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We provide a characterization of tunneling between coupled topological insulators in 2D and 3D under the influence of a ferromagnetic layer. We explore conditions for such systems to exhibit integer quantum Hall physics and localized…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Qinglei Meng , Smitha Vishveshwara , Taylor L. Hughes

The fractional quantum Hall effect has recently been shown to exist in heterostructures of van der Waals materials without an externally applied magnetic field, e.g. in twisted bilayers of MoTe$_2$. These fractional Chern insulators break…

Strongly Correlated Electrons · Physics 2025-09-23 Sahana Das , Glenn Wagner , Titus Neupert

We have studied the tachyonic excitations in the junction of two topological insulators in the presence of an external magnetic field. The Landau levels, evaluated from an effective two-dimensional model for tachyons, and from the junction…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Vadim M. Apalkov , Tapash Chakraborty

The axion insulator exhibits a topological magnetoelectric effect characterized by an axion angle $\theta=\pi$, while the time-reversal-doubled axion insulator (T-DAXI) can be viewed as two copies of an axion insulator related by…

Materials Science · Physics 2026-03-03 Yue Xie , Haohao Sheng , Quansheng Wu , Xi Dai , Zhong Fang , Hongming Weng , Zhijun Wang

Topological phases of matter are described universally by topological field theories in the same way that symmetry-breaking phases of matter are described by Landau-Ginzburg field theories. We propose that topological insulators in two and…

Strongly Correlated Electrons · Physics 2015-03-17 Gil Young Cho , Joel E. Moore

Spectral measurements of boundary localized in-gap modes are commonly used to identify topological insulators via the bulk-boundary correspondence. This can be extended to high-order topological insulators for which the most striking…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Christopher W. Peterson , Tianhe Li , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

Topological insulators have been proposed to be best characterized as bulk magnetoelectric materials that show response functions quantized in terms of fundamental physical constants. Here we lower the chemical potential of…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Liang Wu , M. Salehi , N. Koirala , J. Moon , S. Oh , N. P. Armitage

Making use of index theorem and spin Chern Simons theory, we construct an effective topological field theory of strongly correlated topological insulators coupling to a nonabelian gauge field $ SU(N) $ with an interaction constant $ g $ in…

Strongly Correlated Electrons · Physics 2011-06-01 K. -S. Park , H. Han

Protected by the chiral symmetry, three dimensional chiral topological insulators are characterized by an integer-valued topological invariant. How this invariant could emerge in physical observables is an important question. Here we show…

Mesoscale and Nanoscale Physics · Physics 2015-01-08 Sheng-Tao Wang , Dong-Ling Deng , Joel E. Moore , Kai Sun , Lu-Ming Duan

Motivated by the recent experimental realization of the half-quantized Hall effect phase in a three-dimensional (3D) semi-magnetic topological insulator [M. Mogi et al., Nature Physics 18, 390 (2022)], we propose a scheme for realizing the…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Fang Qin , Ching Hua Lee , Rui Chen

We discuss detection strategies for fractional topological insulators (FTIs) realizing time-reversal invariant analogues of fractional quantum Hall systems in the Laughlin universality class. Focusing on transport measurements, we study the…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 B. Béri , N. R. Cooper

The recently discovered three dimensional or bulk topological insulators are expected to exhibit exotic quantum phenomena. It is believed that a trivial insulator can be twisted into a topological state by modulating the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2011-10-24 Su-Yang Xu , Y. Xia , L. A. Wray , D. Qian , Shuang Jia , J. H. Dil , F. Meier , J. Osterwalder , B. Slomski , H. Lin , R. J. Cava , M. Z. Hasan

Topological insulators are a broad class of unconventional materials that are insulating in the interior but conduct along the edges. This edge transport is topologically protected and dissipationless. Until recently, all existing…

We give a holographic realization of the recently proposed low energy effective action describing a fractional topological insulator. In particular we verify that the surface of this hypothetical material supports a fractional quantum Hall…

High Energy Physics - Theory · Physics 2014-11-21 Carlos Hoyos-Badajoz , Kristan Jensen , Andreas Karch

The coupled-wires approach has been shown to be useful in describing two-dimensional strongly interacting topological phases. In this manuscript we extend this approach to three-dimensions, and construct a model for a fractional strong…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Eran Sagi , Yuval Oreg

Recently two fundamental topological properties of a magnetic vortex at the interface of a superconductor (SC) and a strong topological insulator (TI) have been established: the vortex carries both a Majorana zero-mode relevant for…

Superconductivity · Physics 2018-11-30 Flavio S. Nogueira , Zohar Nussinov , Jeroen van den Brink

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.…

Strongly Correlated Electrons · Physics 2013-05-30 Brian Swingle

In the presence of crystalline symmetry, topologically ordered states can acquire a host of symmetry-protected invariants. These determine the patterns of crystalline symmetry fractionalization of the anyons in addition to fractionally…

Strongly Correlated Electrons · Physics 2025-08-21 Ryohei Kobayashi , Yuxuan Zhang , Naren Manjunath , Maissam Barkeshli

We show that fully-localized, three-dimensional, time-reversal-symmetry-broken insulators do not belong to a single phase of matter but can realize topologically distinct phases that are labelled by integers. The phase transition occurs…

Mesoscale and Nanoscale Physics · Physics 2026-02-18 Bastien Lapierre , Titus Neupert , Luka Trifunovic

Fractional topological phases, such as the fractional quantum Hall state, usually rely on strong interactions to generate ground state degeneracy with gap protection and fractionalized topological response. Here, we propose a fractional…

Mesoscale and Nanoscale Physics · Physics 2025-07-30 Yi-Hong Chen , Si-Yuan Chen , Xin-Chi Zhou , Xiong-Jun Liu