Brydon, PhilipGulacsi, Miklos2009-08-262010-12-202009-08-262010-12-20Physical Review Letters 96.3 (2006): 036407/1-40031-90071079-7114http://hdl.handle.net/10440/775http://digitalcollections.anu.edu.au/handle/10440/775We use a novel approach to analyze the one-dimensional spinless Falicov-Kimball model. We derive a simple effective model for the occupation of the localized orbitals which clearly reveals the origin of the known ordering. Our study is extended to a quantum model with hybridization between the localized and itinerant states: We find a crossover between the well-known weak- and strong-coupling behaviors. The existence of electronic polarons at intermediate coupling is confirmed. A phase diagram is presented and discussed in detail.4 pageshttp://www.sherpa.ac.uk/romeo/index.php "Author can archive pre-print (ie pre-refereeing) … post-print (ie final draft post-refereeing) … [and] publisher's version/PDF. Link to publisher version … [and] Copyright notice required. Publisher's version/PDF can be used on … employers web site." - from SHERPA/RoMEO site (as at 25/02/10). ©2006 The American Physical SocietyKeywords: Coupled circuits; Hybrid computers; Mathematical instruments; Phase diagrams; Polarons; Quantum theory; Bosonization solutions; Falicov-Kimball models; Intermediate couplings; Quantum models; Solutions2006-01-2510.1103/PhysRevLett.96.0364072015-12-12