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We review in detail the derivation of the dielectric response function of a noninteracting system of spin-1/2 fermions in the random-phase approximation. Results for the response function of a Fermi gas in one, two and three dimensions can…

Quantum Gases · Physics 2011-11-24 Bogdan Mihaila

We study the long-distance asymptotic behavior of various correlation functions for the one-dimensional (1D) attractive Hubbard model in a partially polarized phase through the Bethe ansatz and conformal field theory approaches. We…

Strongly Correlated Electrons · Physics 2018-04-04 Song Cheng , Yu-Zhu Jiang , Yi-Cong Yu , Murray T. Batchelor , Xi-Wen Guan

This work develops a rigorous setting allowing one to prove several features related to the behaviour of the Heisenberg-Ising (or XXZ) spin-$1/2$ chain at finite temperature $T$. Within the quantum inverse scattering method the physically…

Mathematical Physics · Physics 2024-06-18 Frank Göhmann , Salvish Goomanee , Karol K. Kozlowski , Junji Suzuki

The spin-1/2 quantum Heisenberg model is studied in all spatial dimensions d by renormalization-group theory. Strongly asymmetric phase diagrams in temperature and antiferromagnetic bond probability p are obtained in dimensions d \geq 3.…

Disordered Systems and Neural Networks · Physics 2009-11-13 C. Nadir Kaplan , A. Nihat Berker

The influence of nonmagnetic doping on the thermodynamic properties of two-leg S = 1/2 spin ladders is studied in this paper. It is shown that, for a weak interchain coupling, the problem can be mapped onto a model of random mass Dirac…

Disordered Systems and Neural Networks · Physics 2008-02-03 Alexander O. Gogolin , Alexander A. Nersesyan , Alexei M. Tsvelik , Lu Yu

This work constructs a well-defined and operational form factor expansion in a model having a massless spectrum of excitations. More precisely, the dynamic two-point functions in the massless regime of the XXZ spin-1/2 chain are expressed…

Mathematical Physics · Physics 2019-07-15 K. K. Kozlowski

Using the Bethe ansatz method and the TBA equations for the higher spin integrable XXZ chain, the regular zero frequency contribution to the spin current correlation (spin dc conductivity) is analyzed for the spin-1/2 XXZ chain with an…

Statistical Mechanics · Physics 2024-04-30 Shinya Ae

We consider the interaction-round-a-face version of the six-vertex model for arbitrary anisotropy parameter, which allow us to derive an integrable one-dimensional quantum Hamiltonian with three-spin interactions. We apply the quantum…

Mathematical Physics · Physics 2023-09-07 T. S. Tavares , G. A. P. Ribeiro

Itinerant ferromagnetism in cold Fermi gases with repulsive interactions is studied applying the Jastrow-Slater approximation generalized to finite polarization and temperature. For two components at zero temperature a second order…

Quantum Gases · Physics 2015-05-20 Henning Heiselberg

Using the finite-size effects the scaling dimensions and correlation functions of the main operators in continuous and lattice models of 1d spinless Bose-gas with pairwise interaction of rather general form are obtained. The long-wave…

High Energy Physics - Theory · Physics 2015-06-26 A. Mironov , A. Zabrodin

We compute the finite temperature induced fermion number for fermions coupled to a static nonlinear sigma model background in (2+1) dimensions, in the derivative expansion limit. While the zero temperature induced fermion number is well…

High Energy Physics - Theory · Physics 2009-11-07 Gerald V. Dunne , Justo Lopez-Sarrion , Kumar Rao

This article studies, both theoretically and numerically, a nonlinear drift-diffusion equation describing a gas of fermions in the zero-temperature limit. The equation is considered on a bounded domain whose boundary is divided into an…

Analysis of PDEs · Mathematics 2020-06-05 Luigi Barletti , Francesco Salvarani

The temperature dependence of the anomalous sector of the effective action of fermions coupled to external gauge and pseudo-scalar fields is computed at leading order in an expansion in the number of Lorentz indices in two and four…

High Energy Physics - Theory · Physics 2016-08-25 L. L. Salcedo

Using numerical diagonalization techniques we analyze the finite temperature/frequency conductance of a one dimensional model of interacting spinless fermions. Depending on the interaction, the observed finite temperature charge stiffness…

Condensed Matter · Physics 2009-10-28 X. Zotos , P. Prelovsek

We propose a form factor approach for the computation of the large distance asymptotic behavior of correlation functions in quantum critical (integrable) models. In the large distance regime we reduce the summation over all excited states…

High Energy Physics - Theory · Physics 2015-05-30 N. Kitanine , K. K. Kozlowski , J. M. Maillet , N. A. Slavnov , V. Terras

We present a generalized expression for the transfer matrix of finite and infinite one-dimensional spin chains within a magnetic field with spin pair interaction $J/r^p$, where $r\ = 1,2,\ldots,n_v$ is the distance between two spins, $n_v$…

Statistical Mechanics · Physics 2022-03-23 J. G. Martínez-Herrera , Omar Abel Rodríguez-López , M. A. Solís

The thermodynamic quantities (spin-spin correlation functions <{\bf S}_0{\bf S}_n>, correlation length {\xi}, spin susceptibility {\chi}, and specific heat C_V) of the frustrated one-dimensional J1-J2 Heisenberg ferromagnet with arbitrary…

Strongly Correlated Electrons · Physics 2015-05-28 M. Haertel , J. Richter , D. Ihle , J. Schnack , S. -L. Drechsler

We study the time and temperature dependent correlation functions for an impenetrable bose gas with open boundary conditions. We derive the Fredholm determinant formulae for the correlation functions, by means of the Bethe Ansatz. In the…

solv-int · Physics 2007-05-23 T. Kojima

In this work, the zero-temperature limit of the thermodynamic spin-density functional theory is investigated. The coarse-grained approach to the equilibrium density operator is used to describe the equilibrium state. The characteristic…

Chemical Physics · Physics 2013-10-28 Robert Balawender

The temperature-dependent uniform magnetic susceptibility of interacting electrons in one dimension is calculated using several methods. At low temperature, the renormalization group reaveals that the Luttinger liquid spin susceptibility…

Strongly Correlated Electrons · Physics 2009-10-31 H. Nélisse , C. Bourbonnais , H. Touchette , Y. M. Vilk , A. -M. S. Tremblay