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Helical Luttinger liquids, appearing at the edge of two-dimensional topological insulators, represent a new paradigm of one-dimensional systems, where peculiar quantum phenomena can be investigated. Motivated by recent experiments on charge…

介观与纳米尺度物理 · 物理学 2015-11-17 Alessio Calzona , Matteo Carrega , Giacomo Dolcetto , Maura Sassetti

We study the spin-dependent scattering of charge carriers in a magnetized one dimensional Luttinger liquid from a localized non-homogeneous magnetic field, which might be brought about by the stray field of magnetic tip near a uniform…

强关联电子 · 物理学 2013-02-15 M. A. N Araujo , J. Berakdar , V. K. Dugaev , V. R. Vieira

The helical edge states of time-reversal invariant two-dimensional topological insulators are protected against backscattering in idealized models. In more realistic scenarios with a shallow confining potential at the sample boundary,…

介观与纳米尺度物理 · 物理学 2022-11-09 Niels John , Adrian Del Maestro , Bernd Rosenow

We extend a recently developed "tangent fermion" method to discretize the Hamiltonian of a helical Luttinger liquid on a one-dimensional lattice, including two-particle backscattering processes that may open a gap in the spectrum. The…

强关联电子 · 物理学 2026-05-22 V. A. Zakharov , J. Sánchez Fernán , C. W. J. Beenakker

Elastic backscattering of electrons moving along the helical edge is prohibited by time-reversal symmetry (TRS). We demonstrate, however, that an ensemble of magnetic impurities may cause TRS-preserving quasi-elastic backscattering,…

介观与纳米尺度物理 · 物理学 2015-06-12 Vadim Cheianov , Leonid Glazman

We analyze the time evolution of spin-polarized electron wave packets injected into the edge states of a two-dimensional topological insulator. In the presence of electron interactions, the system is described as a helical Luttinger liquid…

介观与纳米尺度物理 · 物理学 2015-11-03 Alessio Calzona , Matteo Carrega , Giacomo Dolcetto , Maura Sassetti

We investigate electronic correlation effects on edge states of quantum spin-Hall insulators within the Kane-Mele-Hubbard model by means of quantum Monte Carlo simulations. Given the U(1) spin symmetry and time-reversal invariance, the…

强关联电子 · 物理学 2012-02-23 M. Hohenadler , F. F. Assaad

The properties of the strongly interacting edge states of two dimensional topological insulators in the presence of two particle backscattering are investigated. We find an anomalous behavior of the density-density correlation functions,…

强关联电子 · 物理学 2015-11-18 N. Traverso Ziani , F. Crépin , B. Trauzettel

When a local potential changes abruptly in time, an electron gas shifts to a new state which at long times is orthogonal to the one in the absence of the local potential. This is known as Anderson's orthogonality catastrophe and it is…

强关联电子 · 物理学 2009-04-08 Gregory A. Fiete

We examine the scattering behavior from a single non magnetic impurity in a helical liquid. A helical liquid is a one dimensional system with a pair of counter propagating edge states, which are time reversal partners. In the absence of a…

介观与纳米尺度物理 · 物理学 2012-01-31 Natalie Lezmy , Yuval Oreg , Micha Berkooz

We study the behavior of Heisenberg, antiferromagnetic, integer-spin chains in the presence of a magnetic field exceeding the attendant spin gap. For temperatures much smaller than the gap, the spin chains exhibit Luttinger liquid behavior.…

强关联电子 · 物理学 2009-11-07 Robert M. Konik , Paul Fendley

We theoretically investigate the tunneling spectroscopy of a system of two parallel one-dimensional helical conductors in the interacting, Luttinger liquid regime. We calculate the non-linear differential conductance as a function of the…

介观与纳米尺度物理 · 物理学 2018-09-26 Bernd Braunecker , Pascal Simon

We report on the observation of a helical Luttinger-liquid in the edge of InAs/GaSb quantum spin Hall insulator, which shows characteristic suppression of conductance at low temperature and low bias voltage. Moreover, the conductance shows…

The weakly interacting helical Luttinger liquid, due to spin momentum locking, is characterized by extremely peculiar local observables: we show that the density-density correlation functions do not exhibit signatures of Friedel and Wigner…

介观与纳米尺度物理 · 物理学 2017-04-27 N. Traverso Ziani , C. Fleckenstein , F. Crépin , B. Trauzettel

Boundary helical Luttinger liquid (HLL) with broken bulk time-reversal symmetry belongs to a unique topological class which may occur in antiferromagnets (AFM). Here, we search for signatures of HLL on the edge of a recently discovered…

The gapless edge modes of the Quantum Spin Hall insulator form a helical liquid in which the direction of motion along the edge is determined by the spin orientation of the electrons. In order to probe the Luttinger liquid physics of these…

介观与纳米尺度物理 · 物理学 2014-04-14 Romain Vasseur , Joel E. Moore

We discuss the properties of a strongly interacting spin-charge separated one dimensional system coupled to ferromagnets and/or superconductors. Our results are valid for arbitrary temperatures with respect to the spin energy, but require…

强关联电子 · 物理学 2009-03-19 Dagim Tilahun , Gregory A. Fiete

We develop a theory for manipulating the effective band structure of interacting helical edge states realized on the boundary of two-dimensional time-reversal symmetric topological insulators. For sufficiently strong interaction, an…

强关联电子 · 物理学 2021-11-24 Yang-Zhi Chou , Jennifer Cano , J. H. Pixley

We propose a three terminal spin polarized stm setup for probing the helical nature of the Luttinger liquid edge state that appears in the quantum spin Hall system. We show that the three-terminal tunneling conductance strongly depends on…

介观与纳米尺度物理 · 物理学 2011-08-09 Sourin Das , Sumathi Rao

The optical theorem relates the total scattering cross-section of a given structure with its forward scattering, but does not impose any restrictions on other directions. Strong backward-forward asymmetry in scattering could be achieved by…

其他凝聚态物理 · 物理学 2016-11-22 Vitali Kozlov , Dmitry Filonov , Alexander S. Shalin , Ben Z. Steinberg , Pavel Ginzburg
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