Static and Dynamic Magnetic Response of Fragmented Haldane-like Spin Chains in Layered Li₃Cu₂SbO₆

Abstract

The structure and the magnetic properties of layered Li 3 Cu 2 SbO 6 are investigated by powder X-ray diffraction, static susceptibility, and electron spin resonance studies up to 330 GHz.The XRD data experimentally verify the space group C2/m with halved unit cell volume in contrast to previously reported C2/c. In addition, the data show significant Li/Cu-intersite exchange. Static magnetic susceptibility and ESR measurements show two magnetic contributions, i.e. quasi-free spins at low-temperature and a spin-gapped magnetic subsystem, with about half of the spins being associated to each subsystem. The data suggest ferromagnetic-antiferromagnetic alternating chains with J FM = -285 K and J AFM = 160 K with a significant amount of Li-defects in the chains. The results are discussed in the scenario of fragmented 1D S = 1 AFM chains with a rather high defect concentration of about 17% and associated S = ½ edge states of the resulting finite Haldane chains.

Honeycomb layered oxides: structure, energy storage, transport, topology and relevant insights

“…Achieving the Hamiltonian given in eqn (1b) in a condensed matter system with J = 0 is considered to be the Holy Grail of topological quantum computing. 179,186 Honeycomb layered oxides consisting of alkali or coinage metal atoms sandwiched between slabs exclusively made of transition metal and chalcogen (or pnictogen) atoms, which are the prime focus of this review, typically exhibit Néel antiferromagnetic properties, [15][16][17][18][19][20][21][23][24][25][26][27][28]31,32,34,35,[37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][60][61][62]91 which suggests that the Heisenberg term ( J) dominates over the Kitaev term (K). Nonetheless, observing the K-QSL phase in honeycomb layered oxides based on magnetic transition atoms with 3d orbitals such as M = Co, has shown great promise due to the localised nature of the magnetic electrons which favour the chargetransfer phase 188 of the Mott insulator -a prerequisite for the realisation of the Kitaev-Heisenberg model.…”

“…8. [15][16][17][18][19][20][21][23][24][25][26][27][28]31,32,34,35,[37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][60][61][62]91 Another intriguing manifestation of anti-ferromagnetism is the manner in which the The magnetic transition temperatures of Na-based honeycomb layered oxides (that have mostly been subject of passionate research owing to their intriguing magnetism) has been highlighted for clarity to readers. [15][16][17][18][19][20][21][23][24][25][26][27][28]31,32,…”

An idealised approach of geometry and topology to the diffusion of cations in honeycomb layered oxide frameworks

“…Honeycomb layered oxides generally can be envisaged to adopt the following compositions of ordered s t r u c t u r e s : A + (A + 3/2 L 3+ 1/6 D 6+ 1/3 O 2 ) , where L can be Zn, Mn, Fe, Co, Cu,Ni, Cr, Mg ; D can be Bi, Te, Sb, Ta, Ir, Nb, W, Sn, Ru, Mo, Os ; A and A * can be alkali atoms (such as Li, Cu, K, Rb, Cs, Ag and Na with A = A * ), transition metal atoms, for instance Cu or noble metal atoms (e.g., Ag, Au, Pd, etc.) [1][2][3][4][5][8][9][10][11][17][18][19][20][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] .…”

“…In fact, there is a correlation between the stacking structure and the resulting electrochemical performance of the honeycomb layered oxides that can be traced to the differing sizes of the cations. For instance, cations with small ionic radii such as tend to form stronger inter-layer bonds as a result of the smaller inter-layer distance 2 , 18 , 22 – 25 , 28 , 30 , 31 , 33 , 37 – 40 . However, has a vastly larger ionic radius with a correspondingly larger inter-layer distance and hence forms weaker inter-layer bonds.…”

An Idealised Approach of Geometry and Topology to the Diffusion of Cations in Honeycomb Layered Oxide Frameworks

“…, where L can be Zn, Mn, Fe, Co, Cu,Ni, Cr, Mg ; D can be Bi, Te, Sb, Ta, Ir, Nb, W, Sn, Ru, Mo, Os ; A and A * can be alkali atoms (such as Li, Cu, K, Rb, Cs, Ag and Na with A = A * ), transition metal atoms, for instance Cu or noble metal atoms (e.g., Ag, Au, Pd, etc.) [1][2][3][4][5][8][9][10][11][17][18][19][20][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] .…”