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A topological insulator and its spin analogue as a gapped spin liquid have characteristic low energy excitations (edge states) within the gap when the systems have boundaries. This is the bulk-edge correspondence, which implies that the…

强关联电子 · 物理学 2009-05-12 Mitsuhiro Arikawa , Shou Tanaya , Isao Maruyama , Yasuhiro Hatsugai

Recent experimental advances have uncovered fractional Chern insulator (FCI) states in twisted MoTe$_2$ (tMoTe$_2$) systems under zero magnetic field. Understanding the interaction effects on topological phases within realistic model…

强关联电子 · 物理学 2026-02-03 Jialin Chen , Qiaoyi Li , Xiaoyu Wang , Wei Li

The relation between d-wave superconductivity and stripes is fundamental to the understanding of ordered phases in cuprates. While experimentally both phases are found in close proximity, numerical studies on the related Fermi-Hubbard model…

Topological insulators are noninteracting, gapped fermionic systems which have gapless boundary excitations. They are characterized by topological invariants, which can be written in many different ways, including in terms of Green's…

介观与纳米尺度物理 · 物理学 2011-09-29 Andrew M. Essin , Victor Gurarie

Characterizing topological phases for strongly interacting fermions in the mixed-state regime remains a major challenge. Here we introduce a general and numerically efficient framework to diagnose mixed-state topological phases in strongly…

强关联电子 · 物理学 2025-11-25 Shao-Hang Shi , Xiao-Qi Sun , Zi-Xiang Li

Inducing topological transitions by a time-periodic perturbation offers a route to controlling the properties of materials. Here we show that the adiabatic preparation of a non-trivial state involves a selective population of edge-states,…

量子物理 · 物理学 2016-12-28 Lorenzo Privitera , Giuseppe E. Santoro

We study the topological properties of the two-body bound states in an interacting Haldane model as a function of interparticle interactions. In particular, we identify topological phases where the two-body edge states have either the same…

量子气体 · 物理学 2018-02-01 Grazia Salerno , Marco Di Liberto , Chiara Menotti , Iacopo Carusotto

We study disorder effects in a two-dimensional system with chiral symmetry and find that disorder can induce a quadrupole topological insulating phase (a higher-order topological phase with quadrupole moments) from a topologically trivial…

介观与纳米尺度物理 · 物理学 2021-02-05 Yan-Bin Yang , Kai Li , L. -M. Duan , Yong Xu

Despite extensive studies on the one-dimensional Su-Schrieffer-Heeger-Hubbard (SSHH) model, the variant incorporating next-nearest neighbour hopping remains largely unexplored. Here, we investigate the ground-state properties of this…

强关联电子 · 物理学 2024-06-21 Pei-Jie Chang , Jinghui Pi , Muxi Zheng , Yu-Ting Lei , Dong Ruan , Gui-Lu Long

Correlations in topological states of matter provide a rich phenomenology, including a reduction in the topological classification of the interacting system compared to its non-interacting counterpart. This happens when two phases that are…

强关联电子 · 物理学 2020-07-01 Johannes S. Hofmann , Fakher F. Assaad , Raquel Queiroz , Eslam Khalaf

It is still an outstanding challenge to characterize and understand the topological features of strongly interacting states such as bound-states in interacting quantum systems. Here, by introducing a cotranslational symmetry in an…

量子气体 · 物理学 2017-11-17 Xizhou Qin , Feng Mei , Yongguan Ke , Li Zhang , Chaohong Lee

The appearance of topologically protected states at the surface of an ordinary insulator is a rare occurrence and to date only a handful of materials are known for having this property. An intriguing question concerns the possibility of…

介观与纳米尺度物理 · 物理学 2014-07-16 Igor Popov , Mauro Mantega , Awadhesh Narayan , Stefano Sanvito

Topological states of interacting many-body systems are at the focus of current research due to the exotic properties of their elementary excitations. In this paper we suggest a realistic experimental setup for the realization of a simple…

量子气体 · 物理学 2014-11-26 Fabian Grusdt , Michael Höning

Topological pumping of edge states in finite crystals or quasicrystals with non-trivial topological phases provides a powerful means for robust excitation transfer. In most schemes of topological pumping, the edge states become delocalized…

量子物理 · 物理学 2021-02-19 Stefano Longhi

We propose a set of schemes to create and probe fractionally charged excitations of a fractional Chern insulator state in an optical lattice. This includes the creation of localized quasiparticles and quasiholes using both static local…

量子气体 · 物理学 2019-01-03 Mantas Račiūnas , F. Nur Ünal , Egidijus Anisimovas , André Eckardt

Gated heterostructures containing bilayer graphene with staggered sublattice potentials are investigated by tight binding model with Rashba spin-orbital coupling and Hubbard interaction. The topological phase diagrams depend on the…

介观与纳米尺度物理 · 物理学 2018-09-05 Ma Luo , Zhibing Li

In this work we explore experimental signatures of fractional topological insulators in three dimensions. These are states of matter with a fully gapped bulk that host exotic gapless surface states and fractionally charged quasiparticles.…

强关联电子 · 物理学 2013-05-30 Brian Swingle

As first demonstrated by the characterization of the quantum Hall effect by the Chern number, topology provides a guiding principle to realize robust properties of condensed matter systems immune to the existence of disorder. The…

介观与纳米尺度物理 · 物理学 2023-08-01 Kazuki Sone , Motohiko Ezawa , Yuto Ashida , Nobuyuki Yoshioka , Takahiro Sagawa

Topological insulators are a novel state of matter that share a common feature: their spectral bands are associated with a nonlocal integer-valued index, commonly manifesting through quantized bulk phenomena and robust boundary effects. In…

介观与纳米尺度物理 · 物理学 2020-07-01 Ioannis Petrides , Oded Zilberberg

Knowledge of the topology of the electronic ground state of materials has led to deep insights to novel phenomena such as the integer quantum Hall effect and fermion-number fractionalization, as well as other properties of matter. Joining…

介观与纳米尺度物理 · 物理学 2017-08-18 Ting Cao , Fangzhou Zhao , Steven G. Louie