Strong electronic correlation in the hydrogen chain: A variational Monte Carlo study

In this paper, we report a fully ab initio variational Monte Carlo study of the linear and periodic chain of hydrogen atoms, a prototype system providing the simplest example of strong electronic correlation in low dimensions. In particular, we prove that numerical accuracy comparable to that of benchmark density-matrix renormalization-group calculations can be achieved by using a highly correlated Jastrow-antisymmetrized geminal power variational wave function. Furthermore, by using the so-called "modern theory of polarization" and by studying the spin-spin and dimer-dimer correlations functions, we have characterized in detail the crossover between the weakly and strongly correlated regimes of this atomic chain. Our results show that variational Monte Carlo provides an accurate and flexible alternative to highly correlated methods of quantum chemistry which, at variance with these methods, can be also applied to a strongly correlated solid in low dimensions close to a crossover or a phase transition.

Correlation of TACC3, FGFR3, MMSET and p21 expression with the t(4;14)(p16.3;q32) in multiple myeloma

The t(4;14)(p16;q32) translocation seen in c. 18% of newly diagnosed multiple myeloma (MM) cases, results in FGFR3 activation and creation of an IGH/MMSET fusion transcript. We have recently shown that FGFR3 is activated in only 75% of t(4;14)(+) cases, suggesting that alternative genes near the breakpoint may be involved in the transforming event. The gene, TACC3, located just 50 kb telomeric of FGFR3, with transforming capacity, therefore represented a candidate gene. Using a real-time quantitative polymerase chain reaction-based approach on a cohort of 54 patients, we found a statistically significant, twofold increase in TACC3 expression in t(4;14)(+) cases. TACC3, MMSET and p21 values were positively correlated in all cases and, of particular interest, six patient samples [three t(4;14)(-), three t(4;14)(+)] samples showed a joint up-regulation of TACC3, MMSET and p21. Although a poor prognosis is linked with elevated MMSET expression, an extended follow-up period will be required to evaluate the significance of elevated TACC3 and p21 expression in this subgroup of MM.