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Related papers: Perturbation Theory for Spin Ladders Using Angular…

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We study the entanglement spectrum of spin-1/2 XXZ ladders both analytically and numerically. Our analytical approach is based on perturbation theory starting either from the limit of strong rung coupling, or from the opposite case of…

Strongly Correlated Electrons · Physics 2012-02-23 Andreas M. Läuchli , John Schliemann

Despite nearly a century of study of the $S=1/2$ Heisenberg model on the square lattice, there is still disagreement on the nature of its high-energy excitations. By tuning toward the Heisenberg model from the exactly soluble Ising limit,…

Strongly Correlated Electrons · Physics 2018-10-03 Ruben Verresen , Frank Pollmann , Roderich Moessner

Spin-wave perturbation theory for the Heisenberg antiferromagnet at zero temperature is used to compute the finite-lattice corrections to the ground state energy, the staggered magnetization and the energy gap. The dispersion relation, the…

Condensed Matter · Physics 2009-10-22 Zheng Weihong , C. J. Hamer

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

We address the problem of analyzing the radius of convergence of perturbative expansion of non-equilibrium steady states of Lindblad driven spin chains. A simple formal approach is developed for systematically computing the perturbative…

Quantum Physics · Physics 2017-05-03 Humberto C. F. Lemos , Tomaž Prosen

The excitation spectrum of the 2-leg S=1/2 Heisenberg ladder is examined perturbatively. Using an optimally chosen continuous unitary transformation we expand the Hamiltonian and the Raman operator about the limit of isolated rungs leading…

Strongly Correlated Electrons · Physics 2009-11-07 Christian Knetter , Kai P. Schmidt , Götz S. Uhrig

We investigate the spin-1/2 Heisenberg model on a rectangular lattice, using the Gutzwiller projected variational wave function known as the staggered flux state. Using Monte Carlo techniques, the variational parameters and static…

Strongly Correlated Electrons · Physics 2021-01-04 N. E. Shaik , B. Dalla Piazza , D. A. Ivanov , H. M. Rønnow

We study the T = 0 magnetization of frustrated two-leg spin ladders with arbitrary value of the spin S. In the strong rung limit, we use degenerate perturbation theory to prove that frustration leads to magnetization plateaux at fractional…

Strongly Correlated Electrons · Physics 2010-02-01 F. Michaud , T. Coletta , S. R. Manmana , J. -D. Picon , F. Mila

We calculate perturbative Wilson loops of various sizes up to loop order $n=20$ at different lattice sizes for pure plaquette and tree-level improved Symanzik gauge theories using the technique of Numerical Stochastic Perturbation Theory.…

High Energy Physics - Lattice · Physics 2010-10-25 R. Horsley , G. Hotzel , E. -M. Ilgenfritz , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

The entanglement perturbation theory is developed to calculate the excitation spectrum in one dimension. Applied to the spin-$\frac{1}{2}$ antiferromagnetic Heisenberg model, it reproduces the des Cloiseaux-Pearson Bethe ansatz result. As…

Strongly Correlated Electrons · Physics 2015-05-19 Sung Gong Chung , Lihua Wang

We systematically investigate the stability of the symmetry-protected topological (SPT) Haldane phase in spin-1/2 Heisenberg and half-filled Hubbard ladders coupled by ferromagnetic Hund's interactions. Using density-matrix renormalization…

Strongly Correlated Electrons · Physics 2025-10-15 Satoshi Nishimoto

We study properties of two-leg Heisenberg spin ladders in a mean-field approximation using a variety of angular-momentum coupled bases. The mean-field theory proposed by Gopalan, Rice, and Sigrist, which uses a rung basis, assumes that the…

Strongly Correlated Electrons · Physics 2009-02-05 J. Piekarewicz , J. R. Shepard

In this paper, we study the thermodynamic properties of spin-$1/2$ antiferromagnetic Heisenberg ladders by means of the stochastic series expansion quantum Monte Carlo technique. This includes the thermal properties of the specific heat,…

Statistical Mechanics · Physics 2024-04-01 Erol Vatansever , Georgi G. Grahovski , Nikolaos G. Fytas

The perturbation method is an approximation scheme with a solvable leading order. The standard way is to choose a non-interacting sector for the leading order. The adaptive perturbation method improves the solvable part by using all…

High Energy Physics - Theory · Physics 2022-10-17 Chen-Te Ma

The magnetization, $M(H \leq 30$ T, 0.7 K $\leq T \leq 300$ K), from single crystals and powder samples of (C$_{5}$H$_{12}$N)$_{2}$CuBr$_{4}$ has been used to identify this system as an $S=1/2$ Heisenberg two-leg ladder in the strong…

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

Strongly Correlated Electrons · Physics 2021-11-16 Nikita Astrakhantsev , Tom Westerhout , Apoorv Tiwari , Kenny Choo , Ao Chen , Mark H. Fischer , Giuseppe Carleo , Titus Neupert

We investigate the N-leg spin-S Heisenberg Ladders by using the density matrix renormalization group method. We present estimates of the spin gap $\Delta_{s}$ and of the ground state energy per site $e_{\infty}^{N}$ in the thermodynamic…

Strongly Correlated Electrons · Physics 2014-04-10 F. B. Ramos , J. C. Xavier

We compute the bipartite entanglement properties of the spin-half square-lattice Heisenberg model by a variety of numerical techniques that include valence bond quantum Monte Carlo (QMC), stochastic series expansion QMC, high temperature…

Strongly Correlated Electrons · Physics 2013-04-16 Ann B. Kallin , Matthew B. Hastings , Roger G. Melko , Rajiv R. P. Singh

We study the low-energy properties of a Heisenberg spin-1/2 zigzag ladder with different exchange constants on the two chains. Using a nonlinear sigma-model field theory and abelian bosonization, we find that the excitations are gapless,…

Strongly Correlated Electrons · Physics 2009-11-07 Sujit Sarkar , Diptiman Sen

We present a manifestly rotational invariant formulation of the matrix product method valid for spin chains and ladders. We apply it to 2 legged spin ladders with spins 1/2, 1 and 3/2 and different magnetic structures labelled by the…

Strongly Correlated Electrons · Physics 2009-10-31 J. M. Roman , G. Sierra , J. Dukelsky , M. A. Martin-Delgado