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We show that the continuum limit of the integrable XYZ spin-1/2 chain on a half-line gives rise to the boundary sine-Gordon theory using the perturbation method.

High Energy Physics - Theory · Physics 2009-10-31 Hiroshi Tsukahara , Takeo Inami

We reconsider the excitation spectra of a dimerized and frustrated antiferromagnetic Heisenberg chain. This model is taken as the simpler example of compiting spontaneous and explicit dimerization relevant for Spin-Peierls compounds. The…

Statistical Mechanics · Physics 2009-10-31 Ariel Dobry , David Ibaceta

We report density-matrix renormalization group calculations of spin gaps in the quarter-filled correlated two-leg rectangular ladder with bond-dimerization along the legs of the ladder. In the small rung-coupling region, dimerization along…

Strongly Correlated Electrons · Physics 2009-11-11 Y. Yan , S. Mazumdar , S. Ramasesha

The random antiferromagnetic spin-1/2 XX and XXZ chain is studied numerically for varying strength of the disorder, using exact diagonalization and stochastic series expansion methods. The spin-spin correlation function as well as the…

Strongly Correlated Electrons · Physics 2009-11-10 Nicolas laflorencie , Heiko Rieger , Anders W. Sandvik , Patrik Henelius

A two-leg spin-1/2 ladder with diagonal interactions is investigated numerically. We focus our attention on the possibility of columnar dimer phase, which was recently predicted based on a reformulated bosonization theory. By using density…

Strongly Correlated Electrons · Physics 2007-05-23 Hsiang-Hsuan Hung , Chang-De Gong , Yung-Chung Chen , Min-Fong Yang

The Haldane gap of the S=2 Heisenberg antiferromagnet in a one-dimensional linear chain is examined by a numerical-diagonalization method. A precise estimate for the magnitude of the gap is successfully obtained by a multistep…

Strongly Correlated Electrons · Physics 2018-09-12 Hiroki Nakano , Toru Sakai

We report on an experimental simulation of the spin-1 Heisenberg model with composite bosons in a one-dimensional chain based on the two-component Bose-Hubbard model. Exploiting our site-and spin-resolved quantum gas microscope, we observed…

For the model of frustrated spin-1/2 Heisenberg magnet described in A. A. Nersesyan and A. M. Tsvelik, (Phys. Rev. B{\bf 67}, 024422 (2003)) we calculate correlation functions of staggered magnetization and dimerization. The model is…

Strongly Correlated Electrons · Physics 2009-11-10 F. A. Smirnov , A. M. Tsvelik

Dimerization of a spin-half Heisenberg antiferromagnet on a square lattice is investigated by taking unexpanded exchange couplings. Several dimerized configurations are considered some of which are shown to have lower ground state energies…

Condensed Matter · Physics 2008-02-03 Aiman Al-Omari , A. H. Nayyar

We investigate the anti-adiabatic limit of an anti-ferromagnetic S=1/2 Heisenberg chain coupled to Einstein phonons. The flow equation method is used to decouple the spin and the phonon part of the Hamiltonian. In the effective spin model…

Strongly Correlated Electrons · Physics 2015-06-24 Carsten Raas , Alexander Bühler , Götz S. Uhrig

The spin-Peierls instability in spin 1/2 XY chain coupled to dispersionless phonons of frequency $\omega$ has been studied in the nonadiabatic limit. We have chosen the Lang-Firsov variational wave function for the phonon subsystem to…

Condensed Matter · Physics 2009-10-31 Shreekantha Sil

We study the effect of bond dissipation on the one-dimensional antiferromagnetic spin-$1/2$ Heisenberg model. In analogy to the spin-Peierls problem, the dissipative bath is described by local harmonic oscillators that modulate the spin…

Strongly Correlated Electrons · Physics 2023-10-19 Manuel Weber

The spontaneous dimerization of the frustrated spin-$1\over2$ antiferromagnetic chains is studied by a microscopic approach based on a proper set of composite operators (i.e., pseudo-spin operators). Two approximation schemes are developed.…

Condensed Matter · Physics 2009-10-22 Yang Xian

In this article, we study the one dimensional Heisenberg spin-1/2 alternating bond chain in which the nearest neighbor exchange couplings are ferromagnetic (FM) and antiferromagnetic (AF) alternatively. By using exact diagonalization and…

Strongly Correlated Electrons · Physics 2009-11-10 Hsiang-Hsuan Hung , Chang-De Gong

We consider the easy-plane anisotropic spin-1/2 Heisenberg chain in combined uniform longitudinal and transverse staggered magnetic fields. The low-energy limit of his model is described by the sine-Gordon quantum field theory. Using…

Strongly Correlated Electrons · Physics 2009-01-06 Igor Kuzmenko , Fabian H. L. Essler

We investigate the critical behavior of the S=1/2 alternating Heisenberg chain using the density matrix renormalization group (DMRG). The ground-state energy per spin and singlet-triplet energy gap are determined for a range of…

Statistical Mechanics · Physics 2007-05-23 T. Papenbrock , T. Barnes , D. J. Dean , M. V. Stoitsov , M. R. Strayer

Quantum synchronization among many spins is an intriguing domain of research. In this paper, we explore the quantum synchronization of two finite chains of spin-1/2 particles, via a nonlinear interaction mediated by a a central intermediary…

Quantum Physics · Physics 2024-08-13 Jatin Ghildiyal , Manju , Shubhrangshu Dasgupta , Asoka Biswas

The two-magnon-bound-state mass gap m_2 for the two-dimensional quantum Ising model was investigated by means of the numerical diagonalization method; the low-lying spectrum is directly accessible via the numerical diagonalization method.…

Statistical Mechanics · Physics 2015-06-22 Yoshihiro Nishiyama

We revisit the description of the low-energy singlet sector of the spin-1/2 Heisenberg antiferromagnet on kagome in terms of an effective quantum dimer model. With the help of exact diagonalizations of appropriate finite-size clusters, we…

Strongly Correlated Electrons · Physics 2014-09-16 Ioannis Rousochatzakis , Yuan Wan , Oleg Tchernyshyov , Frédéric Mila

Using the density matrix renormalization group and a bosonization approach, we study a spin-1/2 antiferromagnetic Heisenberg chain with near-neighbor coupling $J_1$ and frustrating second-neighbor coupling $J_2$, particularly in the limit…

Condensed Matter · Physics 2009-10-28 Steven R. White , Ian Affleck