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We evaluate the dynamic structure factor $S(q,\omega)$ of interacting one-dimensional spinless fermions with a nonlinear dispersion relation. The combined effect of the nonlinear dispersion and of the interactions leads to new universal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik , M. Khodas , A. Kamenev , L. I. Glazman

We calculate the dynamic structure factor S (omega, q) of spinless fermions in one dimension with quadratic energy dispersion k^2/2m and long range density-density interaction whose Fourier transform f_q is dominated by small…

Strongly Correlated Electrons · Physics 2008-08-15 Peyman Pirooznia , Florian Schuetz , Peter Kopietz

We consider one-dimensional (1D) interacting spinless fermions with a non-linear spectrum in a clean quantum wire (non-linear bosonization). We compute diagrammatically the 1D dynamical structure factor, $S(\om,q)$, beyond the Tomonaga…

Strongly Correlated Electrons · Physics 2007-05-23 Sofian Teber

We evaluate the dynamic structure factor $S(q,\omega)$ of a one-dimensional quantum Hamiltonian with the inverse-square interaction (Calogero-Sutherland model). For a fixed small $q$, the structure factor differs from zero in a finite…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik

We discuss Bragg scattering on both Bose and Fermi gases with strong short-range interactions in the deep inelastic regime of large wave vector transfer $q$, where the dynamic structure factor is dominated by a resonance near the…

Quantum Gases · Physics 2017-03-07 Johannes Hofmann , Wilhelm Zwerger

We consider one-dimensional (1D) spin-1/2 fermions in a clean quantum wire, with forward scattering interactions and a non-linear single-particle spectrum, $\xi_k = v|k| + k^2/2m$ where $v$ is the Fermi velocity and $1/m$ is the…

Strongly Correlated Electrons · Physics 2012-11-12 Sofian Teber

Combining quantum Monte Carlo simulations with the maximum entropy method, we study the dynamical structure factor $S(k,\omega)$ of spin-1/2 antiferromagnetic Heisenberg chains with various random bond distributions. We emphasize the…

Strongly Correlated Electrons · Physics 2011-02-03 Zhaoxin Xu , Heping Ying , Xin Wan

We study the dynamic response of a Fermi liquid in the spin, charge and nematic channels beyond the random phase approximation for the dynamically screened Coulomb potential. In all the channels, one-loop order corrections to the…

Strongly Correlated Electrons · Physics 2018-09-26 Vladimir A. Zyuzin , Prachi Sharma , Dmitrii L. Maslov

Universality of strongly interacting fermions is a topic of great interest in diverse fields. Here we investigate theoretically the universal dynamic density response of resonantly interacting ultracold Fermi atoms in the limit of either…

Quantum Gases · Physics 2013-09-03 Hui Hu , Xia-Ji Liu

We present measurements of the dynamical structure factor $S(q,\omega)$ of an interacting one-dimensional (1D) Fermi gas for small excitation energies. We use the two lowest hyperfine levels of the $^6$Li atom to form a pseudo-spin-1/2…

Atomic Physics · Physics 2018-09-12 T. L. Yang , P. Grišins , Y. T. Chang , Z. H. Zhao , C. Y. Shih , T. Giamarchi , R. G. Hulet

We theoretically investigate the static structure factor of an interacting Fermi gas near the BEC-BCS crossover at large momenta. Due to short-range two-body interactions, we predict that the structure factor of unlike spin correlations…

Quantum Gases · Physics 2010-08-25 Hui Hu , Xia-Ji Liu , Peter D. Drummond

The exact 2-spinon part of the dynamic spin structure factor $S_{xx}(Q,\omega)$ for the one-dimensional $s$=1/2 $XXZ$ model at $T$=0 in the antiferromagnetically ordered phase is calculated using recent advances by Jimbo and Miwa in the…

Condensed Matter · Physics 2009-10-30 A. Hamid Bougourzi , Michael Karbach , Gerhard Müller

The exact expression derived by Bougourzi, Couture, and Kacir for the 2-spinon contribution to the dynamic spin structure factor $S_{zz}(q,\omega)$ of he one-dimensional $S$=1/2 Heisenberg antiferromagnet at $T=0$ is evaluated for direct…

Condensed Matter · Physics 2009-10-28 Michael Karbach , Gerhard Müller , A. Hamid Bougourzi

Dynamical charge structure factor $N(Q,\omega)$ with $Q$ smaller than the Fermi wave number is derived analytically for the one-dimensional supersymmetric t-J model with $1/r^2$ interaction. Strong spin-charge separation in dynamics is…

Strongly Correlated Electrons · Physics 2009-10-31 Mitsuhiro Arikawa , Takashi Yamamoto , Yasuhiro Saiga , Yoshio Kuramoto

Strongly interacting one-dimensional (1D) Bose-Fermi mixtures form a tunable XXZ spin chain. Within the spin-chain model developed here, all properties of these systems can be calculated from states representing the ordering of the bosons…

Quantum Gases · Physics 2017-04-25 F. Deuretzbacher , D. Becker , J. Bjerlin , S. M. Reimann , L. Santos

We present an experimental investigation of the dynamic spin response of a strongly interacting Fermi gas using Bragg spectroscopy. By varying the detuning of the Bragg lasers, we show that it is possible to measure the response in the spin…

Quantum Gases · Physics 2012-08-06 S. Hoinka , M. Lingham , M. Delehaye , C. J. Vale

We show that the wave function of a one dimensional spinor gas with contact $s$-wave interaction, either bosonic or fermionic, can be mapped to the direct product of the wave function of a spinless Fermi gas with short-range $p$-wave…

Quantum Gases · Physics 2016-09-13 Li Yang , Han Pu

We study the dynamic response of a two-dimensional system of itinerant fermions in the vicinity of a uniform ($\mathbf{Q}=0$) Ising nematic quantum critical point of $d-$wave symmetry. The nematic order parameter is not a conserved…

Strongly Correlated Electrons · Physics 2018-04-18 Avraham Klein , Samuel Lederer , Debanjan Chowdhury , Erez Berg , Andrey Chubukov

We theoretically investigate the dynamic structure factor of a strongly interacting Fermi gas at the crossover from Bardeen-Cooper-Schrieffer superfluids to Bose-Einstein condensates, by developing an improved random phase approximation…

Quantum Gases · Physics 2017-01-06 Peng Zou , Franco Dalfovo , Rishi Sharma , Xia-Ji Liu , Hui Hu

We calculate dynamical spin structure factors for gapped chiral spin liquid states in the spin-1/2 Heisenberg antiferromagnet on the kagome lattice using Schwinger-boson mean-field theory. In contrast to static (equal-time) structure…

Strongly Correlated Electrons · Physics 2016-09-15 Jad C. Halimeh , Matthias Punk
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