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We study a model of two weakly coupled isotropic spin-1/2 Heisenberg chains with an antiferromagnetic coupling along the chains. It is shown that the system always has a spectral gap. For the case of identical chains the model in the…

Condensed Matter · Physics 2009-10-28 D. G. Shelton , A. A. Nersesyan , A. M. Tsvelik

Using the 2D Jordan-Wigner transformation we reformulate the square-lattice s=1/2 XY (XZ) model in terms of noninteracting spinless fermions and examine the ground-state and thermodynamic properties of this spin system. We consider the…

Condensed Matter · Physics 2009-11-07 Oleg Derzhko , Taras Verkholyak , Reimar Schmidt , Johannes Richter

A continuum limit treatment of planar spin chains with arbitrary S is presented. The difference between integer and half-integer spins is emphasised. While isotropic half-integer spin chains are gapless,and have power-law decay of…

Other Condensed Matter · Physics 2016-12-02 F. D. M. Haldane

In this paper, based on a one-dimensional non-Hermitian spin model with $\mathcal{RT}$-invariant term, we study the non-Hermitian physics for the two (nearly) degenerate ground states. By using the high-order perturbation method, an…

Statistical Mechanics · Physics 2020-03-25 Can Wang , Meng-Lei Yang , Cui-Xian Guo , Xiao-Ming Zhao , Su-Peng Kou

We present a simple method, combining the density-matrix renormalization-group (DMRG) algorithm with finite-size scaling, which permits the study of critical behavior in quantum spin chains. Spin moments and dimerization are induced by…

Strongly Correlated Electrons · Physics 2009-10-31 Shan-Wen Tsai , J. B. Marston

We have used time-of-flight inelastic neutron scattering to measure the spin wave spectrum of the canonical half-doped manganite Pr$_{0.5}$Ca$_{0.5}$MnO$_{3}$, in its magnetic and orbitally ordered phase. The data, which cover multiple…

Strongly Correlated Electrons · Physics 2016-07-25 R. A. Ewings , T. G. Perring , O. Sikora , D. L. Abernathy , Y. Tomioka , Y. Tokura

We use the density matrix renormalization group method (DMRG) to compute the frequency and momentum resolved spin-spin correlation functions of a dimerized spin-1/2 chain under a magnetic field at finite temperature. The spectral features…

Strongly Correlated Electrons · Physics 2018-10-09 Emanuele Coira , Peter Barmettler , Thierry Giamarchi , Corinna Kollath

Under the second-order degenerate perturbation theory, we show that the physics of $N$ particles with arbitrary spin confined in a one dimensional trap in the strongly interacting regime can be described by super-exchange interaction. An…

Quantum Gases · Physics 2015-04-30 Li Yang , Liming Guan , Han Pu

We consider the dimerized spin-1/2 Heisenberg chain with spin hexameric distortion of the exchange pattern and study the zero-temperature phase diagram in the parameter space $(J_{1}, J_{2}, J_{3})$ by continuum-limit bosonization approach…

Strongly Correlated Electrons · Physics 2014-05-06 Mahboobeh Shahri Naseri , George I. Japaridze , Saeed Mahdavifar , Saber Farjami Shayesteh

The spin-$1/2$ chain with antiferromagnetic exchange $J_1$ and $J_2 = \alpha J_1$ between first and second neighbors, respectively, has both gapless and gapped ($\Delta(\alpha) > 0$) quantum phases at frustration $0 \le \alpha \le 3/4$. The…

Strongly Correlated Electrons · Physics 2020-12-02 Sudip Kumar Saha , Manoranjan Kumar , Zoltán G. Soos

The spin-Peierls transition in the ground state of a quasi-one-dimensional spin-1/2 Heisenberg model coupled to adiabatic bond phonons is studied using a quantum Monte Carlo (QMC) method. The transition from a gapless Neel state to a…

Strongly Correlated Electrons · Physics 2007-05-23 Pinaki Sengupta

We present a set of {\em optimum ground states} for a large class of spin-$\frac{3}{2}$ chains. Such global ground states are simultaneously ground states of the local Hamiltonian, i.e. the nearest neighbour interaction in the present case.…

Condensed Matter · Physics 2009-10-28 H. Niggemann , J. Zittartz

We consider a spin-$\frac{1}{2}$ kagome-like chain with competing ferro- and antiferromagnetic anisotropic exchange interactions. The ground state phase diagram of this model consists of the ferromagnetic and ferrimagnetic phases. We study…

Strongly Correlated Electrons · Physics 2018-12-31 D. V. Dmitriev , V. Ya. Krivnov

Magnetic adatom chains on superconductors provide a platform to explore correlated spin states and emergent quantum phases. Using low-temperature scanning tunneling spectroscopy, we study the distance-dependent interaction between Fe atoms…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Lisa M. Rütten , Eva Liebhaber , Gael Reecht , Kai Rossnagel , Katharina J. Franke

The zero and finite temperature spin-Peierls transitions in a quasi-one-dimensional spin-1/2 Heisenberg model coupled to adiabatic bond phonons is investigated using the Stochastic Series Expansion (SSE) Quantum Monte Carlo (QMC) method.…

Strongly Correlated Electrons · Physics 2013-10-04 Jason Cornelius Pillay , Keola Wierschem , Pinaki Sengupta

The ground-state phases of alternating-bond spin-1 diamond chains are investigated. Each ground state consists of an array of spin clusters separated by singlet dimers owing to an infinite number of local conservation laws. If no singlet…

Strongly Correlated Electrons · Physics 2020-01-31 Kazuo Hida

Dynamic spin correlation function of the $S=1/2$ antiferromagnetic spin chain with alternating nearest neighbor and competing next nearest neighbor interactions is studied using the numerical diagonalization method. We find characteristics…

Condensed Matter · Physics 2009-10-31 Shigeyoshi Mori , Isao Harada , Takashi Tonegawa

Using tensor network states to unravel the physics of quantum spin liquids in minimal, yet generic microscopic spin or electronic models remains notoriously challenging. A prominent open question concerns the nature of the insulating ground…

Strongly Correlated Electrons · Physics 2020-10-22 Amir M Aghaei , Bela Bauer , Kirill Shtengel , Ryan V. Mishmash

The antiferromagnetic Heisenberg spin systems on the three-leg ladder are investigated. Periodic boundary condition is imposed in the rung direction. The system has an excitation gap for all antiferromagnetic inter-chain coupling…

Statistical Mechanics · Physics 2009-10-30 Kenro Kawano , Minoru Takahashi

We study numerically the ground-state phase diagram of the bilinear-biquadratic spin-1 chain near the ferromagnetic instability point, where the existence of a gapped or gapless nondimerized quantum nematic phase has been suggested. Our…

Strongly Correlated Electrons · Physics 2016-08-16 K. Buchta , G. Fáth , Ö. Legeza , J. Sólyom