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Using the adiabatic switching of interactions, we establish a condition for the existence of electronic quasiparticles in a Luttinger liquid. It involves a characteristic interaction strength proportional to the inverse square root of the…

Condensed Matter · Physics 2009-10-22 R. Mélin , B. Douçot , P. Butaud

The one-dimensional (1D) Yang-Gaudin model-an integrable $\delta$-function interacting Fermi gas, serves as a paradigm in quantum many-body physics, encompassing phenomena from spin-charge separation to the Luther-Emery liquid. However, a…

Quantum Gases · Physics 2026-03-17 Hai-Ying Cui , Yu-Hao Yeh , Randall G. Hulet , Han Pu , Thierry Giamarchi , Xi-Wen Guan

We present time-dependent density matrix renormalization group (DMRG) results for strongly interacting one dimensional fermionic systems at finite temperature. When interactions are strong the characteristic spin energy can be greatly…

Strongly Correlated Electrons · Physics 2010-02-18 A. E. Feiguin , G. A. Fiete

Elementary particles such as the electron carry several quantum numbers, for example, charge and spin. However, in an ensemble of strongly interacting particles, the emerging degrees of freedom can fundamentally differ from those of the…

In contrast to a free electron system, a Tomonaga-Luttinger (TL) liquid in a one dimensional (1D) electron system hosts charge and spin excitations as independent entities. When an electron wave packet is injected into a TL liquid, it…

Mesoscale and Nanoscale Physics · Physics 2017-04-11 Masayuki Hashisaka , Naoaki Hiyama , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

We consider a model of one dimensional spin-1 bosons with repulsive density-density interactions and antiferromagnetic exchange. We show that the low energy effective field theory is given by a spin-charge separated theory of a…

Other Condensed Matter · Physics 2009-11-13 F. H. L. Essler , G. V. Shlyapnikov , A. M. Tsvelik

We compute the spectral function rho(q,omega) of the one- dimensional Luttinger model. We discuss the distinct influences of charge-spin separation and of the anomalous dimensions of the fermion operators and their evolution with…

Condensed Matter · Physics 2019-06-05 Johannes Voit

We investigate tunneling between two spinful Tomonaga-Luttinger liquids (TLLs) realized, e.g., as two crossed nanowires or quantum Hall edge states. When injecting into each TLL one electron of opposite spin, the dc current measured after…

Mesoscale and Nanoscale Physics · Physics 2015-01-05 Alexander Schroer , Bernd Braunecker , Alfredo Levy Yeyati , Patrik Recher

In this work we discuss extensions of the pioneering analysis by Dzyaloshinskii and Larkin of correlation functions for one-dimensional Fermi systems, focusing on the effects of quasiparticle relaxation enabled by a nonlinear dispersion.…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Alex Levchenko , Tobias Micklitz

We give the details of the analysis for critical properties of spin-gap phases in one-dimensional lattice electron models. In the Tomonaga-Luttinger (TL) liquid theory, the spin-gap instability occurs when the backward scattering changes…

Strongly Correlated Electrons · Physics 2009-10-31 Masaaki Nakamura , Atsuhiro Kitazawa , Kiyohide Nomura

We propose a new approach to investigate the spin-charge separation in 1D quantum liquids via the optomechanical coupled atom-cavity system. We show that, one can realize an effective two-modes optomechanical model with the spin/charge…

Quantum Gases · Physics 2011-12-06 Qing Sun , W. M. Liu , An-Chun Ji

Recent success in manipulating ultra-cold atomic systems allows to probe different strongly correlated regimes in one-dimension. Regimes such as the (spin-coherent) Luttinger liquid and the spin-incoherent Luttinger liquid can be realized…

Other Condensed Matter · Physics 2008-12-15 Paata Kakashvili , S. G. Bhongale , Han Pu , C. J. Bolech

The general 2-dimensional fermion system with repulsive interactions (typified by the Hubbard Model) is bosonized, taking into account the finite on-shell forward scattering phase shift derived in earlier papers. By taking this phase shift…

Condensed Matter · Physics 2009-10-28 P. W. Anderson , D. Khveshchenko

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…

Strongly Correlated Electrons · Physics 2009-03-19 Dagim Tilahun , Gregory A. Fiete

We show that the periodic modulation of the Hamiltonian parameters for 1D correlated fermionic systems can be used to parametrically amplify their bosonic collective modes. Treating the problem within the Luttinger liquid picture, we show…

Quantum Gases · Physics 2010-03-03 Christian D. Graf , Guillaume Weick , Eros Mariani

We show that one of the key characteristics of interacting one-dimensional electronic quantum systems, the separation of spin and charge, can be observed in a two-component system of bosonic ultracold atoms even close to a competing phase…

Other Condensed Matter · Physics 2008-03-01 A. Kleine , C. Kollath , I. McCulloch , T. Giamarchi , U. Schollwoeck

Spin-charge separation is a hallmark of one-dimensional fermionic systems, yet its realization in higher dimensions remains an open question. To address this issue, we investigate a two-leg t-J ladder using the density matrix…

Strongly Correlated Electrons · Physics 2026-05-12 Luhang Yang , Elbio Dagotto

A novel approach, the fermion-spin transformation to implement the charge-spin separation, is developed to study the low-dimensional $t$-$J$ model. In this approach, the charge and spin degrees of freedom of the physical electron are…

Condensed Matter · Physics 2009-10-22 Shiping Feng , Z. B. Su , L. Yu

We present an extension of the Tomonaga-Luttinger model in which left and right-moving particles have different Fermi velocities. We derive expressions for one-particle Green's functions, momentum-distributions, density of states, charge…

Strongly Correlated Electrons · Physics 2016-08-16 Victoria I. Fernández , Aníbal Iucci , Carlos M. Naón

Many one--dimensional quantum systems, in particular interacting electron and spin systems, can be described a Luttinger liquids. Here, some basic ideas of this picture of one--dimensional systems are briefly reviewed. I then discuss the…

Condensed Matter · Physics 2009-10-28 H. J. Schulz