Shklovskii is known for the Efros–Shklovskii variable-range hopping conductivity, a model for the temperature dependence of the electrical conductivity in the variable-range hopping regime.[2]
He has also made important contributions to the theory of the Quantum Hall effect (explaining the structure of conducting edge channels[3] and predicting the formation of Quantum Hall stripe and bubble phases[4][5]) and to the theory of macromolecules (developing the theory of electrostatic charge inversion[6][7]).
^Grosberg, A. Yu.; Nguyen, T. T.; Shklovskii, B. I. (2002-04-19). "Colloquium: The physics of charge inversion in chemical and biological systems". Reviews of Modern Physics. 74 (2). American Physical Society (APS): 329–345. Bibcode:2002RvMP...74..329G. doi:10.1103/revmodphys.74.329. ISSN0034-6861.