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Spectral functions are central to link experimental probes to theoretical models in condensed matter physics. However, performing exact numerical calculations for interacting quantum matter has remained a key challenge especially beyond one…

Strongly Correlated Electrons · Physics 2023-08-03 Tiago Mendes-Santos , Markus Schmitt , Markus Heyl

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

Low-dimensional quantum magnets at finite temperatures present a complex interplay of quantum and thermal fluctuation effects in a restricted phase space. While some information about dynamical response functions is available from…

Strongly Correlated Electrons · Physics 2016-09-05 Andreas Honecker , Frédéric Mila , B. Normand

Dynamical structure factors of the S=1 bond-alternating spin chains in the dimer phase are calculated at finite temperature, using the pair dynamical correlated-effective-field approximation. At T=0, the delta-function-type peak of the…

Strongly Correlated Electrons · Physics 2009-11-11 Takahumi Suzuki , Sei-ichiro Suga

We investigate the impact of quenched disorder on the dynamical correlation functions of two-leg quantum spin ladders. Perturbative continuous unitary transformations with the help of white graphs and bond-operator mean-field theory are…

Strongly Correlated Electrons · Physics 2018-10-24 M. Hörmann , P. Wunderlich , K. P. Schmidt

We present the first calculations of the inelastic part of the dynamical structure factor (DSF) for warm dense matter (WDM) using Time-Dependent Orbital-Free Density Functional Theory (TD-OF-DFT) and Mixed-Stochastic-Deterministic (mixed)…

Plasma Physics · Physics 2024-11-05 Alexander J. White

In this study, we examine the thermodynamics and spin dynamics of spin-1/2 and spin-3/2 heptamers. Through an exact diagonalization of the isotropic Heisenberg Hamiltonian, we find the closed-form, analytical representations for…

Strongly Correlated Electrons · Physics 2019-01-30 A. Roxburgh , J. T. Haraldsen

We study the excitation spectrum of the $S=1/2$ Heisenberg model on the randomly diluted square lattice by analytic continuation of QMC data. At dilution fractions $p=1/16$ and $p=1/8$, the dynamic structure factor $S({\bf q},\omega)$…

Strongly Correlated Electrons · Physics 2025-05-27 Liuyun Dao , Hui Shao , Anders W. Sandvik

We develop high temperature series expansions for $\ln{Z}$ and the uniform structure factor of the spin-half Heisenberg model on the hyperkagome lattice to order $\beta^{16}$. These expansions are used to calculate the uniform…

Strongly Correlated Electrons · Physics 2015-06-03 R. R. P. Singh , J. Oitmaa

We compute the dynamic structure factor for the Ising model with a purely relaxational dynamics (model A). We perform a perturbative calculation in the $\epsilon$ expansion, at two loops in the high-temperature phase and at one loop in the…

Statistical Mechanics · Physics 2009-11-10 P. Calabrese , V. Martin-Mayor , A. Pelissetto , E. Vicari

We investigate the thermodynamic properties of the frustrated bilayer quantum Heisenberg antiferromagnet at low temperatures in the vicinity of the saturation magnetic field. The low-energy degrees of freedom of the spin model are mapped…

Strongly Correlated Electrons · Physics 2007-05-23 Johannes Richter , Oleg Derzhko , Taras Krokhmalskii

The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at…

Strongly Correlated Electrons · Physics 2015-06-05 S. E. Korshunov

We present the high-temperature expansion up to 11th order for the specific heat $C$ and the uniform susceptibility $\chi_0$ and up to 9th order for the structure factor $S_{\bf Q}$ of the frustrated spin-half $J_1$-$J_2$ Heisenberg model…

Strongly Correlated Electrons · Physics 2016-09-23 Johannes Richter , Patrick Müller , Andre Lohmann , Heinz-Jürgen Schmidt

We study the spin-1/2 Ising-XXZ model on a decorated honeycomb lattice composed of five spins per unit cell, one Ising spin, and four Heisenberg spins. This model involving the Heisenberg exchange interaction is one of the few models that…

Statistical Mechanics · Physics 2022-07-20 Onofre Rojas

Within the tensor network framework, the (positive) thermal density operator can be approximated by a double layer of infinite Projected Entangled Pair Operator (iPEPO) coupled via ancilla degrees of freedom. To investigate the thermal…

Strongly Correlated Electrons · Physics 2021-02-03 Didier Poilblanc , Matthieu Mambrini , Fabien Alet

We analyze the dynamical nearest-neighbor and next-nearest-neighbor spin correlations in the 4-site and 8-site dynamical cluster approximation to the two-dimensional Hubbard model. Focusing on the robustness of these correlations at long…

Strongly Correlated Electrons · Physics 2020-04-22 Philipp Werner , Xi Chen , Emanuel Gull

We consider the quantum ferromagnetic Heisenberg model in three dimensions, for all spins $S\geq 1/2$. We rigorously prove the validity of the spin-wave approximation for the excitation spectrum, at the level of the first non-trivial…

Mathematical Physics · Physics 2019-08-13 Michele Correggi , Alessandro Giuliani , Robert Seiringer

We consider a quantum two-dimensional O(N)xO(2)/O(N-2)xO(2) nonlinear sigma model for frustrated spin systems and formulate its 1/N-expansion which involves fluctuating scalar and vector fields describing kinematic and dynamic interactions,…

Strongly Correlated Electrons · Physics 2009-09-01 A. N. Ignatenko , V. Yu. Irkhin , A. A. Katanin

The low-dimensional s=1/2 compound (NO)[Cu(NO3)3] has recently been suggested to follow the Nersesyan-Tsvelik model of coupled spin chains. Such a system shows unbound spinon excitations and a resonating valence bond ground state due spin…

Strongly Correlated Electrons · Physics 2022-06-08 V. Gnezdilov , P. Lemmens , Yu. G. Pashkevich , D. Wulferding , I. V. Morozov , O. S. Volkova , A. Vasiliev

The correlation length of the square-lattice spin-1/2 Heisenberg antiferromagnet is studied in the low-temperature (asymptotic-scaling) regime. Our novel approach combines a very efficient loop cluster algorithm -- operating directly in the…

Strongly Correlated Electrons · Physics 2009-10-30 B. B. Beard , R. J. Birgeneau , M. Greven , U. -J. Wiese
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