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Related papers: Non-perturbative linked-cluster expansions in long…

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We study spin-$1/2$ chains with long-range power-law decaying unfrustrated (bipartite) Heisenberg exchange $J_r \propto r^{-\alpha}$ and multi-spin interactions $Q$ favoring a valence-bond solid (VBS) ground state. Employing quantum Monte…

Computational Physics · Physics 2020-01-13 Sibin Yang , Dao-Xin Yao , Anders W. Sandvik

Properly spin-adapted coupled-cluster theory for general open-shell configurations remains an active area of research in electronic structure theory. In this contribution we examine Lindgren's normal-ordered exponential ansatz to correlate…

Chemical Physics · Physics 2024-10-02 Alexander Gunasekera , Nicholas Lee , David P. Tew

We apply the linear $\delta$-expansion (LDE), originally developed as a nonperturbative, analytical approximation scheme in quantum field theory, to problems involving noninteracting electrons in disordered solids. The initial idea that the…

Disordered Systems and Neural Networks · Physics 2009-10-30 M. P. Blencowe , A. P. Korte

We consider translationally invariant quantum spin-$\frac{1}{2}$ chains with local interactions and a discrete symmetry that is spontaneously broken at zero temperature. We envision experimenters switching off the couplings between two…

Statistical Mechanics · Physics 2025-07-08 Vanja Marić , Florent Ferro , Maurizio Fagotti

Higher-order tree-level processes in strong laser fields, i.e. cascades, are in general extremely difficult to calculate, but in some regimes the dominant contribution comes from a sequence of first-order processes, i.e. nonlinear Compton…

High Energy Physics - Phenomenology · Physics 2020-08-05 Victor Dinu , Greger Torgrimsson

Quantum cluster approaches offer new perspectives to study the complexities of macroscopic correlated fermion systems. These approaches can be understood as generalized mean-field theories. Quantum cluster approaches are non-perturbative…

Strongly Correlated Electrons · Physics 2009-11-10 Th. Maier , M. Jarrell , Th. Pruschke , M. H. Hettler

The mixed spin-1 and spin-1/2 Heisenberg octahedral chain with regularly alternating monomeric spin-1 sites and square-plaquette spin-1/2 sites is investigated using variational technique, localized-magnon approach, exact diagonalization…

Statistical Mechanics · Physics 2020-07-06 Katarina Karlova , Jozef Strecka , Taras Verkholyak

We introduce a numerical linked cluster expansion for square-lattice models whose building block is an L-shape cluster. For the spin-1/2 models studied in this work, we find that this expansion exhibits a similar or better convergence of…

Statistical Mechanics · Physics 2025-07-10 Mahmoud Abdelshafy , Marcos Rigol

Within the framework of imaginary-time evolution for matrix product states, we introduce a cluster version of the infinite time-evolving block decimation algorithm for simulating quantum many-body systems, addressing the computational…

Strongly Correlated Electrons · Physics 2025-09-01 Tao Yang , Rui Wang , Z. Y. Xie , Baigeng Wang

Based on the self-energy-functional approach proposed recently [M. Potthoff, Eur. Phys. J. B 32, 429 (2003)], we present an extension of the cluster-perturbation theory to systems with spontaneously broken symmetry. Our method applies to…

Strongly Correlated Electrons · Physics 2007-05-23 C. Dahnken , M. Aichhorn , W. Hanke , E. Arrigoni , M. Potthoff

We discuss the application of an extended version of the coupled cluster method to systems exhibiting a quantum phase transition. We use the lattice O(4) non-linear sigma model in (1+1)- and (3+1)-dimensions as an example. We show how…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. E. Ligterink , N. R. Walet , R. F. Bishop

We study the ground-state phase diagram of a spin-1 Heisenberg chain with staggered long-range (LR) interactions decaying as $\propto r^{-\alpha}$ using a quantum Monte Carlo approach based on the split-spin representation. This formulation…

Strongly Correlated Electrons · Physics 2026-04-23 Justin Tim-Lok Chau , Jiarui Zhao , Nicolas Laflorencie , Zi Yang Meng

We explore the phase diagram of the Kitaev-Heisenberg model with nearest neighbor interactions on the honeycomb lattice using the exact diagonalization of finite systems combined with the cluster mean field approximation, and supplemented…

Strongly Correlated Electrons · Physics 2017-02-01 Dorota Gotfryd , Juraj Rusnačko , Krzysztof Wohlfeld , George Jackeli , Jiří Chaloupka , Andrzej M. Oleś

A method based on Rayleigh-Schroedinger perturbation theory is developed that allows to obtain high-order series expansions for ground-state properties of quantum lattice models. The approach is capable of treating both lattice geometries…

Statistical Mechanics · Physics 2009-06-29 Andre Eckardt

Ground state energies for plaquette and dimer order in the $J_1-J_2$ square-lattice spin-half Heisenberg model are compared using series expansion methods. We find that these energies are remarkably close to each other at intermediate…

Strongly Correlated Electrons · Physics 2009-10-31 Rajiv R. P. Singh , Zheng Weihong , C. J. Hamer , J. Oitmaa

Motivated by the largely unexplored domain of multi-polar ordered spin states in the Kitaev-Heisenberg (KH) systems we investigate the ground state dynamics of the spin-$\frac{1}{2}$ KH model, focusing on quadrupolar (QP) order in 2-leg…

Strongly Correlated Electrons · Physics 2025-03-28 Manodip Routh , Sayan Ghosh , Jeroen van den Brink , Satoshi Nishimoto , Manoranjan Kumar

Spin ensembles coupled to optical cavities provide a powerful platform for engineering synthetic quantum matter. Recently, we demonstrated that cavity mediated infinite range interactions can induce fast scrambling in a Heisenberg $XXZ$…

Quantum Physics · Physics 2021-08-19 Zehan Li , Sayan Choudhury , W. Vincent Liu

The quantum-statistical cluster expansion method of Lee and Yang is extended to investigate off-diagonal long-range order (ODLRO) in one- and multi-component mixtures of bosons or fermions. Our formulation is applicable to both a uniform…

Quantum Gases · Physics 2012-04-05 Naoyuki Sakumichi , Norio Kawakami , Masahito Ueda

The phase diagram of the quantum dimer model on the hexagonal (honeycomb) lattice is computed numerically, extending on earlier work by Moessner, Sondhi, and Chandra. The different ground state phases are studied in detail using several…

Strongly Correlated Electrons · Physics 2017-12-06 Thiago M. Schlittler , Rémy Mosseri , Thomas Barthel

In this work, building on state-of-the-art quantum Monte Carlo simulations, we perform systematic finite-size scaling of both entanglement and participation entropies for long-range Heisenberg chain with unfrustrated power-law decaying…

Strongly Correlated Electrons · Physics 2025-01-08 Jiarui Zhao , Nicolas Laflorencie , Zi Yang Meng