A model of coupled antiferromagnetic spin-1/2 Heisenberg ladders is studied with numerical techniques. In the case of ferromagnetic interladder coupling we find that the dynamic and static structure factor has a peak at $(\ensuremath{\pi},\ensuremath{\pi}/2)$ where the first (second) direction is along (transversal) to the ladders. In addition, we suggest that the intensity of this peak and the spin-spin correlation at the maximum distance along the ladder direction remain finite in the bulk limit for strong enough interladder coupling. We discuss the relevance of these results for magnetic compounds containing ladders coupled in a trellis lattice and for the stripe scenario in high- ${T}_{c}$ superconducting cuprates.A model of coupled antiferromagnetic spin-1/2 Heisenberg ladders is studied with numerical techniques. In the case of ferromagnetic interladder coupling we find that the dynamic and static structure factor has a peak at $(\ensuremath{\pi},\ensuremath{\pi}/2)$ where the first (second) direction is along (transversal) to the ladders. In addition, we suggest that the intensity of this peak and the spin-spin correlation at the maximum distance along the ladder direction remain finite in the bulk limit for strong enough interladder coupling. We discuss the relevance of these results for magnetic compounds containing ladders coupled in a trellis lattice and for the stripe scenario in high-${T}_{c}$ superconducting cuprates.

arXiv:cond-mat/9911271Physical review. B, Condensed matterJul 1, 200017 citations

Theory of Spin Correlations in Antiferromagnetic Spin Ladders

Alexei M. Tsvelik

APSMar 1, 19970 citations

Ferrimagnetic mixed-spin ladders in weak- and strong-coupling limits

D. N. Aristov, Mikhail N. Kiselev

We study two similar spin ladder systems with the ferromagnetic leg coupling. The first model includes two sorts of spins $s=1∕2$ and 1, and the second model comprises only $s=1∕2$ legs coupled by a ``triangular'' rung exchange. We show that the antiferromagnetic (AF) rung coupling destroys the long-range order and eventually makes the systems equivalent to the AF $s=1∕2$ Heisenberg chain. We study the crossover from the weak- to strong-coupling regime by different methods, particularly by comparing the results of the spin-wave theory and the bosonization approach. We argue that the crossover regime is characterized by the gapless spectrum and nonuniversal critical exponents are different from those in $XXZ$ model.We study two similar spin ladder systems with the ferromagnetic leg coupling. The first model includes two sorts of spins $s=1∕2$ and 1, and the second model comprises only $s=1∕2$ legs coupled by a ``triangular'' rung exchange. We show that the antiferromagnetic (AF) rung coupling destroys the long-range order and eventually makes the systems equivalent to the AF $s=1∕2$ Heisenberg chain. We study the crossover from the weak- to strong-coupling regime by different methods, particularly by comparing the results of the spin-wave theory and the bosonization approach. We argue that the crossover regime is characterized by the gapless spectrum and nonuniversal critical exponents are different from those in $XXZ$ model.

arXiv:cond-mat/0401264Physical Review BDec 2, 200410 citations

Quantum phase transitions in a spin ladder with long-range couplings

Junpeng Cao, Gang Xiong, Xin Xie +2 more

Nuclear Physics BOct 13, 20050 citations

{T}_{c}

superconducting cuprates.

We study two similar spin ladder systems with the ferromagnetic leg coupling. The first model includes two sorts of spins

s=1∕2

and 1, and the second model comprises only

s=1∕2

legs coupled by a ``triangular'' rung exchange. We show that the antiferromagnetic (AF) rung coupling destroys the long-range order and eventually makes the systems equivalent to the AF

s=1∕2

Heisenberg chain. We study the crossover from the weak- to strong-coupling regime by different methods, particularly by comparing the results of the spin-wave theory and the bosonization approach. We argue that the crossover regime is characterized by the gapless spectrum and nonuniversal critical exponents are different from those in

XXZ

model.