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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…

Mesoscale and Nanoscale Physics · Physics 2015-11-03 Alessio Calzona , Matteo Carrega , Giacomo Dolcetto , Maura Sassetti

Strongly correlated transport of interacting electrons through the one-dimensional tunnel contact is considered within the Luttinger liquid model of one-dimensional electrodes on arbitrary time scales $ t> \hbar /\Lambda_{g} $. Using…

Strongly Correlated Electrons · Physics 2022-07-20 Taras Hutak , Gleb Skorobagatko

We revisit the $(1+1)$ dimensional field theoretical model, which describes the Tomonaga-Luttinger liquid (TLL), interacting with a static impurity at the origin of the half line. Applying the Fermi-Bose equivalence and finite conformal…

High Energy Physics - Theory · Physics 2016-01-05 Taejin Lee

We investigate the $T=0$ phase diagram of a variant of the one-dimensional extended Hubbard model where particles interact via a finite-range soft-shoulder potential. Using Density Matrix Renormalization Group (DMRG) simulations, we…

Strongly Correlated Electrons · Physics 2020-07-10 Thomas Botzung , Guido Pupillo , Pascal Simon , Roberta Citro , Elisa Ercolessi

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

One-dimensional Coulomb drag has been an essential tool to probe the physics of interacting Tomonaga-Luttinger liquids. To date, most experimental work has focused on the linear regime while the predictions for Luttinger liquids beyond the…

Mesoscale and Nanoscale Physics · Physics 2025-07-25 Mingyang Zheng , Rebika Makaju , Rasul Gazizulin , Alex Levchenko , Sadhvikas J. Addamane , Dominique Laroche

Non-equilibrium transport properties of charge and spin sector of two edges of a quantum spin Hall insulator are investigated theoretically in a four-terminal configuration. A simple duality relation between charge and spin sector is found…

Strongly Correlated Electrons · Physics 2015-05-19 Chao-Xing Liu , Jan Carl Budich , Patrik Recher , Bjoern Trauzettel

We present a detailed theoretical investigation of transport through a single-walled carbon nanotube (SWNT) in good contact to metal leads where weak backscattering at the interfaces between SWNT and source and drain reservoirs gives rise…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Patrik Recher , Na Young Kim , Yoshihisa Yamamoto

We propose ways to create and detect fractionally charged excitations in \emph{integer} quantum Hall edge states. The charge fractionalization occurs due to the Coulomb interaction between electrons propagating on different edge channels.…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. Berg , Y. Oreg , E. -A. Kim , F. von Oppen

The static topological fractional charge (TFC) in condensed matter systems is related to the band topology and thus has potential applications in topological quantum computation. However, the experimental measurement of these TFCs in…

Mesoscale and Nanoscale Physics · Physics 2022-08-29 Shu-guang Cheng , Yijia Wu , Hua Jiang , Qing-Feng Sun , X. C. Xie

Particle fractionalization is believed to orchestrate the physics of many strongly correlated systems, yet its direct experimental detection remains a challenge. We propose a simple measurement for an ultracold matter system, in which…

Quantum Gases · Physics 2019-02-18 Seth M. Davis , Matthew S. Foster

We investigate the low-energy collective charge excitations (plasmons, holons) in metallic atomic wires deposited on semiconducting substrates. These systems are described by two-dimensional correlated models representing strongly…

Strongly Correlated Electrons · Physics 2020-06-24 Eric Jeckelmann

We study the entanglement spectrum (ES) and entropy between two coupled Tomonaga-Luttinger liquids (TLLs) on parallel periodic chains. This problem gives access to the entanglement properties of various interesting systems, such as spin…

Strongly Correlated Electrons · Physics 2014-01-10 Rex Lundgren , Yohei Fuji , Shunsuke Furukawa , Masaki Oshikawa

The paradigmatic state of a 1D collective metal, the Tomonaga-Luttinger liquid (TLL), offers us an exact analytic solution for a strongly interacting quantum system not only for infinite systems at zero temperature but also at finite…

Strongly Correlated Electrons · Physics 2024-12-23 Naira Grigoryan , Piotr Chudzinski

The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling…

Strongly Correlated Electrons · Physics 2020-06-01 DinhDuy Vu , Anibal Iucci , Sankar Das Sarma

One remarkable feature of strongly correlated systems is the phenomenon of fractionalization where quasiparticles carry only a fraction of the charge or spin of the elementary constituents. Such quasiparticles often present anyonic…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Tom Morel , June-Young M. Lee , H. -S. Sim , Christophe Mora

We study the tunneling current between two counterpropagating edge modes described by chiral Luttinger liquids when the tunneling takes place along an extended region. We compute this current perturbatively by using a tunnel Hamiltonian.…

Other Condensed Matter · Physics 2009-11-11 M. Aranzana , N. Regnault , Th. Jolicoeur

It is well known that the pristine bulk of an interacting one-dimensional system in Tomonaga-Luttinger liquid (TLL) phase shows power law suppression of quasi-particle tunneling amplitude for all values of TLL parameter $g$, in the zero…

Strongly Correlated Electrons · Physics 2020-07-21 Monalisa Singh Roy , Manoranjan Kumar , Sourin Das

A theory of transport through semiconductor nanostructures in the fractional quantum Hall regime is proposed, based on a model of composite fermion edge states. Adiabatic and non-adiabatic constrictions and constrictions containing…

Condensed Matter · Physics 2009-10-28 George Kirczenow

Two- or three-dimensional metals are usually well described by weakly interacting, fermionic quasiparticles. This concept breaks down in one dimension due to strong Coulomb interactions. There, low-energy electronic excitations are expected…