Neural Networks · Physics 2025-06-26 Saikat Mondal , Adhip Agarwala

The paradigm of Floquet engineering of topological states of matter can be generalized into the time-quasiperiodic scenario, where a lower dimensional time-dependent system maps into a higher dimensional one by combining the physical…

Mesoscale and Nanoscale Physics · Physics 2021-12-07 Zihao Qi , Gil Refael , Yang Peng

Two parallel helical edge channels hosting interacting electrons, when proximitized by local and nonlocal pairings, can host time-reversal-invariant pairs of topological zero modes at the system corners. Here we show that realistic…

Mesoscale and Nanoscale Physics · Physics 2026-02-12 Anna Ohorodnyk , Chen-Hsuan Hsu

We study how nonlinear strength affects topological pumping of edge solitons by using nonlinear Gross-Pitaevskii equation. For weak nonlinear strength, the introduction of nonlinearity breaks the symmetry of the energy spectrum, which makes…

Pattern Formation and Solitons · Physics 2025-01-03 Xinrui You , Liaoyuan Xiao , Yongguan Ke , Chaohong Lee

The discovery of topological states of matter has profoundly augmented our understanding of phase transitions in physical systems. Instead of local order parameters, topological phases are described by global topological invariants and are…

There is a close theoretical connection between topological Floquet physics and cavity QED, yet this connection has not been realized experimentally due to complicated cavity QED models that often arise. We propose a simple, experimentally…

Mesoscale and Nanoscale Physics · Physics 2024-11-08 Manshuo Lin , Saeed Rahmanian Koshkaki , Mohsen Yarmohammadi , Michael H. Kolodrubetz

We investigate the ground-state phase diagram of the spinless Haldane-Hubbard model in the presence of quenched disorder, contrasting results obtained from both exact diagonalization as well as density matrix renormalization group, applied…

Strongly Correlated Electrons · Physics 2021-11-23 Tian-Cheng Yi , Shijie Hu , Eduardo V. Castro , Rubem Mondaini

Recently, the structural disorder-induced topological phase transitions in periodic systems have attracted much attention. However, in aperiodic systems such as quasicrystalline systems, the interplay between structural disorder and band…

Mesoscale and Nanoscale Physics · Physics 2024-08-08 Tan Peng , Yong-Chen Xiong , Chun-Bo Hua , Zheng-Rong Liu , Xiaolu Zhu , Wei Cao , Fang Lv , Yue Hou , Bin Zhou , Ziyu Wang , Rui Xiong

We present a diagrammatic real-time approach to adiabatic pumping of electrons through interacting quantum dots. Performing a systematic perturbation expansion in the tunnel-coupling strength, we compute the charge pumped through a…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Janine Splettstoesser , Michele Governale , Jürgen König , Rosario Fazio

We study the two-dimensional disordered topological superconductor with Hubbard interactions. When the magnitude of the pairing potential is tuned to special values, this interacting model is exactly solvable even when disorders are imposed…

Disordered Systems and Neural Networks · Physics 2024-11-22 Yiting Deng , Yan He

Topological pumping supplies a robust mechanism to steer waves across a sample without being affected by disorders and defects. For the first time, we demonstrate the pumping of elastic surface waves, achieved by a smart patterning of a…

Applied Physics · Physics 2024-02-22 Shaoyun Wang , Zhou Hu , Qian Wu , Hui Chen , Emil Prodan , Rui Zhu , Guoliang Huang

We investigate the effect of disorder on topologically nontrivial states in a two dimension (2D) mechanical system. We first propose a quantum spin Hall (QSH) insulator based on an out-of-plane spring-mass model and analytically study the…

Applied Physics · Physics 2023-09-01 Xiaotian Shi , Rajesh Chaunsali , Georgios Theocharis , Huaqing Huang , Rui Zhu , Jinkyu Yang

We study Thouless pumps, i.e., adiabatic topological transport, in an interacting spin chain described by the dimerized XXZ Hamiltonian. In the noninteracting case, quantized Thouless pumps can only occur when a topological singularity is…

Using exact diagonalization and quantum Monte Carlo calculations we investigate the effects of disorder on the phase diagram of both non-interacting and interacting models of two-dimensional topological insulators. In the fermion sign…

Strongly Correlated Electrons · Physics 2016-12-21 Hsiang-Hsuan Hung , Aaron Barr , Emil Prodan , Gregory A. Fiete

Non-Hermitian systems have provided a rich platform to study unconventional topological phases.These phases are usually robust against external perturbations that respect certain symmetries of thesystem. In this work, we provide a new…

Disordered Systems and Neural Networks · Physics 2022-11-28 Anouar Moustaj , Lumen Eek , Cristiane Morais Smith

We report the theoretical investigation of the disorder effects on the bulk states of inverted InAs/GaSb quantum wells. As disorder sources we consider the interface roughness and donors/acceptors supplied by intentional doping. We use a…

Mesoscale and Nanoscale Physics · Physics 2019-07-31 C. Ndebeka-Bandou , J. Faist