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Let $T$ be an adjointable operator between two Hilbert $C^*$-modules and $T^*$ be the adjoint operator of $T$. The polar decomposition of $T$ is characterized as $T=U(T^*T)^\frac12$ and $\mathcal{R}(U^*)=\overline{\mathcal{R}(T^*)}$, where…

Operator Algebras · Mathematics 2018-07-16 Na Liu , Wei Luo , Qingxiang Xu

The pairing of quasiparticles in a CuO$_2$ plane is studied within a spin polaron formulation of the $t$-$t^{'}$-$J$ model. Our numerical solution of the Eliashberg equations unambiguously shows d-wave pairing between spin polarons on…

Condensed Matter · Physics 2009-10-28 N. M. Plakida , V. S. Oudovenko , P. Horsch , A. I. Liechtenstein

We show that interference experiments can be used to identify the spin-incoherent regime of strongly interacting one-dimensional conductors. Two qualitative signatures of spin-incoherence are found: a strong magnetic field dependence of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Kindermann , P. W. Brouwer , A. J. Millis

A covariant method is proposed for calculating the amplitudes of processes involving polarized spin 1/2 particles. It is suitable for calculating the interference terms in the cross sections of such processes. As an illustration,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander L. Bondarev

We study the longitudinal spin polarization of a relativistic fluid of massive spin-1/2 particles undergoing a boost-invariant expansion in the longitudinal direction and rotating in the transverse plane. We express the polarization vector…

Nuclear Theory · Physics 2025-03-18 Nora Weickgenannt , Jean-Paul Blaizot

The description of particles with spin can be attained by using a spin density matrix in high energy reaction. In this paper we present a parametrization of the spin density matrix for spin -3/2 particles in the Cartesian form. Comparing…

High Energy Physics - Phenomenology · Physics 2020-05-05 Jiao Jiao Song , Wan Ling Chang

As predicted by Slonczewski and Berger, the possibility of exciting microwave oscillations in a nanomagnet by a spin-polarized current has been recently demonstrated. This observation opens very important perspectives of applications in RF…

Materials Science · Physics 2007-05-23 K. J. Lee , A. Deac , O. Redon , J. P. Nozieres , B. Dieny

Several on-going and future experiments use a Stokes polarimeter (i.e. a rotating wave plate followed by a steady polarizer and by an unpolarized detector) to measure the small polarized component of the Cosmic Microwave Background. The…

Instrumentation and Methods for Astrophysics · Physics 2010-06-17 Maria Salatino , Paolo de Bernardis

In this work, we study the t-J model using a two-pole approximation within the composite operator method. We choose a basis of two composite operators -- the constrained electrons and their spin-fluctuation dressing -- and approximate their…

Strongly Correlated Electrons · Physics 2021-12-21 Amir Eskandari-asl , Adolfo Avella

We consider a spin coherent states description of a general quantum spin system. It is shown that it is possible to use the spin-1/2 representation to study the general spin-J case. We identify the 1/2 spinor components as the homogeneous…

Statistical Mechanics · Physics 2007-05-23 V. R. Vieira , P. D. Sacramento

In this paper, we shall characterize the components of the polar decomposition for an arbitrary $J$-unitary operator in a Hilbert space. This characterization has a quite different structure as that for complex symmetric and complex…

Functional Analysis · Mathematics 2014-08-19 Sergey M. Zagorodnyuk

We investigate the phase diagram of the two dimensional {\it t}-{\it J} model using a recently developed technique that allows to solve the mean-field model hamiltonian with a variational calculation. The accuracy of our estimate is…

Condensed Matter · Physics 2009-10-22 Antimo Angelucci , Sandro Sorella

The population of radio pulsars is observed to demonstrate certain polarization properties not explained by the conventional picture of pulsar polarization, namely frequency evolution of polarization, deviations of the linear polarization…

High Energy Astrophysical Phenomena · Physics 2023-08-02 Lucy Oswald , Aris Karastergiou , Simon Johnston

A graded H.P,realization of the SU(2|1) algebra is proposed.A spin-wave theory with a condition that the sublattice magnetization is zero is discussed.The long-range spiral phase is investigated.The spin-spin correlator is calculated.

Condensed Matter · Physics 2009-10-22 N. I. Karchev , T. S. Hristov

We study electric polarization and nonlinear optical effects in spin systems with broken inversion symmetry. We apply strong coupling expansion to the underlying electronic Hamiltonians, and systematically derive expressions for electric…

Strongly Correlated Electrons · Physics 2021-08-25 Takahiro Morimoto , Sota Kitamura , Shun Okumura

We demonstrate a mesoscopic spin polarizer/analyzer system that allows the spin polarization of current from a quantum point contact in an in-plane magnetic field to be measured. A transverse focusing geometry is used to couple current from…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. M. Potok , J. A. Folk , C. M. Marcus , V. Umansky

In the setting of adjointable operators on Hilbert $C^*$-modules, this paper deals with the polar decomposition of the product of three operators. The relationship between the polar decompositions associated with three operators is…

Functional Analysis · Mathematics 2024-02-22 Dingyi Du , Qingxiang Xu , Shuo Zhao

We estimate both the polarization of spin $1/2$ baryons and the spin density matrix coefficients of spin $1$ mesons using a thermal model that incorporates vorticity and polarization to describe quarks, along with a coalescence formalism…

High Energy Physics - Phenomenology · Physics 2024-10-23 Kayman J. Gonçalves , Giorgio Torrieri , Radoslaw Ryblewski

In this paper we explore the incommensurate spatial modulation of spin-spin correlations as the intrinsic property of the doped Mott insulator, described by the $t-J$ model. We show that such an incommensurability is a direct manifestation…

Strongly Correlated Electrons · Physics 2009-10-31 Z. Y. Weng , D. N. Sheng , C. S. Ting

We discuss an extension of the Resta's electronic polarization to non-Hermitian systems with periodic boundary conditions. We introduce the ``electronic polarization'' as an expectation value of the exponential of the position operator in…

Strongly Correlated Electrons · Physics 2022-03-07 Shohei Masuda , Masaaki Nakamura
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