

This is now MY UNPUBLISHED LEGACY, extrapolations that are allowed thanks to the FINAL experimental proof of ZP ordering at half-doping!
- IF YOU WORK ON MANGANITES & LOOK FOR NEW INTERPRETATIONS WITHOUT A-PRIORI, ABOUT ZENER POLARONS.... JUST CITE THE RIGHT WORK WELL: DON'T FORGET THE DESPISED ASSOCIATED EXCHANGE MODEL (which I recall, has been only cited only twice...)!
- MEDITATE HOW MUCH THE IDEAS/PICTURES DRAWN HERE GENERALISING THE ZP ORDERING SCHEME AT HALF-DOPING TO ALL DOPING IN THIS TALK, ARE INSPIRING & CONSISTENT: DO NOT HESITATE TO RE-USE THEM!
- IT IS MY LEGACY, WHICH AS THE CRYSTALLOGRAPHIC PROOF, ENDS UP CIRCUMSTANCIALLY & UNFORTUNATELY UNPUBLISHED, A MAJOR SCIENTIFIC CONTRIBUTION, THAT HAS THE POTENTIAL TO SOLVE MANY OTHER IMPORTANT ASPECTS OF THE MANGANITES PROBLEMATIC. THE TALK SHOWS HOW IT INVITES TO REVISE THE WORDING THAT CAN BALANCE AND REPHRASE WHAT STILL TO DATE, LEADS TO CONFUSING INTERPRETATIONS/DEFINITIONS OF THE ROLE/NATURE OF MANGANITES' POLARONS,
THAT IT CLARIFIES THE POLARON'S CORRELATIONS AND/OR WHAT BINDS THEM INTO BI-POLARONS (PAIRS OF ZP, OR COUPLES OF ZP/Mn3+), CONSIDERING THAT ORBITAL ORDERING OCCURS WITHIN ZPs, AT WHAT LENGHT SCALE AND HOW THEY TRANSMIT FERROMAGNETIC COUPLINGS AND HOW THE COOPERATIVE
ORGANISATION OF THOSE ENTITIES MAY BE CONSTRAINED (CORRELATED)
WITHIN "REGIONS" IN WAYS THAT CAN PROMOTE (WHAT HAS BEEN THE
KEY QUESTION AND LONG TERM ISSUE IN ALL MANGANITES) MORE REALISTIC DESCRIPTION OF "PHASES" & "INHOMOGENEITIES" AND THE DIFFERENT LONG RANGE ORDERING, PHASE SEPARATION OR CHARGE SEGREGATIONS SCENARIOS STABILISING THEM
- ACCEPT THE HEURISTIC
NATURE OF THE CENTRAL IDEA : THE ROLE IN ZP FORMATION/ORDERING PLAYED BY OXYGEN HOLES, COMBINED WITH Mn ORBITAL ORDERING A
FACT HIDDEN/HINDRED/BLURRED WITHIN A
PRESENTLY DISPARATE EXPERIMENTAL/THEORETICAL UNDERSTANDING STILL IGNORING IT IN VAST MAJORITY AND STILL NOT OFFERING A UNIFIED CONCEPTUALISATION OF CHARGE ORDERING AND CMR PHENOMENA, PROMOTE THE FACT DEMONSTRATED HERE, THAT EVEN AT A YET NAIVE PICTORIAL STAGE, THE APPROACH COMBINING THOSE HOLES WITH WELL ESTABLISHED ORBITAL ORDERING SCHEMES AND USING ZP AS THE MISSING BRICK/LINK "COINING" THESE HOLES WITH SIMPLE ALTERNATIVE ZP FORMATION/ ORDERING/ DIFFUSION "PICTURES", CLARIFIES AND REVIEW ADVANTAGEOUSLY DELICATE POINTS OF PHENOMENOLOGY (WORDING) BY SIMPLE CONSTRUCTION (AND IT IS BECAUSE THE EXERCISE ALWAYS BRING MORE FERROMAGNETIC Mn-Mn BONDS THAN ANY OTHER APPROACH TO BOTH CMR AND CHARGE ORDERING!)
- I STARTED TO BUILD AND WIDELY PRESENT ALL THIS IN ULTRA POPULAR TALKS FROM 2002-2005. ADMIRE THE MATURATION OF SUCH APPROACH PRESENTED IN THIS TALK, IMPORTANTLY HOW IT HELPS TO REPHRASE PHASE SEPARATION SCENARI BY REDIFINING
THE INTIMATE NATURE OF THE MAIN COMPETING PHASES CONSIDERING OXYGEN HOLE DRIVEN TRANSPORT IN THEM, AS BEING A
FERROMAGNETIC (BEYOND CONVENTIONAL DOUBLE EXCHANGE) CONDUCTIVE CHARGE-DISOREDERED POLARONIC GASEOUS PHASE WITH NO OR FAST FLUCTUATING ORBITAL ORDER ON THE Mn SUBLATTICE, COMPETING REVISITED INSULATING ORBITALLY ORDERED PHASES BRINGING MIXED F (SE OR LOCAL DE - REWORDED AS SINGLE O-2p Mn-3d CAHRGE TRANSFER MECHANISM FORMING THE ZP) AND AF-SE CORRELATIONS, WHICH "CONTROL" THE ALLOWED OXYGEN HOLES (RE)ARRANGEMENT/DIFFUSION.
- AS A NEW "VISUALISATION" OF THE APPROACH TO CMR: GROSSLY AT x=0 HOLES ARE ABSENT, AT x=0.5, ROBUST CE-type Mn ORBITAL ORDER (BI-STRIPE-TYPE, IN THE ZP ORDERING SCHEME) FAVOUR THEIR STRIPY ORDERING WITHIN 2Mn-ZP. CMR (OPTIMAL AT x=0.28~0.33) OCCURS IN AN INTERMEDIATE REGIME FOR THE CHARGE ORDERING (CO) TENDENCY, SANDWITCHED BETWEEN THE REGIME WHERE HOLES ARE SUBJECTED TO A CHARGE SEGREGATION IN (a,c) or (b,c) 2D DROPLETS AS CONSTRUCTED AT LOW DOPING (x<0.1), THEIR POSSIBLE CHARGE ORDERING AT x=1/8 GETTING MORE PACKED/DISORGANISED BETWEEN 1/8<x<1/4, AND A REGIME WHERE THEY GET CONFINED IN AF STACKED 2D- (b,c) SHEETS A MODEL INSPIRED FROM THE PSEUDO-CE ORDER SEEN AT HIGHER DOPINGS
IN PCMO (1/3<x<0.4). IN THE TWO LATER 2D-REGIONS (BY CONSTRUCTION,
TWO REGIONS WHERE HOLES ARE TRAPPED BY CHARGE SEGREGATION INTO SHORT RANGE HOLE RICH REGIONS & AND HOMOGENOUS AND LONG RANGE CHARGE ORDERED REGIONS RESP.), THE
Mn ORBITAL ORDER AND ZP SHOW ENHANCED FERROMAGENTIC CORRELATIONS ALONG c THAY
MAY ACTIVATE THE SPIN/ORBITAL VIBRONIC-DOUBLE EXCHANGE PROCESS HELPING
O-HOLES WITHING THEM TO FUCTUATE AT A MOLECULAR LEVEL
BY REORGANISING THE LOCAL ZP/Mn3+ JT POLARON ARRANGEMENTS.
- CMR: AT THE COMPOSITIONAL CROSSOVER (x~0.3) HOLE CONFINEMENT BEING ACHIEVED INTO TWO DIFFERENT TYPE OF 2D
REGIONS, IT MAY GET CONFUSED BY THE FACT THAT THE CORRELATIONS BUILDING THEM COME FROM THE TWO DIFFERENT TYPE OF IN-PLANE ORBITAL STRUCTURES (STAGGERED AND BI-STRIPE) INHERITED FROM PARENT x=0 and x=0.5 PHASES WHICH GIVE DIFFERENT IN-PLANE MAGNETIC COUPLINGS:
THIS COMBINED "MAGNETO-ORBITAL CORRELATION DEGENERACY/ FRUSTRATION" IS
WHAT KINETICALLY FAVOURS CONCOMITTANTLY A CONDUCTIVE PHASE WITH Mn-ORBITAL
DISORDER, O-HOLE DELOCALISATION, THREE-DIMENSIONAL FERRONAGNETISM HENCE, BRINGING DOUBLE EXCHANGE-TYPE CONDUCTION IN A SPIN POLARISED POLARONIC BAND (BUT SPIN-DOWN) OF OXYGEN CHARACTER. CMR IS A DESTABILISATION OF SUCH HOLE CONFINED "PRECURSORS", THE EXACT SCENARIO/SENSITIVITY/TEMPERATURE RANGE BEING THEN MATERIAL DEPENDENT...
- IN PCMO (x~0.3),
MACROSCOPIC PHASE SEPARATION (PS) BETWEEN ESSENTIALLY TWO F/AF INSULATING PHASES OCCURS. THE SCENARIO OF THE SPECIFIC x~0.3 CASE IS REDISCUSSED HERE. IT TOOK TIME TO CLARIFY THAT AT ZERO FIELD, CLEAN SAMPLES ABOVE (x>0.33)
ARE IN FACT SINGLE PHASED (AF): IN THIS REGIME, CMR IS A 1st ORDER
TRANSITION (THOUGH IRREVERSIBLE) OF THE HOMOGENEOUS PSEUDO-CE STATE. BESIDES, CMR HAS A REENTRANT NATURE (FAVOURED AT LT) UP TO x~0.40, WHICH NEEDS CLARIFICATIONS. FROM PRELIMINARY NEUTRON
POWDER DIFFRACTION WORK MEANT TO REVISIT THE MAGNETIC (x,T) PHASE
DIAGRAM OF SINGLE PHASED PCMO (x>0.33) MANY QUESTION ARISE 1) HOW THE CANTING OF THE PSEUDO-CE ORDER
WHICH BRING ABOUT A NON-COLLINEAR AF-STATE DEVELOPS LOWERING
TEWMPERATURE 2) DOES THE CANTING ANGLE OCCURS ONLY (OR HAVE A KINK) AT THE SECONDARY CHARGE ORDER BELOW ~100K, 3) THE ROLE/INFLUENCE OF A LOW TEMPERATURE MAGNETIC TRANSITION (AROUND 20~50K) POORLY DISCUSSED IN THE LITTERATURE, i.e IS IT DUE TO SPIN REOREINTATION ON THE MN ORDER, OR TO PRASEODIMIUM MAGNETISM?
- IN LCMO (x~0.3), BELOW T_C, LONGRANGE FERROMAGNETISM AND THE LARGER BANDWIDTH SUFFICES TO DESTABILISE ANY STATIC LOW TEMPERATURE ORBITAL ORDERING, BUT IN FACT ABOVE T_C IT IS KNOWN THAT SHORT RANGE POLARON CORRELATION AND FERROMAGNTIC CORRELATIONS COEXIST. IN CONTRARY TO POPULAR BELIEF, THEY MAY BOTH OCCUR DUE TO THE DEFINED VIBRONIC DE-PROCESS WITHIN THE SAME SORT RANGE VERSION OF PCMO PSEUDO-CE PHASE COEXISTING POSSIBLY TWO OTHERS SHORT RANGE ORDERS, SEGREGATING EITHER CHARGES IN 2D DROPLETS OR IN REGIONS WHERE THOSE TWO WOULD "CROSS" TO FORM
3D FERROMAGENTICALLY CORREALTED DROPLETS, ALL
THREE BEING CMR "PRECUSORS",
PRESENTING A SLOWLY FLUCTUATING ORBITAL ORDERING GROWING WITHIN A
CONVENTIONAL POLARONIC Mn3+/Mn4+ SEMICONDUCTING PARAMAGNET
WITH NO ORBITAL ORDER BELOW THE ELUSIVE T* TEMPERATURE SCALE. THE
LATTER JUST CORRESPONDS TO THE ZP FORMATION INDUCING CHARGE
SEGREGATION/ORDERING TENDENCIES AND THE
LOW MOBILITY/PERTICULAR MOTIF OF THE CORRELATED POLARONS (O-HOLE POLARONS/Mn3+ AND/OR BI-POLARONS MADE OF 2Mn-ZP) IN THE FROMING "PRECURSORS" IS THE
REASON WHY THE BI-POLARON THEORY OF CMR WORKS SO WELL, HERE.
This constructs (to my knowledge) the 3rd common "Theory/Idea" of Cuprate and Manganites appart from bi-polarons, and phase separation
which actually combine both in a unified pictorial framework (ZP quasi-particle
formation and tendency to order) by including Goodenough rules, in the case of Manganites
- Calling us to go back to the introduction/motivation, CONSIDER AGAIN THE "GRAPHICALLY HEURISTIC THEORY" presented here, AS BEING REMARKABLY SIMILAR TO THIS TOTALLY INVISIBLE "VIEW" OF