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We compute the electron spin susceptibility in the pseudogap regime of the two-dimensional Hubbard model in the framework of a SU(2) gauge theory of fluctuating magnetic order. The electrons are fractionalized in fermionic chargons with a…

Strongly Correlated Electrons · Physics 2026-01-29 Paulo Forni , Pietro M. Bonetti , Henrik Müller-Groeling , Demetrio Vilardi , Walter Metzner

We propose a variational superposed Gaussian approximation (VSGA) for dynamical solutions of Langevin equations subject to applied signals, determining time-dependent parameters of superposed Gaussian distributions by the variational…

Statistical Mechanics · Physics 2015-05-20 Yoshihiko Hasegawa

In this paper, we report on a correctly scaling novel coupled cluster singles and doubles (CCSD) implementation for arbitrary high-spin open-shell states. The chosen cluster operator is completely spin-free, i.e. employs spatial…

Chemical Physics · Physics 2022-02-23 Nils Herrmann , Michael Hanrath

We find a relationship between unitary transformations of the dynamics of quantum systems with time-dependent Hamiltonians and gauge theories. In particular, we show that the nonrelativistic dynamics of spin-$\frac12$ particles in a…

Quantum Physics · Physics 2009-10-31 Merced Montesinos , Abdel Pérez-Lorenzana

Compactifications of 6D superconformal field theories (SCFTs) on four-manifolds generate a large class of novel 2d quantum field theories. We consider in detail the case of the rank one simple non-Higgsable cluster 6D SCFTs. On the tensor…

High Energy Physics - Theory · Physics 2017-09-20 Fabio Apruzzi , Falk Hassler , Jonathan J. Heckman , Ilarion V. Melnikov

Stochastic Gradient Descent-Ascent (SGDA) is one of the most prominent algorithms for solving min-max optimization and variational inequalities problems (VIP) appearing in various machine learning tasks. The success of the method led to…

Optimization and Control · Mathematics 2023-03-09 Aleksandr Beznosikov , Eduard Gorbunov , Hugo Berard , Nicolas Loizou

Connecting short time microscopic dynamics with long time hydrodynamics in strongly correlated quantum systems is one of the outstanding questions. In particular, it is very difficult to determine various hydrodynamic coefficients like the…

Statistical Mechanics · Physics 2020-05-20 Jonathan Wurtz , Anatoli Polkovnikov

The dynamical cluster approximation (DCA) is a systematic extension beyond the single site approximation in dynamical mean field theory (DMFT), to include spatially non-local correlations in quantum many-body simulations of strongly…

Strongly Correlated Electrons · Physics 2013-11-27 Peter Staar , Thomas Maier , Thomas C. Schulthess

The strongly constrained and appropriately normed (SCAN) semilocal density functional [J. Sun, A. Ruzsinszky, J. P. Perdew \textit{Phys. Rev. Lett.} {\bf 115}, 036402 (2015)] obeys all 17 known exact constraints for…

Materials Science · Physics 2016-09-28 J. G. Brandenburg , J. E. Bates , A. Ruzsinszky , J. Sun , J. P. Perdew

High temperature series expansions of the spin-spin correlation function for the plane rotator (or XY) model on the sc lattice are extended by three terms through order $\beta^{17}$. Tables of the expansion coefficients are reported for the…

High Energy Physics - Lattice · Physics 2019-08-15 P. Butera , M. Comi , A. J. Guttmann

Thermodynamic consistency of the Mean Spherical Approximation as well as the Self-Consistent Ornstein-Zernike Approximation (SCOZA) with the virial route to thermodynamics is analyzed in terms of renormalized gamma-ordering. For continuum…

Statistical Mechanics · Physics 2008-03-30 Albert Reiner , Johan S. Hoye

In this paper we study the on and off-equilibrium properties of the four dimensional Gaussian spin glass. In the static case we determine with more precision that in previous simulations both the critical temperature as well as the critical…

Condensed Matter · Physics 2009-10-28 Giorgio Parisi , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

Using the PQSCHA semiclassical method, we evaluate thermodynamic quantities of one-dimensional Heisenberg ferro- and antiferromagnets. Since the PQSCHA reduces their evaluation to classical-like calculations, we take advantage of Fisher's…

Statistical Mechanics · Physics 2009-10-31 Alessandro Cuccoli , Valerio Tognetti , Paola Verrucchi , Ruggero Vaia

The specific heat and susceptibilities for the two- and one-dimensional spin--orbital models are calculated in the framework of a spherically symmetric self-consistent approach at different temperatures and relations between the parameters…

Strongly Correlated Electrons · Physics 2022-10-12 V. E. Valiulin , A. V. Mikheyenkov , K. I. Kugel , A. F. Barabanov

We employ singular value decomposition (SVD) to study the eigenvalue spectra of random spin systems. By SVD, eigenvalue spectrum is decomposed into orthonormal modes $W_k$ with weight $\lambda_k$. We show that the scree plot ($\lambda_k$…

Disordered Systems and Neural Networks · Physics 2022-02-24 Wen-Jia Rao

Ramsey spectroscopy has become a powerful technique for probing non-equilibrium dynamics of internal (pseudospin) degrees of freedom of interacting systems. In many theoretical treatments, the key to understanding the dynamics has been to…

Atomic Physics · Physics 2015-06-18 A. P. Koller , M. Beverland , A. V. Gorshkov , A. M. Rey

We propose and quantize a local, covariant gauge-field action that unifies the description of all free helicity and continuous-spin degrees of freedom in a simple manner. This is the first field-theory action of any kind for continuous spin…

High Energy Physics - Theory · Physics 2013-11-05 Philip Schuster , Natalia Toro

We examine the construction of the spin angular momentum in systems with pseudoclassical Grassmann variables. In constrained systems there are many different algebraic forms for the dynamical variables that will all agree on the constraint…

Quantum Physics · Physics 2021-10-12 Theodore J. Allen

We reexamine the spin glass (SG) phase transition of the $\pm J$ Heisenberg models with and without the random anisotropy $D$ in three dimensions ($d = 3$) using complementary two methods, i.e., (i) the defect energy method and (ii) the…

Disordered Systems and Neural Networks · Physics 2009-11-10 F Matsubara , T Shirakura , S Endoh , S Takahashi

Self consistent GW approach (scGW) has been applied to calculate the ground state properties (equilibrium Wigner-Seitz radius $S_{WZ}$ and bulk modulus $B$) of 3d transition metals Sc, Ti, V, Fe, Co, Ni, and Cu. The approach systematically…

Strongly Correlated Electrons · Physics 2017-10-31 Andrey L. Kutepov