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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…

Mesoscale and Nanoscale Physics · Physics 2015-09-28 Tingxin Li , Pengjie Wang , Hailong Fu , Lingjie Du , Kate A. Schreiber , Xiaoyang Mu , Xiaoxue Liu , Gerard Sullivan , Gábor A. Csáthy , Xi Lin , Rui-Rui Du

Quantum spin liquids (QSLs) are highly entangled ground states of insulating spin systems, in which magnetic ordering is prevented down to the lowest temperatures due to quantum fluctuations. One of the most extraordinary characteristics of…

Strongly Correlated Electrons · Physics 2024-01-22 So Takei , Yaroslav Tserkovnyak

Domain walls in fractional quantum Hall ferromagnets are gapless helical one-dimensional channels formed at the boundaries of topologically distinct quantum Hall (QH) liquids. Na\"{i}vely, these helical domain walls (hDWs) constitute two…

Mesoscale and Nanoscale Physics · Physics 2021-09-23 Ying Wang , Vadim Ponomarenko , Kenneth W. West , Kirk Baldwin , Loren N. Pfeiffer , Yuli Lyanda-Geller , Leonid P. Rokhinson

We reconsider the spectrum of the Luttinger liquid (LL) usually understood in terms of phonons (density fluctuations), and within the context of bosonization we give an alternative representation in terms of fractional states. This allows…

Strongly Correlated Electrons · Physics 2009-10-31 K. -V. Pham , M. Gabay , P. Lederer

The Luttinger liquid model, which describes interacting electrons in a single-channel quantum wire, is completely integrable in the absence of disorder and as such does not exhibit any relaxation to equilibrium. We consider relaxation…

Mesoscale and Nanoscale Physics · Physics 2008-09-09 D. A. Bagrets , I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

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.…

Strongly Correlated Electrons · Physics 2009-11-07 Robert M. Konik , Paul Fendley

Exactly solvable Hamiltonians with spin liquid ground states have proven to be extremely useful, not only because they unambiguously demonstrate that these phases can arise in systems of interacting spins but also as a pedagogical…

Strongly Correlated Electrons · Physics 2025-09-09 Leyna Shackleton , Mathias S. Scheurer

In one-dimensional (1D) systems, electronic interactions lead to a breakdown of Fermi liquid theory and the formation of a Tomonaga-Luttinger Liquid (TLL). The strength of its many-body correlations can be quantified by a single…

We study tunneling between two nearby cleaved edge quantum wires in a perpendicular magnetic field. Due to Coulomb forces between electrons, the wires form a strongly-interacting pair of Luttinger liquids. We calculate the low-temperature…

Strongly Correlated Electrons · Physics 2009-11-07 D. Carpentier , C. Peca , L. Balents

The edge states of the recently proposed quantum spin Hall systems constitute a new symmetry class of one-dimensional liquids dubbed the ``helical liquid'', where the spin orientation is determined by the direction of electron motion. We…

Other Condensed Matter · Physics 2007-05-23 Congjun Wu , B. Andrei Bernevig , Shou-Cheng Zhang

We theoretically investigate the charge noise and dephasing in a metallic device in close proximity to a spin incoherent Luttinger liquid with a small but finite current. The frequency dependence of the charge noise exhibits a loss of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Markus Kindermann

We develop a general framework to compute the scaling of entanglement entropy in inhomogeneous one-dimensional quantum systems belonging to the Luttinger liquid universality class. While much insight has been gained in homogeneous systems…

Statistical Mechanics · Physics 2020-03-26 Alvise Bastianello , Jérôme Dubail , Jean-Marie Stéphan

We discuss the nature of the different ground states of the half-filled Holstein model of spinless fermions in 1D. In the metallic regime we determine the renormalised effective coupling constant and the velocity of the charge excitations…

Strongly Correlated Electrons · Physics 2007-05-23 H. Fehske , G. Wellein , G. Hager , A. Weisse , K. W. Becker , A. R. Bishop

In this thesis we present contributions in the field of the applications of quantum field theories techniques to condensed matter models. In chapter 3 we investigate on the non covariant fermionic determinant and its connection to Luttinger…

Strongly Correlated Electrons · Physics 2007-05-23 Anibal Iucci

We discuss the properties of quasi-1D quantum gases of fermionic atoms using the Luttinger liquid theory, including the presence of an optical lattice and of a longitudinal trapping potential. We analyze in particular the nature and…

Strongly Correlated Electrons · Physics 2018-03-14 A. Recati , P. O. Fedichev , W. Zwerger , P. Zoller

A novel method for detecting Luttinger-liquid behavior is proposed. The idea is to measure the tunneling conductance between a quantum wire and a parallel two-dimensional electron system as a function of both the potential difference…

Strongly Correlated Electrons · Physics 2009-10-31 Alexander Altland , C. H. W. Barnes , F. W. J. Hekking , A. J. Schofield

Quantum spin liquids are fascinating phases of matter, hosting fractionalized spin excitations and unconventional long-range quantum entanglement. These exotic properties, however, also render their experimental characterization…

Strongly Correlated Electrons · Physics 2022-09-20 Wilhelm Kadow , Laurens Vanderstraeten , Michael Knap

We investigate the generic transport in a one-dimensional strongly correlated fermionic chain beyond linear response. Starting from a Gaussian wave packet with positive momentum on top of the ground state, we find that the numerical time…

Strongly Correlated Electrons · Physics 2025-07-24 Flávia B. Ramos , Rodrigo G. Pereira , Sebastian Eggert , Imke Schneider

Gapless Luttinger liquid is conventionally viewed as topologically trivial, unless it hosts degenerate ground states and or entanglement spectrum, which necessitates partial bulk degree of freedom to be gapped out. Here we predict an…

Strongly Correlated Electrons · Physics 2021-07-27 Sen Niu , Yucheng Wang , Xiong-Jun Liu

It has been shown recently that local four-fermion interactions on the edges of two-dimensional time-reversal-invariant topological insulators give rise to a new non-Fermi-liquid phase, called helical Luttinger liquid (HLL). In this work,…

Mesoscale and Nanoscale Physics · Physics 2017-10-27 N. Menezes , Giandomenico Palumbo , C. Morais Smith
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