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We introduce a systematic low-energy approach to strongly correlated electron systems in infinite dimensions, and apply it to the problem of the correlation-induced metal-insulator transition in the half-filled Hubbard model. We determine…

Condensed Matter · Physics 2007-05-23 Goetz Moeller , Qimiao Si , Gabriel Kotliar , Marcelo Rozenberg

We measure the temperature of a 2D electron gas in GaAs from the thermopower of a one-dimensional ballistic constriction, using the Mott relation to confirm the calibration from the electrical conductance. Under hot electron conditions,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 N. J. Appleyard , J. T. Nicholls , M. Y. Simmons , W. R. Tribe , M. Pepper

We calculate the one-electron spectral function of the attractive-U Hubbard model in two dimensions. We work in the intermediate coupling and low density regime and evaluate analytically the self-energy. The results are obtained in a…

Strongly Correlated Electrons · Physics 2009-10-31 M. Yu. Kagan , R. Fresard , M. Capezzali , H. Beck

We have developed a semi-analytical framework formulated in the canonical fermion representation to investigate strongly correlated electron systems. We consider the U=$\infty$ Hubbard model and used the equation of motion method to…

Strongly Correlated Electrons · Physics 2026-03-18 Debanand Sa , Anirban Dutta

The so-called eigenstate thermalization hypothesis (ETH), which has been tested in various manybody models by numerical simulations, supplies a way of understanding eventual thermalization and is believed to be important for understanding…

Statistical Mechanics · Physics 2024-10-17 Xiao Wang , Wen-ge Wang

Low energy properties of the metallic state of the 2-dimensional tJ model are presented at various densities and temperatures for second neighbor hopping t', with signs that are negative or positive corresponding to hole or electron doping.…

Strongly Correlated Electrons · Physics 2026-01-16 B. Sriram Shastry , Peizhi Mai

Inhomogeneous s-wave superconductivity is studied in the two-dimensional, square lattice attractive Hubbard Hamiltonian using the Bogoliubov-de Gennes (BdG) mean field approximation. We find that at weak coupling, and for densities mainly…

Superconductivity · Physics 2009-11-11 K. Aryanpour , E. R. Dagotto , M. Mayr , T. Paiva , W. E. Pickett , R. T. Scalettar

The adiabatic connection formula of ground-state density functional theory relates the correlation energy to a coupling-constant integral over a purely potential contribution, and is widely used to understand and improve approximations. The…

Chemical Physics · Physics 2016-06-01 Aurora Pribram-Jones , Kieron Burke

A model to describe electronic correlations in energy bands is considered. The model is a generalization of the conventional Hubbard model that allows for the fact that the wavefunction for two electrons occupying the same Wannier orbital…

Strongly Correlated Electrons · Physics 2009-11-07 J. E. Hirsch

We consider a Brownian particle in harmonic confinement of stiffness $k$, in one dimension in the underdamped regime. The whole setup is immersed in a heat bath at temperature $T$. The center of harmonic trap is dragged under any arbitrary…

Statistical Mechanics · Physics 2020-03-18 Deepak Gupta , Amos Maritan

We study a two-band Hubbard model using the dynamical mean-field theory combined with the exact diagonalization method. At the electron density $n=2$, a transition from a band-insulator to a correlated semimetal occurs when the on-site…

Strongly Correlated Electrons · Physics 2007-05-23 Y. Ono , K. Sano

We investigate the momentum-resolved spin and charge susceptibilities, as well as the chemical potential and double occupancy in the two-dimensional Hubbard model as functions of doping, temperature and interaction strength. Through these…

Strongly Correlated Electrons · Physics 2023-01-03 Fedor Šimkovic , Riccardo Rossi , Michel Ferrero

The electronic properties of disordered systems have been the subject of intense study for several decades. Thermoelectric properties, such as thermopower and thermal conductivity, have been relatively neglected. A long standing problem is…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. A. Roemer , A. MacKinnon , C. Villagonzalo

Nonlinear transport in the one dimensional Hubbard model at half-filling under a finite bias voltage is investigated by the adaptive time-dependent density matrix renormalization group method. For repulsive on-site interaction, dielectric…

Strongly Correlated Electrons · Physics 2015-03-17 Shunsuke Kirino , Kazuo Ueda

The real part of the self-energy of interacting two-dimensional electrons has been calculated in the t-matrix approximation. It is shown that the forward scattering results in an anomalous term leading to the vanishing renormalization…

Strongly Correlated Electrons · Physics 2009-10-30 Ken Yokoyama , Hidetoshi Fukuyama

The potential of bulk black-phosphorus for thermoelectric applications has been experimentally studied. The Seebeck Coefficient (S) has been measured in the temperature range from 300 K to 385 K, finding a value of S = +335 +- 10 uV/K at…

We investigate the behavior of the thermoelectric power [S] in disordered systems close to the Anderson-type metal-insulator transition [MIT] at low temperatures. In the literature, we find contradictory results for S. It is either argued…

Disordered Systems and Neural Networks · Physics 2017-09-27 C. Villagonzalo , R. A. Roemer

A self-consistent set of equations for the one-electron self-energy in the ladder approximation is derived for the attractive Hubbard model in the superconducting state. The equations provide an extension of a T-matrix formalism recently…

Superconductivity · Physics 2009-10-30 M. H. Pedersen , J. J. Rodriguez-Nunez , H. Beck , T. Schneider , S. Schafroth

The dynamical response theory is used to obtain an analytical expression for the exchange energy of a quantum wire for arbitrary polarization and width. It reproduces the known form of exchange energy for 1D electron gas in the limit of…

Strongly Correlated Electrons · Physics 2020-02-26 Vinod Ashokan , Renu Bala , Klaus Morawetz , Kare N. Pathak

Thermal transmission in a molecular transistor with fully spin-polarized electrodes subjected to a temperature gradient is considered. The problem has been solved by using density matrix method in perturbation approach over small tunneling…

Mesoscale and Nanoscale Physics · Physics 2022-07-12 A. D. Shkop