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New numerical method to calculate thermodynmic Bethe ansatz equations is proposed based on Newton's method. Thermodynamic quantities of one-dimensional Hubbard model is numerically calculated and compared with high temperature expansion and…

强关联电子 · 物理学 2007-05-23 Minoru Takahashi , Masahiro Shiroishi

We present a novel treatment of finite temperature properties of the one-dimensional Hubbard model. Our approach is based on a Trotter-Suzuki mapping utilizing Shastry's classical model and a subsequent investigation of the quantum transfer…

强关联电子 · 物理学 2015-06-25 G. Juttner , A. Klumper , J. Suzuki

We calculate analytically the effective mass and the quasiparticle renormalization factor in an electron liquid with long-range Coulomb interactions between electrons in two and three dimensions in the leading order density expansion. We…

强关联电子 · 物理学 2009-11-10 Victor Galitski , S. Das Sarma

We present results of numerical simulations performed on one-dimensional spin chains in order to extract the so-called relaxation rate $1/T_1$ accessible through NMR experiments. Building on numerical tensor network methods using the Matrix…

强关联电子 · 物理学 2016-10-14 Maxime Dupont , Sylvain Capponi , Nicolas Laflorencie

Bethe ansatz and bosonization procedures are used to describe the thermodynamics of the strong-coupled Hubbard chain in the \textit{spin-incoherent} Luttinger liquid (LL) regime: $J(\equiv 4t^2/U)\ll k_B T\ll E_F$, where $t$ is the hopping…

强关联电子 · 物理学 2018-08-29 Carlindo Vitoriano , R. R. Montenegro-Filho , M. D. Coutinho-Filho

We analyze the Thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the "spin-disordered regime", which is characterized by the temperature being much larger than the magnetic energy scale but small…

强关联电子 · 物理学 2009-11-11 S. Ejima , F. H. L. Essler , F. Gebhard

The thermodynamic properties: specific heat, entropy, spin susceptibility $\chi_s$ and charge susceptibility $\chi_c$ are studied as a function of temperature and doping within the two-dimensional Hubbard model with various $U/t=4 - 12$.…

强关联电子 · 物理学 2009-11-07 J. Bonca , P. Prelovsek

We investigate the thermodynamics of a one-dimensional Hubbard model with bond-charge interaction X using the transfer matrix renormalization group method (TMRG). Numerical results for various quantities like spin and charge…

强关联电子 · 物理学 2009-11-10 Andreas Kemper , Andreas Schadschneider

We investigate the grand potential of the one-dimensional Hubbard model in the high temperature limit, calculating the coefficients of the high temperature expansion ($\beta$-expansion) of this function up to order $\beta^4$ by an…

凝聚态物理 · 物理学 2016-08-31 I. C. Charret , E. V. Correa Silva , S. M. de Souza , M. T. Thomaz , A. T. Costa , O. Rojas Santos

We develop the variational-cluster-approximation method based on the thermal-pure-quantum-state approach and apply the method to the calculations of the thermodynamic properties of the Hubbard model, thereby obtaining the temperature…

强关联电子 · 物理学 2020-02-19 Hisao Nishida , Ryo Fujiuchi , Koudai Sugimoto , Yukinori Ohta

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…

强关联电子 · 物理学 2024-12-23 Naira Grigoryan , Piotr Chudzinski

The coupling between electronic and lattice degrees of freedom lies at the core of many important properties of solids. Nevertheless, surprisingly little is know about the entanglement between these degrees of freedom. We here calculate the…

强关联电子 · 物理学 2022-02-18 Gergő Roósz , Carsten Timm

The specific heat and the compressibility for the integrable t-J model are calculated showing Luttinger liquid behavior for low temperatures. A Trotter-Suzuki mapping and the quantum transfer matrix approach are utilized. Using an algebraic…

凝聚态物理 · 物理学 2015-06-25 G. Juttner , A. Klumper

Finite temperature properties of a non-Fermi liquid system is one of the most challenging probelms in current understanding of strongly correlated electron systems. The paradigmatic arena for studying non-Fermi liquids is in one dimension,…

强关联电子 · 物理学 2018-07-18 Garry Bowen , Miklos Gulacsi

We present the exact solution of the one-dimensional extended Hubbard model in the atomic limit within the Green's function and equation of motion formalism. We provide a comprehensive and systematic analysis of the model by considering all…

强关联电子 · 物理学 2008-07-25 F. Mancini , F. P. Mancini

The Hubbard model is a longstanding problem in the theory of strongly correlated electrons and a very active one in the experiments with ultracold fermionic atoms. Motivated by current and prospective quantum simulations, we apply a…

强关联电子 · 物理学 2022-11-07 Aritra Sinha , Marek M. Rams , Piotr Czarnik , Jacek Dziarmaga

The thermoelectric power S is studied within the one-dimensional Hubbard model using the linear response theory and the numerical exact-diagonalization method for small systems. While both the diagonal and off-diagonal dynamical correlation…

强关联电子 · 物理学 2009-11-10 M. M. Zemljic , P. Prelovsek

Understanding charge transport in strongly correlated systems remains a central challenge in condensed matter physics, particularly in light of the ubiquitous linear-in-$T$ resistivity observed in strange metals across many platforms from…

强关联电子 · 物理学 2026-04-06 Shuo Liu , Yuhao Ma , Hitesh J. Changlani , Philip W. Phillips , B. Andrei Bernevig

The two-dimensional Holstein-Hubbard model is studied by means of continuous-time quantum Monte Carlo simulations. Using renormalization-group-invariant correlation ratios and finite-size extrapolation, the critical temperature of the…

强关联电子 · 物理学 2018-08-06 Manuel Weber , Martin Hohenadler

The one-dimensional (1D) Hubbard model, describing electrons on a lattice with an on-site repulsive interaction, provides a paradigm for the physics of quantum many-body phenomena. Here by solving the thermodynamic Bethe ansatz equations we…

强关联电子 · 物理学 2018-04-04 Song Cheng , Yi-Song Yu , Murray T Batchelor , Xi-Wen Guan
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