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While thermoelectric transport theory is well established and widely applied, there remains some degree of confusion on the proper thermodynamic definition of the Seebeck coefficient (or thermoelectric power) which is a measure of the…

Materials Science · Physics 2016-04-05 Y. Apertet , H. Ouerdane , C. Goupil , Ph. Lecoeur

The effects of electronic correlations and orbital degeneracy on thermoelectric properties are studied within the context of multi-orbital Hubbard models on different lattices. We use dynamical mean field theory with iterative perturbation…

Strongly Correlated Electrons · Physics 2015-06-16 Mehdi Kargarian , Gregory A. Fiete

The quest for efficient devices has fueled research in thermoelectric materials. In these materials, the goal is to maximize the Figure of Merit $ZT$. One of the components of this quantity is the Seebeck coefficient, which measures the…

We examine the temperature dependence of thermopower in the single band Hubbard model using dynamical mean-field theory. The strong Coulomb interaction brings about the coherent-to-incoherent crossover as temperature increases. As a result,…

Strongly Correlated Electrons · Physics 2011-11-08 M. Matsuo , S. Okamoto , W. Koshibae , M. Mori , S. Maekawa

Thermoelectrics are important in physics, engineering, and material science due to their useful applications and inherent theoretical difficulty, especially in strongly correlated materials. Here we reexamine the framework for calculating…

Strongly Correlated Electrons · Physics 2013-05-29 Michael R. Peterson , B. Sriram Shastry

We consider strongly-correlated systems described by the multi-orbital Hubbard model in the atomic limit and obtain exact expressions for the chemical potential and thermopower. We show that these expressions reduce to the Heikes formula in…

Strongly Correlated Electrons · Physics 2009-11-10 Subroto Mukerjee

In this paper we investigate the effect of strong electronic interactions on the thermoelectric properties of a simple generic system, consisting of a single correlated layer sandwiched between two metallic leads. Results will be given for…

Strongly Correlated Electrons · Physics 2017-09-07 Irakli Titvinidze , Antonius Dorda , Wolfgang von der Linden , Enrico Arrigoni

In many strongly correlated electron metals the thermoelectric power has a non-monotonic temperature dependence and values that are orders of magnitude larger than for elemental metals. Kelvin proposed a particularly simple expression for…

Strongly Correlated Electrons · Physics 2015-04-01 J. Kokalj , Ross. H. McKenzie

Electronic frustration and strong correlations may lead to large Seebeck coefficients. To understand this physics on general grounds, we compute the thermopower of the one-band Hubbard model on the 3-dimensional fcc lattice over the whole…

Strongly Correlated Electrons · Physics 2013-10-18 Louis-François Arsenault , B. Sriram Shastry , Patrick Sémon , A. -M. S. Tremblay

We obtain the Seebeck coefficient or thermopower $S$, which determines the conversion efficiency from thermal to electrical energy, for the two-dimensional Hubbard model on different geometries (square, triangular, and honeycomb lattices)…

In this article we study the thermal response functions for two one-dimensional models, namely the Hubbard and spin-less fermion $t$-$V$ models. By exactly diagonalizing finite sized systems we calculate dynamical electrical,…

Strongly Correlated Electrons · Physics 2013-05-29 Michael R. Peterson , Subroto Mukerjee , B. Sriram Shastry , Jan O. Haerter

The time-dependent thermopower is analyzed through an interacting quantum dot coupled to a time-dependent gate voltage and under the influence of an external magnetic field using the Keldysh nonequilibrium Green's function formalism. Formal…

Mesoscale and Nanoscale Physics · Physics 2012-06-12 M. Bagheri Tagani , H. Rahimpour Soleimani

The thermopower of few-electron quantum dots with Kondo correlations is investigated via a hierarchial equations of motion approach. The thermopower is determined by the line shape of spectral function within a narrow energy window defined…

Strongly Correlated Electrons · Physics 2015-06-16 LvZhou Ye , Dong Hou , Rulin Wang , Xiao Zheng , YiJing Yan

In open systems with strong coupling, the interaction energy between the system and the environment is significant, so thermodynamic quantities cannot be reliably obtained by traditional statistical mechanics methods. The Hamiltonian of…

Statistical Mechanics · Physics 2025-05-02 Mohammad Rahbar , Christopher J. Stein

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…

Strongly Correlated Electrons · Physics 2009-11-10 M. M. Zemljic , P. Prelovsek

We investigate the effect of electronic correlations onto the thermoelectricity of semi-conductors and insulators. Appealing to model considerations, we study various many-body renormalizations that enter the thermoelectric response. We…

Materials Science · Physics 2010-08-13 Jan M. Tomczak , K. Haule , T. Miyake , A. Georges , G. Kotliar

A theoretical analysis of the thermodynamic response functions of the 2D single-band Hubbard model is realized by means of the composite operator method. It is shown that all the features of these quantities can be explained by looking at…

Strongly Correlated Electrons · Physics 2008-02-03 F. Mancini , D. Villani , H. Matsumoto

By use of the conservation laws a four-site Hubbard model coupled to a particle bath within an external magnetic field in z-direction was diagonalized. The analytical dependence of both the eigenvalues and the eigenstates on the interaction…

Strongly Correlated Electrons · Physics 2017-09-27 R. Schumann

Transport properties in the presence of magnetic fields are numerically studied for the spin-1/2 Heisenberg XXZ chain. The breakdown of the spin-reversal symmetry due to the magnetic field induces the magnetothermal effect. In analogy with…

Statistical Mechanics · Physics 2007-05-23 Shunsuke Furukawa , Dai Ikeda , Kazumitsu Sakai

Thermoelectric effects, measured by the Seebeck coefficients, refer to the phenomena in which a temperature difference or gradient imposed across a thermoelectric material induces an electrical potential difference or gradient, and vice…

Materials Science · Physics 2018-12-05 Yi Wang , Yong-Jie Hu , Shun-Li Shang , Bi-Cheng Zhou , Zi-Kui Liu , Long-Qing Chen
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