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Lorentz transformations of spin density matrices for a particle with positive mass and spin 1/2 are described by maps of the kind used in open quantum dynamics. They show how the Lorentz transformations of the spin depend on the momentum.…

Quantum Physics · Physics 2008-11-26 Thomas F. Jordan , Anil Shaji , E. C. G. Sudarshan

The increasing interest in the Mueller density-matrix-functional theory has led us to a systematic mathematical investigation of its properties. This functional is similar to the Hartree-Fock functional, but with a modified exchange term in…

Strongly Correlated Electrons · Physics 2009-09-29 Rupert L. Frank , Elliott H. Lieb , Robert Seiringer , Heinz Siedentop

The spin structure of wave functions is reflected in the magnetic structure of the one-particle density matrix. Indeed, for single determinants we can use either one to determine the other. In this work we discuss how one can simply examine…

Chemical Physics · Physics 2020-05-14 Thomas M. Henderson , Carlos A. Jimenez-Hoyos , Gustavo E. Scuseria

We calculate the off-diagonal density matrix of the homogeneous electron gas at zero temperature using unbiased Reptation Monte Carlo for various densities and extrapolate the momentum distribution, and the kinetic and potential energies to…

Strongly Correlated Electrons · Physics 2016-03-15 Markus Holzmann , Bernard Bernu , Carlo Pierleoni , Jeremy McMinis , David M. Ceperley , Valerio Olevano , Luigi Delle Site

A stochastic differential equation that describes the dynamics of single-domain magnetic particles at any temperature is derived using a classical formalism. The deterministic terms recover existing theory and the stochastic process takes…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Michail Tzoufras , Gregory J. Parker , Michael K. Grobis

The magnetic phase diagram of the quarter-filled generalized Wigner lattice with nearest- and next-nearest-neighbor hopping t_1 and t_2 is explored. We find a region at negative t_2 with fully saturated ferromagnetic ground states that we…

Strongly Correlated Electrons · Physics 2008-11-21 M. Daghofer , R. M. Noack , P. Horsch

We show different expressions of distribution functions (DFs) which depend only on the two classical integrals of the energy and the magnitude of the angular momentum with respect to the axis of symmetry for stellar systems with known…

Astrophysics · Physics 2009-06-25 Zhenglu Jiang , Leonid Ossipkov

The spin structure of the system of quasifree fermions having total angular momentum $J=1/2$ is studied in a consistently covariant approach. Within this model the relations between the spin functions are obtained. Their particular cases…

High Energy Physics - Phenomenology · Physics 2017-08-23 Petr Zavada

The transverse magnetoresistance of the Bechgaard salt (TMTSF)$_2$PF$_6$ has been measured for various pressures, with the field up to 24 T parallel to the lowest conductivity direction c$^{\ast}$. A quadratic behavior is observed in the…

Strongly Correlated Electrons · Physics 2009-11-07 N. Matsunaga , K. Yamashita , H. Kotani , K. Nomura , T. Sasaki , T. Hanajiri , J. Yamada , S. Nakatsuji , H. Anzai

The density distribution in solids is often represented as a sum of Gaussian peaks (or similar functions) centred on lattice sites or via a Fourier sum. Here, we argue that representing instead the $\mathit{logarithm}$ of the density…

Soft Condensed Matter · Physics 2021-06-02 Priya Subramanian , Daniel J. Ratliff , Alastair M. Rucklidge , Andrew J. Archer

By generalizing the usual current density to a matrix with respect to spin variables, a general equation of continuity satisfied by the density matrix and current density matrix has been derived. This equation holds in arbitrary spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Hua-Tong Yang , Chengshi Liu

Consider a quantum system $S$ weakly interacting with a very large but finite system $B$ called the heat bath, and suppose that the composite $S\cup B$ is in a pure state $\Psi$ with participating energies between $E$ and $E+\delta$ with…

Quantum Physics · Physics 2014-02-25 Viraj Pandya , Roderich Tumulka

A new method to extract the density of partition function zeroes (a continuous function) from their distribution for finite lattices (a discrete data set) is presented. This allows direct determination of the order and strength of phase…

Statistical Mechanics · Physics 2009-11-07 Wolfhard Janke , Ralph Kenna

Several general results are derived for diffuse waves in anisotropic solids, including concise expressions for the modal density per unit volume and for the participation factor matrix G. The latter is a second order tensor which describes…

Materials Science · Physics 2008-04-15 Andrew N. Norris

Electrical transport in graphene offers a fascinating parallel to spin transport in semiconductors including the spin-Hall effect. In the weak momentum scattering regime the steady-state density matrix contains two contributions, one linear…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dimitrie Culcer , R. Winkler

Applied magnetic fields can couple to atomic displacements via generalized Lorentz forces, which are commonly expressed as gyromagnetic $g$ factors. We develop an efficient first-principles methodology based on density-functional…

Materials Science · Physics 2022-03-23 Asier Zabalo , Cyrus E. Dreyer , Massimiliano Stengel

The current driven magnetisation dynamics of a helical spin-density wave is investigated. Expressions for calculating the spin-transfer torque of real systems from first principles density functional theory are presented. These expressions…

Materials Science · Physics 2009-11-13 O. Wessely , B. Skubic , L. Nordstrom

The total spin of the ground state is calculated in the U -> infinity Hubbard model with uniform magnetic flux perpendicular to a square lattice, in the absence of Zeeman coupling. It is found that the saturated ferromagnetism emerges in a…

Strongly Correlated Electrons · Physics 2007-05-23 Yasuhiro Saiga , Masaki Oshikawa

We have analytically obtained all the density matrix elements up to six lattice sites for the spin-1/2 Heisenberg XXZ chain at $\Delta=1/2$. We use the multiple integral formula of the correlation function for the massless XXZ chain derived…

Statistical Mechanics · Physics 2009-11-13 Jun Sato , Masahiro Shiroishi

We investigate the charge-density wave (CDW) transition for one-dimensional spinless fermions at half band-filling with nearest-neighbor electron transfer amplitude $t$ and interaction $V$. The model is equivalent to the anisotropic XXZ…

Strongly Correlated Electrons · Physics 2022-11-22 Florian Gebhard , Kevin Bauerbach , Örs Legeza