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Recent experiments with ultracold quantum gases have successfully realized integer-quantized topological charge pumping in optical lattices. Motivated by this progress, we study the effects of static disorder on topological Thouless charge…

Quantum Gases · Physics 2021-05-03 A. L. C. Hayward , E. Bertok , U. Schneider , F. Heidrich-Meisner

We present a minimal non-Hermitian model where a topologically nontrivial complex energy spectrum is induced by inter-particle interactions. Our model consists of a one-dimensional chain with a dynamical non-Hermitian gauge field with…

Quantum Physics · Physics 2023-03-23 William N Faugno , Tomoki Ozawa

We study a controlled large-$N$ theory of electrons coupled to dynamical two-level systems (TLSs) via spatially-random interactions. Such a physical situation arises when electrons scatter off low-energy excitations in a metallic glass,…

Strongly Correlated Electrons · Physics 2024-06-11 Noga Bashan , Evyatar Tulipman , Jörg Schmalian , Erez Berg

Topological quantum interference emerges from the interplay between quantum mechanics and topology. We present evidence for two types of such interference phenomenon that can result from the quantum dynamics of initial topological states.…

Quantum Physics · Physics 2022-06-08 Zeng-Zhao Li , Juan Atalaya , K. Birgitta Whaley

We study the nontrivial topology of the parameter space of general $U(1)$-symmetric fermionic non-degenerately gapped system and its consequences on the transport properties in arbitrary dimensions. By a nonlinear parameter-gauge…

Strongly Correlated Electrons · Physics 2020-06-08 Yuan Yao

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…

Quantized Thouless pumps in periodic systems, set by Chern numbers or Wannier-center winding, is by now fairly well established, whereas its quasi-periodic extensions still require further clarification. Here, we develop a general…

Strongly Correlated Electrons · Physics 2026-05-07 Zixun Xu , Yuan Yao

The Thouless pump, a cornerstone of topological physics, enables unidirectional quantized wave/particle transport via geometric Berry phase engineering in periodically driven systems. While decades of research have been dedicated to…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Qingyang Mo , Shanjun Liang , Xiangke Lan , Jie Zhu , Shuang Zhang

We investigate charge pumping in the vicinity of order-obstructed topological phases, i.e. symmetry protected topological phases masked by spontaneous symmetry breaking in the presence of strong correlations. To explore this, we study a…

Strongly Correlated Electrons · Physics 2021-01-27 Jacob Marks , Michael Schüler , Jan C. Budich , Thomas P. Devereaux

The higher dimensional quantum Hall liquid constructed recently supports stable topological membrane excitations. Here we introduce a microscopic interacting Hamiltonian and present its exact ground state wave function. We show that this…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Shou-Cheng Zhang

Nonlocal crystals are systems with translational symmetry but arbitrary range couplings or interactions between degrees of freedom. We argue that the notion of topology in such systems does not collapse to that in zero dimensions, as one…

Strongly Correlated Electrons · Physics 2025-06-13 Shu Hamanaka , Martina O. Soldini , Tsuneya Yoshida , Titus Neupert

Recently it has been proposed and experimentally demonstrated that a spin-orbit coupled multi-component gas in 1d lattice can be viewed as spinless gas in a synthetic 2d lattice with a magnetic flux. In this letter we consider interaction…

Quantum Gases · Physics 2015-09-02 Tian-Sheng Zeng , Ce Wang , Hui Zhai

Spin pumping consists in the injection of spin currents into a non-magnetic material due to the precession of an adjacent ferromagnet. In addition to the pumping of spin the precession always leads to pumping of heat, but in the presence of…

Mesoscale and Nanoscale Physics · Physics 2021-06-11 V. Fernández Becerra , Mircea Trif , Timo Hyart

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…

We consider a class of {\em quantum Hall topological insulators}: topologically nontrivial states with zero Chern number at finite magnetic field, in which the counter-propagating edge states are protected by a symmetry (spatial or spin)…

Strongly Correlated Electrons · Physics 2016-07-27 Maxim Kharitonov , Stefan Juergens , Björn Trauzettel

We study the topological properties of quantum states for the spinless particle hopping in a Mobius ladder. This system can be regarded as a molecular device possibly engineered from the aromatic Mobius annulenes, which enjoys a pseudo-spin…

Quantum Physics · Physics 2010-04-29 Nan Zhao , H. Dong , Shuo Yang , C. P. Sun

We analyse stationary current of the bosonic particles in the flux rhombic lattice connecting two particle reservoirs. For vanishing inter-particle interactions the current is shown to monotonically decrease as the flux is increased and…

Quantum Physics · Physics 2020-06-09 P. S. Muraev , A. R. Kolovsky

The effect of spatially modulated interaction on quantum phase transition in one-dimensional interacting spinless fermion system is theoretically investigated by exact diagonalization and density matrix renormalization group method. Our…

Strongly Correlated Electrons · Physics 2020-08-27 Zheng-Wei Zuo , Da-wei Kang , Liben Li

We study the quantum Hall plateau transition on rectangular tori. As the aspect ratio of the torus is increased, the two-dimensional critical behavior, characterized by a subthermodynamic number of topological states in a vanishing energy…

Disordered Systems and Neural Networks · Physics 2020-02-28 Matteo Ippoliti , R. N. Bhatt

Interaction driven topological phases can significantly enrich the class of topological materials and thus are of great importance. Here, we study the phase diagram of interacting spinless fermions filling the two-dimensional checkerboard…

Strongly Correlated Electrons · Physics 2018-11-27 Tian-sheng Zeng , W. Zhu , D. N. Sheng