We study the field dependence of the antiferromagnetic spin-1/2 Heisenberg model on the square lattice by means of exact diagonalizations. In a first part, we calculate the spin-wave velocity, the spin-stiffness, and the magnetic susceptibility and thus determine the microscopic parameters of the low-energy long-wavelength description. In a second part, we present a comprehensive study of dynamical spin correlation functions for magnetic fields ranging from zero up to saturation. We find that at low fields, magnons are well defined in the whole Brillouin zone, but the dispersion is substantially modified by quantum fluctuations compared to the classical spectrum. At higher fields, decay channels open and magnons become unstable with respect to multi-magnon scattering. Our results directly apply to inelastic neutron scattering experiments.
Low temperature ballistic spin transport in the S=1/2 antiferromagnetic Heisenberg chain compound SrCuO2
我们报道了自旋S=1/2反铁磁海森堡链材料SrCuO 2的零磁场和纵向磁场μ子自旋弛豫测量结果。我们发现，在弱的外加磁场B中，自旋-晶格弛豫速率服从幂律B^n，其中n=-0.9（3）。该结果对于5 K < T < 300 K是温度无关的。在共形场论和使用Müller的计算，我们得出弹道自旋输运SrCuO 2。
The magnetization process of the $S=1$ antiferromagnetic chain with the single-ion anisotropy $D$ and the biquadratic interaction is investigated using the numerical diagonalization. Both interactions stabilize the 2-magnon Tomonaga-Luttinger liquid (TLL) phase in the magnetization process. Based on several excitation gaps calculated by the numerical diagonalization, some phase diagrams of the magnetization process are presented. These phase diagrams reveal that the spin nematic dominant TLL phase appears at higher magnetizations for sufficiently large negative $D$.
Traditional spectroscopy, by its very nature, characterizes properties of physical systems in the momentum and frequency domains. The most interesting and potentially practically useful quantum many-body effects however emerge from the deep composition of local, short-time correlations. Here, using inelastic neutron scattering and methods of integrability, we experimentally observe and theoretically describe a local, coherent, long-lived, quasiperiodically oscillating magnetic state emerging out of the distillation of propagating excitations following a local quantum quench in a Heisenberg ant…
S=1/2 antiferromagnetic Heisenberg chain with staggered fields: Copper pyrimidine and copper benzoate using the density matrix renormalization group for transfer matrices
Magnetic field effects on two-leg Heisenberg antiferromagnetic ladders: Thermodynamic properties
利用最近发展起来的转移矩阵重整化群方法，研究了磁场中两条腿反铁磁梯的热力学性质。基于不同的磁化行为，我们发现了无序自旋液体，Luttinger液体，自旋极化相和依赖于磁场和温度的经典制度。我们在Luttinger液相区的计算表明，在Cu $_2$（C $_5$ H $_{12}$ N $_2$）$_2$ Cl $_4$ }上观察到的NMR弛豫速率发散和反常比热行为都是由于准一维效应而不是三维有序.
Magnetic phase diagrams and magnetization plateaus of the spin-1/2 antiferromagnetic Heisenberg model on square-kagome lattice with three nonequivalent exchange interactions
We investigate the Heisenberg model on a decorated square (Fisher) lattice in the presence of first-neighbor $J_{1}$, second-neighbor $J_{2}$, and third-neighbor $J_{3}$ exchange couplings, with antiferromagnetic $J_{1}$. The classical ground-state phase diagram obtained within a Luttinger-Tisza framework is spanned by two antiferromagnetically ordered phases, and an infinitely degenerate antiferromagnetic chain phase. Employing classical Monte Carlo simulations we show that thermal fluctuations fail to lift the degeneracy of the antiferromagnetic chain phase. Interestingly, the spin-wave spec…
Magnetism of Cu_6 Ge_6 O_{18}-x H_2 O (x = 0 ~ 6), a compound of the one-dimensional Heisenberg $S = 1/2$ model with competing antiferromagnetic interactions
我们测量了Cu $_6$ Ge $_6$ O $_{18}$ -xH $_2$ O（$x = 0 \sim 6$）的磁化率.反铁磁（AF）转变温度（$T_{\rm N}$）以上的磁化率同意与竞争AF相互作用的一维海森堡$S = 1/2$模型的磁化率。从最近邻和次最近邻AF交换相互作用之间的估计比率，自旋系统可能位于具有无隙和有隙磁激发的自旋系统之间的边界附近。$T_{\rm N}/T_{\rm max}$的值（其中$T_{\rm max}$是磁化率最大时的温度）显示出对$x$的独特依赖性。$x$依赖性可以定性地解释作为$x$的函数的相变和无序的影响考虑。
用浮区法生长了新化合物SrMn $_2$ V $_2$ O $_8$的大单晶。该过渡金属基氧化物与SrNi $_2$ V $_2$ O $_8$同构，由四元空间群$I4_1cd$描述。通过磁化率，磁化强度和比热测量的磁性能进行了研究。标题化合物在有序温度（$T_N$ = 43 K）以上表现为一维磁性体系。磁基态可以描述为一个经典的长程有序反铁磁体，具有弱的各向异性。
Ground-state properties of the spin-1/2 antiferromagnetic Heisenberg model on the triangular lattice: A variational study based on entangled-plaquette states
We study the spectrum and the nature of the excitations of an antiferromagnetic (AFM) Heisenberg chain with staggered long range interactions, both numerically using the time-dependent density matrix renormalization group (tDMRG) method and by means of a multi-spinon approximation that qualitatively explains its main features. The unfrustrated long-range nature of the exchange effectively increases the dimensionality of the system and the chain is able to undergo true symmetry breaking and develop long range order, transitioning from a gapless spin liquid to a gapless ordered AFM phase. We cal…
The antiferromagnetic Heisenberg model is considered for spins $s_{i}={1/2}$ located on the vertices of the dodecahedron and the icosahedron, which belong to the point symmetry group $I_{h}$. Taking into account the permutational and spin inversion symmetries of the Hamiltonian results in a drastic reduction of the dimensionality of the problem, leading to full diagonalization for both clusters. There is a strong signature of the frustration present in the systems in the low energy spectrum, where the first excited states are singlets. Frustration also results in a doubly-peaked specific heat …
