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We discuss finite temperature quantum Monte Carlo methods in the framework of the interacting nuclear shell model. The methods are based on a representation of the imaginary-time many-body propagator as a superposition of one-body…

Nuclear Theory · Physics 2009-11-06 Y. Alhassid

We present an \textit{ab initio} auxiliary field quantum Monte Carlo method for studying the electronic structure of molecules, solids, and model Hamiltonians at finite temperature. The algorithm marries the \textit{ab initio} phaseless…

Strongly Correlated Electrons · Physics 2018-11-13 Yuan Liu , Minsik Cho , Brenda Rubenstein

We study the far-from-equilibrium properties of quenched magnetic nanoscopic classical spin systems. In particular, we focus on the interplay between lattice vibrations and magnetic frustrations induced by surface effects typical of an…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 Carla Lupo , Cedric Weber

An extended atomistic spin model allowing for studies of the finite temperature magnetic properties of alloys is proposed. The model is obtained by extending the Heisenberg Hamiltonian via a parameterization from a first principles basis,…

Computational Physics · Physics 2017-06-07 Fan Pan , Jonathan Chico , Anna Delin , Anders Bergman , Lars Bergqvist

We examine different models and methods for studying finite-temperature magnetic hysteresis in nanoparticles and ultrathin films. This includes micromagnetic results for the hysteresis of a single magnetic nanoparticle which is misaligned…

Materials Science · Physics 2007-05-23 M. A. Novotny , D. T. Robb , S. M. Stinnett , G. Brown , P. A. Rikvold

A Monte Carlo method for finite-temperature studies of the two-dimensional quantum Heisenberg antiferromagnet with random ferromagnetic bonds is presented. The scheme is based on an approximation which allows for an analytic summation over…

Condensed Matter · Physics 2009-10-22 A. Sandvik

An efficient method for computing thermodynamic equilibrium states at the micromagnetic length scale is introduced, using the Markov chain Monte Carlo method. Trial moves include not only rotations of vectors, but also a change in their…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 Serban Lepadatu

Body-centered cubic (bcc) Fe-Mn systems are known to exhibit a complex and atypical magnetic behaviour from both experiments and 0 K electronic-structure calculations, which is due to the half-filled 3d-band of Mn. We propose effective…

Materials Science · Physics 2021-01-20 Anton Schneider , Chu-Chun Fu , Osamu Waseda , Cyrille Barreteau , Tilmann Hickel

Equilibrium canonical distribution in statistical mechanics assumes weak system-bath coupling (SBC). In real physical situations this assumption can be invalid and equilibrium quantum statistics of the system may be non-canonical. By…

Quantum Physics · Physics 2013-02-08 Chee Kong Lee , Jianshu Cao , Jiangbin Gong

The dynamics in quantum magnets can often be described by effective models with bosonic excitations obeying a hard-core constraint. Such models can be systematically derived by renormalization schemes such as continuous unitary…

Strongly Correlated Electrons · Physics 2014-08-12 Benedikt Fauseweh , Joachim Stolze , Götz S. Uhrig

We briefly review the Thomas-Fermi statistical model of atoms in the classical non-relativistic formulation and in the generalised finite-nucleus relativistic formulation. We then discuss the classical generalisation of the model to finite…

Astrophysics · Physics 2017-08-23 G. Bertone , R. Ruffini

This thesis describes several topics related to finite temperature studies of strongly correlated systems: finite temperature density matrix embedding theory (FT-DMET), finite temperature metal-insulator transition, and quantum algorithms…

Strongly Correlated Electrons · Physics 2023-03-01 Chong Sun

We derive an exact recursion formula for the calculation of thermodynamic functions of finite systems obeying Bose-Einstein statistics. The formula is applicable for canonical systems where the particles can be treated as noninteracting in…

Statistical Mechanics · Physics 2009-10-31 Peter Borrmann , Jens Harting , Oliver Muelken , Eberhard R. Hilf

We introduce a Heisenberg Hamiltonian for describing the magnetic properties of GaMnAs. Electronic degrees of freedom are integrated out leading to a pairwise interaction between Mn spins. Monte Carlo simulations in large systems are then…

Materials Science · Physics 2009-11-10 L. Brey , G. Gómez-Santos

A recent description of an exact map for the equilibrium structure and thermodynamics of a quantum system onto a corresponding classical system is summarized. Approximate implementations are constructed by pinning exact limits (ideal gas,…

Statistical Mechanics · Physics 2015-04-14 Jeffrey Wrighton , James Dufty , Sandipan Dutta

The search for problems where quantum adiabatic optimization might excel over classical optimization techniques has sparked a recent interest in inducing a finite-temperature spin-glass transition in quasi-planar topologies. We have…

Disordered Systems and Neural Networks · Physics 2018-05-28 Zheng Zhu , Andrew J. Ochoa , Helmut G. Katzgraber

Full quantum statistical $NVT$ simulation of the five-particle system H$_3^+$ has been carried out using the path integral Monte Carlo method. Structure and energetics is evaluated as a function of temperature up to the thermal dissociation…

Quantum Physics · Physics 2015-05-18 Ilkka Kylänpää , Tapio T. Rantala

We introduce a new class of quantum Monte Carlo methods, based on a Gaussian quantum operator representation of fermionic states. The methods enable first-principles dynamical or equilibrium calculations in many-body Fermi systems, and,…

Quantum Physics · Physics 2009-11-10 J. F. Corney , P. D. Drummond

Monte Carlo algorithms are frequently used in atomistic simulations, including for computation of magnetic parameter temperature dependences in multiscale simulations. Even though parallelization strategies for Monte Carlo simulations of…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Serban Lepadatu , George McKenzie , Tim Mercer , Callum Robert MacKinnon , Philip Raymond Bissell

\textit{Ab initio} quantum Monte Carlo (QMC) methods in principle allow for the calculation of exact properties of correlated many-electron systems, but are in general limited to the simulation of a finite number of electrons $N$ in…

Statistical Mechanics · Physics 2021-04-21 Tobias Dornheim , Jan Vorberger