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We employ the recently proposed plaquette basis to investigate static and dynamic properties of isotropic 2-leg Heisenberg spin ladders. Simple non-interacting multi-plaquette states provide a remarkably accurate picture of the energy/site…

Strongly Correlated Electrons · Physics 2009-10-30 J. Piekarewicz , J. R. Shepard

The zero-temperature dynamical spin-spin correlation functions are calculated for the spin-1/2 two-leg Heisenberg ladder in a magnetic field above the lower critical field Hc1. The dynamical structure factors are calculated which exhibit…

Strongly Correlated Electrons · Physics 2009-10-31 A. Furusaki , S. C. Zhang

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

An effective low-energy description for multi-leg spin-1/2 Heisenberg ladders with an odd number of legs is proposed. Using a newly developed Monte Carlo loop algorithm and exact diagonalization techniques, the uniform and staggered…

Condensed Matter · Physics 2009-10-28 Beat Frischmuth , Stephan Haas , German Sierra , T. M. Rice

The Raman response in the antiferromagnetic 2-leg S=1/2 Heisenberg ladder is calculated for various couplings by continuous unitary transformations. For leg couplings above 80% of the rung coupling a characteristic 2-peak structure occurs…

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

The critical properties of the $S=1/2$ Heisenberg two-leg ladders are investigated in a magnetic field. Combining the exact diagonalization method and the finite-size-scaling analysis based on conformal field theory, we calculate the…

Strongly Correlated Electrons · Physics 2009-10-31 M. Usami , S. Suga

The temperature dependence of the uniform susceptibility and the ground state energy of antiferromagnetic Heisenberg ladders with up to 6 legs has been calculated, using the Monte Carlo loop algorithm. The susceptibilities of…

Condensed Matter · Physics 2007-05-23 Beat Frischmuth , Beat Ammon , Matthias Troyer

The ground state and low lying excitation of the spin 1/2 Heisenberg ladder with antiferromagnetic leg ($J$) and ferromagnetic rung ($-\lambda J, \lambda >0$) interaction is studied by means of the density matrix renormalization group…

Condensed Matter · Physics 2009-10-28 Kazuo Hida

We study two-leg Heisenberg ladder with four-spin cyclic interaction using the (dynamical) density-matrix renormalization group method. We demonstrate the dependence of the low-lying excitations in the spin wave, staggered dimer order, and…

Strongly Correlated Electrons · Physics 2009-11-13 S. Nishimoto , M. Arikawa

We present the phase diagram of the $S=1/2$ Heisenberg model on the two leg ladder with cyclic four spin exchange, determined by a combination of Exact Diagonalization and Density Matrix Renormalization Group techniques. We find six…

Strongly Correlated Electrons · Physics 2007-05-23 A. Laeuchli , G. Schmid , M. Troyer

The spin-1/2 zig-zag Heisenberg ladder (J_1 - J_2 model) is considered. A new representation for the model is found and a saddle point approximation over the spin-liquid order parameter < \vec \sigma_{n-1}(\vec \sigma_{n}\times \vec…

Strongly Correlated Electrons · Physics 2008-11-26 V. V. Mkhitaryan , T. A. Sedrakyan

A new model for a spin 1/2 ladder system with two legs is introduced. It is demonstrated that this model is solvable via the Bethe ansatz method for arbitrary values of the rung coupling J. This is achieved by a suitable mapping from the…

Statistical Mechanics · Physics 2009-10-31 Jon Links , Angela Foerster

We employ a classical limit grounded in SU(4) coherent states to investigate the temperature-dependent dynamical spin structure factor of the $S = 1/2$ ladder consisting of weakly coupled dimers. By comparing the outcomes of this classical…

Strongly Correlated Electrons · Physics 2024-12-25 David A. Dahlbom , Jinu Thomas , Steven Johnston , Kipton Barros , Cristian D. Batista

We study the time-dependent response of a Heisenberg spin ladder subjected to a time-dependent square form variation of its rung spin exchange coupling. To do so, we employ a field theoretic representation of the Heisenberg spin ladder…

Strongly Correlated Electrons · Physics 2023-08-31 Tianhao Ren , Robert M. Konik

A method is proposed to improve the accuracy of approximate techniques for strongly correlated electrons that use reduced Hilbert spaces. As a first step, the method involves a change of basis that incorporates exactly part of the short…

Statistical Mechanics · Physics 2009-10-30 E. Dagotto , G. B. Martins , J. Riera , A. L. Malvezzi , C. Gazza

We consider a symmetric spin-1/2 Ising-XXZ double sawtooth spin ladder obtained from distorting a spin chain, with the XXZ interaction between the interstitial Heisenberg dimers (which are connected to the spins based on the legs via an…

Statistical Mechanics · Physics 2017-10-25 Hamid Arian Zad , Nerses Ananikian

We explore the ground-state phase diagram of the $S=1/2$ two-leg ladder with different leg interactions. The $xy$ and $z$ components of the leg interactions between nearest-neighbor spins in the $a$ ($b$) leg are respectively denoted by…

Strongly Correlated Electrons · Physics 2018-09-17 Takashi Tonegawa , Toshiya Hikihara , Kiyomi Okamoto , Shunsuke C. Furuya , Tôru Sakai

A large variety of materials can be approximately described by means of spin-1/2 Heisenberg ladders. Here, the Density Matrix Renormalization Group (DMRG) algorithm together with a previously established numerical self-consistent mean-field…

Strongly Correlated Electrons · Physics 2026-02-18 Mateo Cárdenes Wuttig , Andrew J. Millis

We study the antiferromagnetic spin-half Heisenberg ladder in the presence of an additional frustrating rung spin which is motivated and relevant also for the description of real two-dimensional materials such as the two-dimensional trimer…

Strongly Correlated Electrons · Physics 2021-03-17 Andreas Weichselbaum , Weiguo Yin , Alexei M. Tsvelik

We derive a Hamiltonian for a two-leg ladder which includes an arbitrary number of charge and spin interactions. To illustrate this Hamiltonian we consider two examples and use a renormalization group technique to evaluate the ground state…

Strongly Correlated Electrons · Physics 2009-11-13 J. E. Bunder , Hsiu-Hau Lin
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