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We study transport properties and topological phase transition in two-dimensional interacting disordered systems. Within dynamical mean-field theory, we derive the Hall conductance, which is quantized and serves as a topological invariant…

Disordered Systems and Neural Networks · Physics 2019-03-27 Jun-Hui Zheng , Tao Qin , Walter Hofstetter

We construct a periodically time-dependent Hamiltonian with a phase transition in the quantum Hall universality class. One spatial dimension can be eliminated by introducing a second incommensurate driving frequency, so that we can study…

Mesoscale and Nanoscale Physics · Physics 2011-10-20 J. P. Dahlhaus , J. M. Edge , J. Tworzydlo , C. W. J. Beenakker

A material whose electrons are correlated can affect electron dynamics across the interface with another material. Such a "proximity effect" can have several manifestations, from order parameter leakage to generated effective interactions.…

Strongly Correlated Electrons · Physics 2013-08-22 Predrag Nikolic , Zlatko Tesanovic

We investigate a square-lattice architecture of superconducting transmon qubits with inter-qubit interactions mediated by inductive couplers. Therein, the inductive couling between the qubit and couplers is suggested to be designed into the…

Quantum Physics · Physics 2025-06-24 Yan-Jun Zhao , Yu-Qi Wang , Yang Xue , Xun-Wei Xu , Yan-Yang Zhang , Wu-Ming Liu , Yu-xi Liu

The discovery of topological phases in condensed matter systems has changed the modern conception of phases of matter. The global nature of topological ordering makes these phases robust and hence promising for applications. However, the…

Topological quantum phases underpin many concepts of modern physics. While the existence of disorder-immune topological edge states of electrons usually requires magnetic fields, direct effects of magnetic field on light are very weak. As a…

We study the quantum valley Hall effect and related domain wall modes in twisted bilayer graphene at a large commensurate angle. Due to the quantum valley and sub-valley Hall effect, a small deviation from the commensurate angle generates…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 Chiranjit Mondal , Rasoul Ghadimi , Bohm-Jung Yang

Quantized Hall conductance is a generic feature of two dimensional electronic systems with broken time reversal symmetry. In the quantum anomalous Hall state recently discovered in magnetic topological insulators, time reversal symmetry is…

When a two-dimensional electron gas is exposed to a perpendicular magnetic field and an in-plane electric field, its conductance becomes quantized in the transverse in-plane direction: this is known as the quantum Hall (QH) effect. This…

Heterostructures of superconductors and quantum-Hall insulators are promising platforms of topological quantum computation. However, these two systems are incompatible in some aspects such as a strong magnetic field, the Meissner effect,…

Mesoscale and Nanoscale Physics · Physics 2025-11-17 Ryota Nakai , Koji Kudo , Hiroki Isobe , Kentaro Nomura

We argue that by inducing superconductivity in graphene via the proximity effect, it is possible to observes the "quantum valley Hall effect". In the presence of magnetic field, supercurrent causes "valley pseudospin" to accumulate at the…

Superconductivity · Physics 2013-05-29 Pouyan Ghaemi , Shinsei Ryu , Dung-Hai Lee

Programmable quantum processors are suitable platforms for simulating quantum systems, of which topological phases are of particular interest. We simulate the quench dynamics of a one-dimensional system on IBM Q devices. The topological…

Mesoscale and Nanoscale Physics · Physics 2022-01-03 Huai-Chun Chang , Hsiu-Chuan Hsu

We propose a quantum simulator based on driven superconducting qubits where the interactions are generated parametrically by a polychromatic magnetic flux modulation of a tunable bus element. Using a time-dependent Schrieffer-Wolff…

We analyze the role of impurities in the fractional quantum Hall effect using a highly controllable system of ultracold atoms. We investigate the mechanism responsible for the formation of plateaux in the resistivity/conductivity as a…

We present a theory of non-equilibrium superconducting proximity effect in an interacting quantum dot induced by a time-dependent tunnel coupling between dot and a superconducting lead. The proximity effect, that is established when the…

Mesoscale and Nanoscale Physics · Physics 2012-03-30 Ali G. Moghaddam , Michele Governale , Jürgen König

We construct a theory for the semiclassical dynamics of superconducting quasiparticles by following their wave-packet motion and reveal rich contents of Berry curvature effects in the phase-space spanned by position and momentum. These…

Superconductivity · Physics 2021-05-12 Zhi Wang , Liang Dong , Cong Xiao , Qian Niu

We investigate two kinds of topological structures (sphere and torus) spanned by the controlled parameters of a driven two-level system's Hamiltonian, and consider the connection between the structures and the system's dynamics. We discuss…

Quantum Physics · Physics 2021-03-04 Ze-Lin Zhang , Ping Xu , Zhen-Biao Yang

We consider models for the plateau transition in the integer quantum Hall effect. Starting from the network model, we construct a mapping to the Dirac Hamiltonian in two dimensions. In the general case, the Dirac Hamiltonian has randomness…

Condensed Matter · Physics 2011-08-05 C. -M. Ho , J. T. Chalker

The experimental observation of the long-sought quantum anomalous Hall effect was recently reported in magnetically doped topological insulator thin films [Chang et al., Science 340, 167 (2013)]. An intriguing observation is a rapid…

Mesoscale and Nanoscale Physics · Physics 2013-10-04 Hai-Zhou Lu , An Zhao , Shun-Qing Shen

In two-dimensional layered quantum materials, the stacking order of the layers determines both the crystalline symmetry and electronic properties such as the Berry curvature, topology and electron correlation. Electrical stimuli can…