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We use computational modeling to investigate the assembly thermodynamics of a particle-based model for geometrically frustrated assembly, in which the local packing geometry of subunits is incompatible with uniform, strain-free large-scale…

Soft Condensed Matter · Physics 2021-09-06 Botond Tyukodi , Farzaneh Mohajerani , Douglas M. Hall , Gregory M. Grason , Michael F. Hagan

We propose an experiment to obtain the phase diagram of the fermionic Hubbard model, for any dimensionality, using cold atoms in optical lattices. It is based on measuring the total energy for a sequence of trap profiles. It combines…

Other Condensed Matter · Physics 2007-12-13 Vivaldo L. Campo , Klaus Capelle , Jorge Quintanilla , Chris Hooley

We have studied the one-dimensional $p$-wave periodic Anderson model at finite temperature with the help of the numerically exact determinant quantum Monte Carlo simulation. It is found that the topological Haldane phase established for…

Strongly Correlated Electrons · Physics 2018-10-25 Yin Zhong , Yu Liu , Qin Wang , Ke Liu , Hai-Feng Song , Hong-Gang Luo

We study finite size effects for the gap of the quasiparticle excitation spectrum in the weakly interacting regime one-dimensional Hubbard model with on-site attraction. Two type of corrections to the result of the thermodynamic limit are…

Strongly Correlated Electrons · Physics 2009-12-08 M. Colomé-Tatché , S. I. Matveenko , G. V. Shlyapnikov

The self-consistent harmonic approximation is extended in order to account for the existence of Klein factors in bosonized Hamiltonians. This is important for the study of finite systems where Klein factors cannot be ignored a priori. As a…

Strongly Correlated Electrons · Physics 2007-05-23 C. Mocanu , M. Dzierzawa , P. Schwab , U. Eckern

For Hamiltonian systems, simulation algorithms that exactly conserve numerical energy or pseudo-energy have seen extensive investigation. Most available methods either require the iterative solution of nonlinear algebraic equations at each…

Numerical Analysis · Mathematics 2022-07-04 Stefan Bilbao , Michele Ducceschi , Fabiana Zama

We discuss the theory and implementation of the finite temperature coupled cluster singles and doubles (FT-CCSD) method including the equations necessary for an efficient implementation of response properties. Numerical aspects of the…

Chemical Physics · Physics 2021-07-07 Alec F. White , Garnet Kin-Lic Chan

We derive a variational cluster approximation for Heisenberg spin systems at finite temperature based on the ideas of the self-energy functional theory by Potthoff for fermionic and bosonic systems with local interactions. Partitioning the…

Strongly Correlated Electrons · Physics 2015-06-19 Stephan Filor , Thomas Pruschke

We consider a system made up of N electrons interacting with a neutralizing positive background within a cubic box of volume V. After dividing the box into N (or N/2) cubic cells for the polarized (unpolarized) case, we average the creation…

Strongly Correlated Electrons · Physics 2007-12-11 Salvino Ciccariello

Motivated by recent quantum gas microscope experiments for fermions in optical lattices, we present proof of principle calculations showing that it is possible to obtain the complete information about the quantum state on a small subsystem…

Strongly Correlated Electrons · Physics 2019-09-16 Stephan Humeniuk

The scaling limit of the less than half filled attractive Hubbard chain is studied. This is a continuum limit in which the particle number per lattice site, n, is kept finite (0<n<1) while adjusting the interaction and bandwidth in a such…

Strongly Correlated Electrons · Physics 2009-10-31 F. Woynarovich , P. Forgacs

Quantum simulation offers a promising framework for quantum field theory calculations. Obtaining reliable results, however, requires careful characterization of systematic uncertainties. One important source is the boson truncation error,…

High Energy Physics - Lattice · Physics 2026-05-20 Jinghong Yang , Christopher F. Kane , Shabnam Jabeen

In a recent work [Reible et al., Phys. Rev. Res. 5, 023156, 2023], it has been shown that the mean particle-particle interaction across an ideal surface that divides a system into two parts, can be employed to estimate the size dependence…

Statistical Mechanics · Physics 2024-01-25 Luigi Delle Site , Carsten Hartmann

We have done a finite-size scaling study of a continuous phase transition altered by the quenched bond disorder, investigating systems at quasicritical temperatures of each disorder realization by using the equilibriumlike invaded cluster…

Statistical Mechanics · Physics 2012-03-21 Ivan Balog , Katarina Uzelac

We investigate critical slowing down in the local updating continuous-time Quantum Monte Carlo method by relating the finite size scaling of Fisher Zeroes to the dynamically generated gap, through the scaling of their respective critical…

High Energy Physics - Lattice · Physics 2009-11-10 P. R. Crompton , W. Janke , Z. X. Xu , H. P. Ying

Accessing the thermodynamic-limit properties of strongly correlated quantum matter requires simulations on very large lattices, a regime that remains challenging for numerical methods, especially in frustrated two-dimensional systems. We…

Strongly Correlated Electrons · Physics 2026-02-04 Luciano Loris Viteritti , Riccardo Rende , Subir Sachdev , Giuseppe Carleo

We present and analyze an unconditionally energy stable and convergent finite difference scheme for the Functionalized Cahn-Hilliard equation. One key difficulty associated with the energy stability is based on the fact that one nonlinear…

Numerical Analysis · Mathematics 2016-10-11 Wenqiang Feng , Zhen Guan , John Lowengrub , Cheng Wang , Steven M. Wise

We study dynamical scaling in the quantum-critical fan of the pseudogap-metal to Fermi-liquid transition of the two-dimensional Hubbard model. Using a four-patch dynamical cluster approximation with the numerical renormalization group as a…

Strongly Correlated Electrons · Physics 2026-05-15 Mathias Pelz , Gabriel Kotliar , Jan von Delft , Andreas Gleis

We show that Monte Carlo sampling of the Feynman diagrammatic series (DiagMC) can be used for tackling hard fermionic quantum many-body problems in the thermodynamic limit by presenting accurate results for the repulsive Hubbard model in…

Strongly Correlated Electrons · Physics 2015-05-13 E. Kozik , K. Van Houcke , E. Gull , L. Pollet , N. Prokof'ev , B. Svistunov , M. Troyer

The finite-size critical properties of the ${\cal O}(n)$ vector $\phi^4$ model, with long-range interaction decaying algebraically with the interparticle distance $r$ like $r^{-d-\sigma}$, are investigated. The system is confined to a…

Statistical Mechanics · Physics 2012-06-14 H. Chamati
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