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We have carried out theoretical studies of the phonons and spinons excitation spectra of $Sr_2CuO_3 $ in term of a one-dimensional model with non-adiabatic interaction magnetic and elastic subsystems using continuous time Monte Carlo…

Soft Condensed Matter · Physics 2007-05-23 S. S. Aplesnin

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

We investigate the antiadiabatic limit of an antiferromagnetic S=1/2 Heisenberg chain coupled to Einstein phonons via a bond coupling. The flow equation method is used to decouple the spin and the phonon part of the Hamiltonian. In the…

Strongly Correlated Electrons · Physics 2007-05-23 Carsten Raas , Ute Löw , Götz S. Uhrig , Rainer W. Kühne

Several experimental candidates for quantum spin liquids have been discovered in the past few years which appear to support gapless fermionic $S = {1\over 2}$ excitations called spinons. The spinons may form a Fermi sea coupled to a $U(1)$…

Strongly Correlated Electrons · Physics 2011-02-09 Yi Zhou , Patrick A Lee

The nature of quantum spin liquids is studied for the spin-$1/2$ antiferromagnetic Heisenberg model on a square lattice containing exchange interactions between nearest-neighbor sites, $J_1$, and those between next-nearest-neighbor sites,…

Strongly Correlated Electrons · Physics 2015-02-02 Satoshi Morita , Ryui Kaneko , Masatoshi Imada

CuGeO$_3$ has long been studied as a prototypical example of the spin-Peierls transition in a $S = 1/2$ Heisenberg chain. Despite intensive investigation of this quasi-one-dimensional material, systematic measurements and calculations of…

Strongly Correlated Electrons · Physics 2025-12-09 L. Spitz , A. Razpopov , S. Biswas , H. Lane , S. E. Nikitin , K. Iida , R. Kajimoto , M. Fujita , M. Arai , M. Mourigal , Ch. Rüegg , R. Valentí , B. Normand

We report results from a systematic strong-coupling expansion of a spin-1/2 Heisenberg chain coupled to Einstein phonons. In the non-adiabatic regime this model is used to describe zero temperature properties of CuGeO3. The linked cluster…

Strongly Correlated Electrons · Physics 2007-05-23 S. Trebst , N. Elstner , H. Monien

We consider the two-chain Heisenberg ladder with antiferromagnetic interactions. Our approach is based on the description of spin excitations as triplets above a strong-coupling singlet ground state. It is shown that interaction with…

Strongly Correlated Electrons · Physics 2009-10-31 O. P. Sushkov

We study spin dynamics of a spin-Peierls chain with nearest-neighbor and next-nearest-neighbor Heisenberg spin exchange interactions together with a gapped and dispersionless phonon. The dynamical spin correlation function and phonon…

Strongly Correlated Electrons · Physics 2012-05-17 Takanori Sugimoto , Shigetoshi Sota , Takami Tohyama

We study the level structure of excitations at the "deconfined" critical point separating antiferromagnetic and valence-bond-solid phases in two-dimensional quantum spin systems using the $J$-$Q$ model as an example. Energy gaps in…

Strongly Correlated Electrons · Physics 2016-10-18 Hidemaro Suwa , Arnab Sen , Anders W. Sandvik

Antiferromagnetic Heisenberg spin chains with various spin values ($S=1/2,1,3/2,2,5/2$) are studied numerically with the quantum Monte Carlo method. Effective spin $S$ chains are realized by ferromagnetically coupling $n=2S$…

Strongly Correlated Electrons · Physics 2009-10-30 Y. J. Kim , M. Greven , U. -J. Wiese , R. J. Birgeneau

We investigate the influence of the spin-phonon coupling in the triangular antiferromagnet where the coupling is of the exchange-striction type. The magnon dispersion is shown to be modified significantly at wave vector (2pi,0) and its…

Strongly Correlated Electrons · Physics 2011-11-09 Jung Hoon Kim , Jung Hoon Han

We develop an analytical approach based on a unitary transformation to investigate S=1/2 antiferromagnetic Heisenberg chains coupled to phonons, and find a new quantum phase transition at zero temperature. Although the usual phase…

Strongly Correlated Electrons · Physics 2015-05-30 Satoru Akiyama , Chitoshi Yasuda

We present results for the spin conductance of the one dimensional spin-1/2 Heisenberg and XY model coupled to phonons. We apply an approach based on the Stochastic Series Expansion (Quantum Monte Carlo) method to evaluate the conductance…

Strongly Correlated Electrons · Physics 2009-11-11 Kim Louis , Xenophon Zotos

We develop a theory of the spin-Peierls transition taking into account the three dimensional character of the phonon field. Our approach does not rely on the adiabatic or mean field treatment for the phonons. It is instead based in the…

Strongly Correlated Electrons · Physics 2007-11-05 A. O. Dobry , D. C. Cabra , G. L. Rossini

A quantum Monte Carlo algorithm is constructed starting from the standard perturbation expansion in the interaction representation. The resulting configuration space is strongly related to that of the Stochastic Series Expansion (SSE)…

Strongly Correlated Electrons · Physics 2009-10-30 A. W. Sandvik , R. R. P. Singh , D. K. Campbell

CuCrO2 is a manifestation of a two-dimensional triangular antiferromagnet which exhibits an incommensurate noncollinear magnetic structure similar to a classical 120 degree ordering. Using the inelastic neutron scattering technique, direct…

Strongly Correlated Electrons · Physics 2016-09-21 Kisoo Park , Joosung Oh , Jonathan C. Leiner , Jaehong Jeong , Kirrily C. Rule , Manh Duc Le , Je-Geun Park

We study the spin-Peierls transition in a Heisenberg spin chain coupled to optical bond-phonons. Quantum Monte Carlo results for systems with up to N=256 spins show unambiguously that the transition occurs only when the spin-phonon coupling…

Strongly Correlated Electrons · Physics 2009-10-31 Anders W. Sandvik , David K. Campbell

A quantum spin liquid (QSL) is an exotic insulating phase with emergent gauge fields and fractionalized excitations. However, the unambiguous demonstration of the existence of a QSL in a "non-engineered" microscopic model (or in any…

Strongly Correlated Electrons · Physics 2025-10-01 Xun Cai , Zhaoyu Han , Zi-Xiang Li , Steven A. Kivelson , Hong Yao

Inelastic neutron scattering is used to identify single-particle and continuum spin excitations in the quasi-one-dimensional $S=1/2$ antiferromagnet \ba. In the data analysis, close attention is given to resolution effects. A gap in the…

Strongly Correlated Electrons · Physics 2007-05-23 A. Zheludev , M. Kenzelmann , S. Raymond , T. Masuda , K. Uchinokura , S. -H. Lee
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