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We describe the implementation of total angular momentum dependent pseudopotentials in a plane wave formulation of density functional theory. Our approach thus goes beyond the scalar-relativistic approximation usually made in ab initio…

Condensed Matter · Physics 2007-05-23 G. Theurich , N. A. Hill

The development of machine learning interatomic potentials has immensely contributed to the accuracy of simulations of molecules and crystals. However, creating interatomic potentials for magnetic systems that account for both magnetic…

Computational Physics · Physics 2024-04-30 Hongyu Yu , Yang Zhong , Liangliang Hong , Changsong Xu , Wei Ren , Xingao Gong , Hongjun Xiang

Binary black-hole systems with spins aligned or anti-aligned to the orbital angular momentum provide the natural ground to start detailed studies of the influence of strong-field spin effects on gravitational wave observations of coalescing…

General Relativity and Quantum Cosmology · Physics 2010-01-09 Christian Reisswig , Sascha Husa , Luciano Rezzolla , Ernst Nils Dorband , Denis Pollney , Jennifer Seiler

Numerical methods in spin-foam models have significantly advanced in the last few years, yet challenges remain in efficiently extracting results for amplitudes with many quantum degrees of freedom. In this paper we sketch a proposal for a…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Seth K. Asante , José Diogo Simão , Sebastian Steinhaus

Gravitational wave signals from asymmetric binary black hole systems have been shown to exhibit additional chirps beyond the primary merger chirp in the post-merger region of the time-frequency domain. These secondary post-merger chirps…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Chad Henshaw , Alice Heranval , Laura Cadonati

Nearest-neighbor spin correlations are considered near the surface of a semi-infinite spin-$\frac12$ Heisenberg antiferromagnet on a simple cubic lattice. In the spin-wave approximation, the excitation spectrum of this model involves bulk…

Strongly Correlated Electrons · Physics 2015-05-13 N. Voropajeva , A. Sherman

A novel approach for extracting gauge-invariant information about spin-orbit coupling in gravitationally interacting binary systems is introduced. This approach is based on the "scattering holonomy", i.e. the integration (from the infinite…

General Relativity and Quantum Cosmology · Physics 2017-11-29 Donato Bini , Thibault Damour

We apply the microscopic coupled-cluster method (CCM) to the spin-$1\over2$ $XXZ$ models on both the one-dimensional chain and the two-dimensional square lattice. Based on a systematic approximation scheme of the CCM developed by us…

Condensed Matter · Physics 2017-08-24 R. F. Bishop , R. G. Hale , Y. Xian

We describe a method for calculating dynamical spin-spin correlation functions in the finite isotropic and anisotropic antiferromagnetic Heisenberg models. Our method is able to produce results with high accuracy over the full parameter…

Strongly Correlated Electrons · Physics 2009-11-11 Rob Hagemans , Jean-Sébastien Caux , Jean Michel Maillet

Current searches for gravitational waves from compact-object binaries with the LIGO and Virgo observatories employ waveform models with spins aligned (or anti-aligned) with the orbital angular momentum. Here, we derive a new statistic to…

General Relativity and Quantum Cosmology · Physics 2016-07-14 Ian Harry , Stephen Privitera , Alejandro Bohé , Alessandra Buonanno

Using algebraic Bethe ansatz and the solution of the quantum inverse scattering problem, we compute compact representations of the spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field. At lattice distance m,…

High Energy Physics - Theory · Physics 2011-07-19 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

We calculate the spectral function of a one-dimensional strongly interacting chain of fermions, where the response can be well understood in terms of spinon and holon excitations. Upon increasing the spin imbalance between the spin species,…

Strongly Correlated Electrons · Physics 2015-05-14 Tobias Ulbricht , Peter Schmitteckert

The tension between fermion pairing and magnetism affects numerous strongly correlated electron systems, from high-temperature cuprates to twisted bilayer graphene. Exotic forms of fermion pairing and superfluidity are predicted when…

This work is based on the double correlated linear aggregations of holes in checkerboard geometry. It is proved that the pairing function symmetry is - d(x*x-y*y), as been observed experimentally. It is also shown that there is a…

Superconductivity · Physics 2015-02-18 Moshe Dayan

We developed general approach to the calculation of power-law infrared asymptotics of spin-spin correlation functions in the Kitaev honeycomb model with different types of perturbations. We have shown that in order to find these correlation…

Strongly Correlated Electrons · Physics 2019-06-27 A. V. Lunkin , K. S. Tikhonov , M. V. Feigel'man

Correlation functions of dimer operators, the product operators of spins on two adjacent sites, are studied in the spin-$\frac{1}{2}$ XXZ chain in the critical regime. The amplitudes of the leading oscillating terms in the dimer correlation…

Strongly Correlated Electrons · Physics 2017-10-31 Toshiya Hikihara , Akira Furusaki , Sergei Lukyanov

The relation between supersymmetric gauge theories in four dimensions and quantum spin systems is exploited to find an explicit formula for the Jost function of the $N$ site $\mathfrak{sl}_{2}$ $XXX$ spin chain (for infinite dimensional…

High Energy Physics - Theory · Physics 2024-02-23 Norton Lee , Nikita Nekrasov

We show that atoms trapped in micro-cavities that interact via exchange of virtual photons can model an anisotropic Heisenberg spin-1/2 chain in an external magnetic field. All parameters of the effective Hamiltonian can individually be…

Quantum Physics · Physics 2009-11-13 Michael J. Hartmann , Fernando G. S. L. Brandao , Martin B. Plenio

An improved unified formulation based on the effective field theory is introduced for a spin-1 Ising model with nearest neighbor interactions with arbitrary coordination number z. Present formulation is capable of calculating all the…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı

We develop a simple technique for calculation of next to nearest neighbor spin-spin and chiral-spin correlation functions in inhomogeneous XXX model. Exact expression of the chiral-spin order parameter as a function of the model parameter,…

Strongly Correlated Electrons · Physics 2009-11-13 V. V. Mkhitaryan , A. G. Sedrakyan