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This paper concerns the inverse scattering problem of a topologically non-trivial waveguide separating two-dimensional topological insulators. We consider the specific model of a Dirac system. We show that a short-range perturbation can be…

Mathematical Physics · Physics 2026-05-20 Guillaume Bal , Xixian Wang , Zhongjian Wang

We study the dc conductivity of a weakly disordered 2d Dirac electron gas with two bands and two spectral nodes, employing a field theoretical version of the Kubo--Greenwood conductivity formula. In this paper we are concerned with the…

Strongly Correlated Electrons · Physics 2018-08-02 Andreas Sinner , Klaus Ziegler

The diagrammatic approach is applied to study quasiparticle transport properties in two-dimensional d-wave superconductors with dilute nonmagnetic impurities both in Born and in unitary limits. It is found that a novel quantum interference…

Superconductivity · Physics 2009-11-07 Y. H. Yang , D. Y. Xing , M. Liu , Y. G. Wang

Quantum transport in three-dimensional massless Dirac electron system with long-range Gaussian impurities is studied theoretically using a self-consistent Born approximation (SCBA). We find that the conductivity significantly changes the…

Disordered Systems and Neural Networks · Physics 2014-02-25 Yuya Ominato , Mikito Koshino

Magnetoresistance in many samples of Dirac semimetal and topological insulator displays non-monotonic behaviors over a wide range of magnetic field. Here a formula of magnetoconductivity is presented for massless and massive Dirac fermions…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Bo Fu , Huan-Wen Wang , Shun-Qing Shen

The interplay between disorder and quantum interference leads to a wide variety of physical phenomena including celebrated Anderson localization -- the complete absence of diffusive transport due to quantum interference between different…

Disordered Systems and Neural Networks · Physics 2025-02-21 Jonathan B. Curtis , Prineha Narang , Victor Galitski

The weak localization effect on a linear absorption spectrum is investigated for disordered s-wave superconductors. The vertex correction is incorporated into the response function in a way that is consistent with the weak localization…

Superconductivity · Physics 2020-12-14 Takanobu Jujo

We compute the quantum correction due to weak localization for transport properties of disordered quasi-one-dimensional conductors, by integrating the Dorokhov-Mello-Pereyra-Kumar equation for the distribution of the transmission…

Condensed Matter · Physics 2007-05-23 C. W. J. Beenakker

We explore the scattering of Dirac electrons in a double-gated topological insulator in the presence of magnetic proximity effects and warped surface states. It is found that a magnetic field can shift the Dirac cone in momentum space and…

Mesoscale and Nanoscale Physics · Physics 2019-08-13 Masomeh Arabikhah , Alireza Saffarzadeh

We study the effects of quantum fluctuations on the transport properties of multiband superconductors near a pair-breaking quantum critical point. For this purpose, we consider a minimal model of the quantum phase transition in a system…

Superconductivity · Physics 2023-11-28 Maxim Dzero , Maxim Khodas , Alex Levchenko

The conductance of a quantum wire with off-diagonal disorder that preserves a sublattice symmetry (the random hopping problem with chiral symmetry) is considered. Transport at the band center is anomalous relative to the standard problem of…

Disordered Systems and Neural Networks · Physics 2009-10-31 Christopher Mudry , P. W. Brouwer , Akira Furusaki

Motivated by the observation of light surface states in SmB6, we examine the effects of surface Kondo breakdown in topological Kondo insulators. We present both numerical and analytic results which show that the decoupling of the localized…

Strongly Correlated Electrons · Physics 2015-05-06 Victor Alexandrov , Piers Coleman , Onur Erten

In Kondo insulator samarium hexaboride SmB$_6$, strong correlation and band hybridization lead to an insulating gap and a diverging resistance at low temperature. The resistance divergence ends at about 5 Kelvin, a behavior recently…

Strongly Correlated Electrons · Physics 2015-05-13 G. Li , Z. Xiang , F. Yu , T. Asaba , B. Lawson , P. Cai , C. Tinsman , A. Berkley , S. Wolgast , Y. S. Eo , Dae-Jeong Kim , C. Kurdak , J. W. Allen , K. Sun , X. H. Chen , Y. Y. Wang , Z. Fisk , Lu Li

We study the quantum diffusive transport of multivalley massive Dirac cones, where time-reversal symmetry requires opposite spin orientations in inequivalent valleys. We show that the intervalley scattering and intravalley scattering can be…

Mesoscale and Nanoscale Physics · Physics 2013-01-09 Hai-Zhou Lu , Wang Yao , Di Xiao , Shun-Qing Shen

We investigate the effects of magnetic and nonmagnetic impurities on the two-dimensional surface states of three-dimensional topological insulators (TIs). Modeling weak and strong TIs using a generic four-band Hamiltonian, which allows for…

Mesoscale and Nanoscale Physics · Physics 2016-02-26 Andreas Pieper , Holger Fehske

Ballistic transport of helical edge modes in two-dimensional topological insulators is protected by time-reversal symmetry. Recently it was pointed out [1] that coupling of non-interacting helical electrons to an array of randomly…

Mesoscale and Nanoscale Physics · Physics 2015-12-31 O. M. Yevtushenko , A. Wugalter , V. I. Yudson , B. L. Altshuler

In band insulators, where the Fermi surface is absent, adiabatic transport is allowed only due to the geometry of the Hilbert space. By driving the system at a small but finite frequency $\omega$, transport is still expected to depend…

Mesoscale and Nanoscale Physics · Physics 2024-08-01 Ilia Komissarov , Tobias Holder , Raquel Queiroz

The electronic transport experiments on topological insulators exhibit a dilemma. A negative cusp in magnetoconductivity is widely believed as a quantum transport signature of the topological surface states, which are immune from…

Mesoscale and Nanoscale Physics · Physics 2014-04-09 Hai-Zhou Lu , Shun-Qing Shen

We propose a new type of topological surface modes having cubic dispersion in three-dimensional topological superconductors. Lower order dispersions are prohibited by the threefold rotational symmetry and time-reversal symmetry. Cooper…

Mesoscale and Nanoscale Physics · Physics 2015-04-21 Chen Fang , B. Andrei Bernevig , Matthew J. Gilbert

HgTe quantum wells and surfaces of three-dimensional topological insulators support Dirac fermions with a single-valley band dispersion. In the presence of disorder they experience weak antilocalization, which has been observed in recent…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 G. Tkachov , E. M. Hankiewicz