Crystal structure and magnetic properties of the spin- 12 frustrated two-leg ladder compounds (C4H14N

We have successfully synthesized single crystals, solved the crystal structure, and studied the magnetic properties of a new family of copper halides $({\mathrm{C}}_{4}{\mathrm{H}}_{14}{\mathrm{N}}_{2}){\mathrm{Cu}}_{2}{X}_{6}$ $(X=\mathrm{Cl},\mathrm{Br})$. These compounds crystallize in an orthorhombic crystal structure with space group $Pnma$. The crystal structure features ${\mathrm{Cu}}^{2+}$ dimers arranged parallel to each other that makes a zigzag two-leg ladderlike structure. Further, there exists a diagonal interaction between two adjacent dimers which generates interdimer frustration. Both the compounds manifest a singlet ground state with a large gap in the excitation spectrum. Magnetic susceptibility is analyzed in terms of both interacting spin-$\frac{1}{2}$ dimer and two-leg ladder models followed by exact diagonalization calculations. Our theoretical calculations in conjunction with the experimental magnetic susceptibility establish that the spin lattice can be described well by a frustrated two-leg ladder model with strong rung coupling [${J}_{0}/{k}_{\mathrm{B}}=116.0(2)$ and 300.0(2) K], weak leg coupling [${J}^{\ensuremath{'}\ensuremath{'}}/{k}_{\mathrm{B}}=18.6(2)$ and 105.0(2) K], and equally weak diagonal coupling [${J}^{\ensuremath{'}}/{k}_{\mathrm{B}}=23.2(2)$ and 90.0(2) K] for Cl and Br compounds, respectively. These exchange couplings set the critical fields very high, making them experimentally inaccessible. The correlation function decays exponentially as expected for a gapped spin system. The structural aspects of both the compounds are correlated with their magnetic properties. The calculation of entanglement witness divulges strong entanglement in both the compounds which persists up to high temperatures, even beyond 370 K for the Br compound.