Quantum phase transitions in the S=1/2 distorted diamond chain

By means of the second derivative of the ground-state and first-excited energy, the quantum phase transitions (QPTs) for the distorted diamond chain (DDC) with ferromagnetic and antiferromagnetic frustrated interactions and the trimerized case are investigated, respectively. Our results show the plentiful quantum phases owing to the spin interaction competitions in the model. Meanwhile, by using the transfer-matrix renormalization-group technique, we study the two-site thermal entanglement of the DDC model in the thermodynamic limit for a further understanding of the QPTs.

STRUCTURE OF 1,10-DIAMINODECANE TETRACHLOROZINCATE

[NH3(CH2)10NH3][ZnCl4], M(r) = 381.51, triclinic, P1BAR, a = 7.296 (1), b = 10.110 (3), c = 12.814 (4) angstrom, alpha = 90.84 (2), beta = 101.17 (2), gamma = 92.52 (2)-degrees, V = 926.13 angstrom 3, Z = 2, D(x) = 1.37 Mg m-3, lambda(Mo K-alpha) = 0.71073 angstrom, mu = 1.925 mm-1, F(000) = 396, T = 298 K, final R = 0.070 for 1237 unique reflections [I > 3-sigma(I)]. The structure is characterized by layers of inorganic ions sandwiched between layers formed by the paraffinic chains.

STRUCTURE OF CIS-DIAQUABIS(1,10-PHENANTHROLINE)ZINC SULFATE HEXAHYDRATE

[Zn(C12H8N2)2(H2O)2]SO4.6H2O, M(r) = 665.98, triclinic, P1BAR, a = 10.070 (4), b = 12.280 (3), c = 13.358 (2) angstrom, alpha = 109.12 (2), beta = 92.58 (2), gamma = 110.85 (2)-degrees, V = 1433.9 (7) angstrom 3, Z = 2, D(x) = 1.54 g cm-3, lambda(Mo K-alpha) = 0.71069 angstrom, mu = 10.1 cm-1, F(000) = 692, T = 293 K, R = 0.044 for 3985 observed reflections. The Zn atom is coordinated in a distorted octahedral geometry by four N atoms from two 1,10-phenanthroline (phen) ligands and two water molecules. The intermolecular ring-stacking interactions between the phen ligands occur in two forms: infinite chains and discrete dimers. Hydrogen bonds further stabilize the structure.