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We calculate using perturbative calculations and Ward identities the basic parameters of the Fermi Liquid: the scattering vertex, the Landau interaction function, the effective mass, specific heat, and physical susceptibilities for a model…

Strongly Correlated Electrons · Physics 2009-11-07 Gennady Y. Chitov , Andrew J. Millis

We consider the leading non-analytic temperature dependence of the specific heat and temperature and momentum dependence of the spin susceptibility for two dimensional fermionic systems with non-circular Fermi surfaces. We demonstrate the…

Strongly Correlated Electrons · Physics 2007-05-23 Andrey V. Chubukov , Andrew J. Millis

Using nonequilibrium molecular-dynamics simulations, we study the temperature dependence of the negative differential thermal resistance that appears in two-segment Frenkel-Kontorova lattices. We apply the theoretical method based on…

Biological Physics · Physics 2009-05-26 Wei-Rong Zhong , Ping Yang , Bao-Quan Ai , Zhi-Gang Shao , Bambi Hu

We consider the $SU(2)$ gauge theory with $N_f=2$ flavors of Dirac fundamental fermions. We study the high-temperature behavior of the spectra of mesons, discretizing the theory on anisotropic lattices, and measuring the two-point…

High Energy Physics - Lattice · Physics 2017-04-26 Jong-Wan Lee , Biagio Lucini , Maurizio Piai

The Peierls equation is considered for the Fermi-Pasta-Ulam $\beta$ lattice. Explicit form of the linearized collision operator is obtained. Using this form the decay rate of the normal mode energy as a function of wave vector $k$ is…

Statistical Mechanics · Physics 2009-11-10 Andrey Pereverzev

Recent work has analysed how deformations due to the insertion of a defect in a flat hexagonal lattice affect the ground state structure of an interacting fermion field theory. Such modifications result in an increase of the order parameter…

High Energy Physics - Theory · Physics 2019-07-22 Antonino Flachi , Vincenzo Vitagliano

Problems of heat transport are ubiquitous to various technologies such as power generation, cooling, electronics, and thermoelectrics. Within this context it is natural that external heat flux control on nanoscale devices became an…

Statistical Mechanics · Physics 2023-01-02 M. Romero-Bastida , Ana Gabriela Martínez-Rosas

We present a comprehensive and systematic study of thermal rectification in a prototypical low-dimensional quantum system -- a non-linear resonator: we identify necessary conditions to observe thermal rectification and we discuss strategies…

Mesoscale and Nanoscale Physics · Physics 2021-05-12 Bibek Bhandari , Paolo Andrea Erdman , Rosario Fazio , Elisabetta Paladino , Fabio Taddei

We study heat conduction in one dimensional (1D) anharmonic lattices analytically and numerically by using an effective phonon theory. It is found that every effective phonon mode oscillates quasi-periodically. By weighting the power…

Statistical Mechanics · Physics 2009-11-11 Nianbei Li , Peiqing Tong , Baowen Li

We developed a lattice dynamical theory of an atomically-thin compressional piezoelectric resonator. Acoustic and optical dynamic displacement response functions are derived and account for frequency-dependent electromechanical coupling.…

Mesoscale and Nanoscale Physics · Physics 2024-10-07 Karl H. Michel , Cem Sevik , Milorad V. Milosevic

The problem of the diverging thermal conductivity in one-dimensional (1-D) lattices is considered. By numerical simulations, it is confirmed that the thermal conductivity of the diatomic Toda lattice diverges, which is opposite to what one…

Statistical Mechanics · Physics 2007-05-23 Takahiro Hatano

We perform classical non-equilibrium molecular dynamics simulations to calculate heat flow through a microscopic junction connecting two larger reservoirs. In contrast to earlier works, we also include the reservoirs in the simulated region…

Computational Physics · Physics 2012-09-14 K. Sääskilahti , J. Oksanen , R. P. Linna , J. Tulkki

We report on the observation of anti-ferromagnetic correlations of ultracold fermions in a variety of optical lattice geometries that are well described by the Hubbard model, including dimers, 1D chains, ladders, isolated and coupled…

Quantum Gases · Physics 2015-12-30 Daniel Greif , Gregor Jotzu , Michael Messer , Rémi Desbuquois , Tilman Esslinger

The amorphous solids can be theoretically modeled by anharmonic disordered lattices. However, most of theoretical studies on thermal conductivity in anharmonic disordered lattices only focus on the potentials of hard-type (HT)…

Statistical Mechanics · Physics 2023-03-16 Jianjin Wang , Chi Xiong , Daxing Xiong

We examine the axial U(1) symmetry near and above the finite temperature phase transition in two-flavor QCD using lattice QCD simulations. Although the axial U(1) symmetry is always violated by quantization, (i.e.) the chiral anomaly, the…

High Energy Physics - Lattice · Physics 2013-08-09 Guido Cossu , Sinya Aoki , Hidenori Fukaya , Shoji Hashimoto , Takashi Kaneko , Hideo Matsufuru , Jun-Ichi Noaki

We show that, for fermionic atoms in a one-dimensional optical lattice, the fraction of atoms in doubly occupied sites is a highly non-monotonic function of temperature. We demonstrate that this property persists even in the presence of…

Quantum Gases · Physics 2012-04-30 V. L. Campo , K. Capelle , C. Hooley , J. Quintanilla , V. W. Scarola

We study the thermal boundary conduction in one-dimensional harmonic and $\phi^{4}$ lattices, both of which consist of two segments coupled by a harmonic interaction. For the ballistic interfacial heat transport through the harmonic…

Statistical Mechanics · Physics 2015-09-30 Xiaodong Cao , Dahai He

We discuss ultra-cold Fermi gases in two dimensions, which could be realized in a strongly confining one-dimensional optical lattice. We obtain the temperature versus effective interaction phase diagram for an s-wave superfluid and show…

Other Condensed Matter · Physics 2015-06-25 S. S. Botelho , C. A. R. Sa de Melo

Using lattice QCD simulations with $N_f = 2$ dynamical fermions, we study the axial $U(1)$ symmetry, topological charge, and Dirac eigenvalue spectra in the high-temperature phase in which the chiral symmetry is restored. Our gauge…

High Energy Physics - Lattice · Physics 2020-07-10 Kei Suzuki , Sinya Aoki , Yasumichi Aoki , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto

We investigate the strongly correlated effect of cold atoms in triangular optical lattice by dynamical cluster approximation combining with the continuous time quantum Monte Carlo method proposed recently. It is found the double occupancy…

Quantum Gases · Physics 2010-07-16 Yao-Hua Chen , Wei Wu , Hong-Shuai Tao , Wu-Ming Liu