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The conductance of graphene subject to a strong, tilted magnetic field exhibits a dramatic change from insulating to conducting behavior with tilt-angle, regarded as evidence for the transition from a canted antiferromagnetic (CAF) to a…

Strongly Correlated Electrons · Physics 2016-03-30 Pavel Tikhonov , Efrat Shimshoni , H. A. Fertig , Ganpathy Murthy

We present the numerical solution of the renormalization group (RG) equations derived in Ref. [1], for the problem of superconductivity in the presence of both electron-electron and electron-phonon coupling at zero temperature. We study the…

Superconductivity · Physics 2007-10-30 S. -W. Tsai , A. H. Castro Neto , R. Shankar , D. K. Campbell

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…

Mesoscale and Nanoscale Physics · Physics 2015-11-17 Alessio Calzona , Matteo Carrega , Giacomo Dolcetto , Maura Sassetti

We have applied the Numerical Renormalization Group method to study a mesoscopic system consisting of two samples of metal separated by an insulating barrier, with nanometer dimensions, which allows the tunnelling of a single electron from…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. O. Frota

We consider a spin-1/2 fermionic ladder with spin-orbit coupling and a perpendicular magnetic field, which shares important similarities with topological superconducting wires. We fully characterize the symmetry-protected topological phase…

Quantum Gases · Physics 2015-10-02 Leonardo Mazza , Monika Aidelsburger , Hong-Hao Tu , Nathan Goldman , Michele Burrello

We explain how (perturbed) boundary conformal field theory allows us to understand the tunneling of edge quasiparticles in non-Abelian topological states. The coupling between a bulk non-Abelian quasiparticle and the edge is due to resonant…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

Topological edge states are the core of topological photonics. Here we introduce the antihelical edge states of time-reversal symmetric topological metals and propose a photonic realization in an anisotropic square lattice of coupled ring…

Mesoscale and Nanoscale Physics · Physics 2023-02-27 L. C. Xie , L. Jin , Z. Song

Current Luttinger liquid edge state theories for filling $\nu=2/3$ predict a non-universal Hall conductance, in disagreement with experiment. Upon inclusion of random edge tunnelling we find a phase transition into a new…

Condensed Matter · Physics 2009-10-22 C. L. Kane , M. P. A. Fisher , J. Polchinski

We present a novel theoretical approach to incorporate electronic interactions in the study of two-dimensional topological insulators. By exploiting the correspondence between edge state physics and entanglement spectrum in gapped…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Marcela Derli , E. Novais

Inverted HgTe/CdTe quantum wells have been used as a platform for the realization of 2D topological insulators, bulk insulator materials with spin-helical metallic edges states protected by time-reversal symmetry. This work investigates the…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Dimy Nanclares , Leandro R. F. Lima , Caio H. Lewenkopf , Luis G. G. V. Dias da Silva

A two dimensional topological insulator exhibits helical edge states topologically protected against single particle backscattering. Such protection breaks down, however, when electron electron interactions are significant or when edge…

Materials Science · Physics 2023-03-13 Huimin Zhang , Qiang Zou , Lian Li

In this paper, we discuss the topological and transport properties of binary heterostructures of different topological materials. Using the Su-Schrieffer-Heeger model and the method of Green's functions, we calculate and characterize the…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 R. Pineda , W. J. Herrera

Theoretically, the helical edge states of two-dimensional topological insulators are protected from coherent backscattering due to nonmagnetic disorder provided electron interactions are not too strong. Experimentally, the edges typically…

Mesoscale and Nanoscale Physics · Physics 2021-11-08 A. V. Bubis , N. N. Mikhailov , S. A. Dvoretsky , A. G. Nasibulin , E. S. Tikhonov

The joint action of a synthetic gauge potential and of atomic contact repulsion in a one-dimensional alkaline-earth(-like) fermionic gas with nuclear spin I leads to the existence of a hierarchy of fractional insulating and conducting…

Quantum Gases · Physics 2015-10-28 S. Barbarino , L. Taddia , D. Rossini , L. Mazza , R. Fazio

We (re) consider in this paper the problem of tunneling through an impurity in a quantum wire with arbitrary Luttinger interaction parameter. By combining the integrable approach developed in the case of Quantum Hall edge states with the…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koutouza , F. Siano , H. Saleur

We propose a nonperturbative renormalization-group (NPRG) approach to fermion systems in the two-particle-irreducible (2PI) effective action formalism, based on an exact RG equation for the Luttinger-Ward functional. This approach enables…

Strongly Correlated Electrons · Physics 2014-01-27 N. Dupuis

We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as well as long-range hopping. The system is…

Quantum Physics · Physics 2016-04-04 Tony E. Lee

We theoretically study tunneling of Cooper pairs from a superconductor spanning a two-dimensional topological insulator strip into its helical edge states. The coherent low-energy electron-pair tunneling sets off positive current cross…

Mesoscale and Nanoscale Physics · Physics 2010-12-06 Koji Sato , Daniel Loss , Yaroslav Tserkovnyak

We have measured the low temperature conductance of a one-dimensional island embedded in a single mode quantum wire. The quantum wire is fabricated using the cleaved edge overgrowth technique and the tunneling is through a single state of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. M. Auslaender , A. Yacoby , R. de Picciotto , K. W. Baldwin , L. N. Pfeiffer , K. W. West

We study theoretically the transport of the one-dimensional single-channel interacting electron gas through a strong potential barrier in the parameter regime where the spin sector of the low-energy Luttinger liquid theory is gapped by…

Strongly Correlated Electrons · Physics 2018-03-07 N. Kainaris , S. T. Carr , A. D. Mirlin