Papers in Physics, vol. 5, art. 050008 (2013) Received: 10 October 2013, Accepted: 4 November 2013 Edited by: S. A. Grigera Licence: Creative Commons Attribution 3.0 DOI: http://dx.doi.org/10.4279/PIP.050008 www.papersinphysics.org ISSN 1852-4249 Commentary on “Graphite and its hidden superconductivity” E. M. Forgan1∗ I write this comment on the article by Esquinazi [1] as an expert on superconductivity but not as an expert on graphite. I should also mention that in 1986, a student asked me what I thought about a paper written by Bednorz & Muller in Z. Phys. After looking at it carefully, I commented that it represented measurements on a mixed-phase sam- ple, which had a resistivity ∼1000 times that of copper at room temperature. The resistivity was increasing as the temperature was lowered, i.e., be- having in a non-metallic fashion. At ∼35 K, the resistivity began to fall, but had not become “zero” until ∼10 K. Note that “zero” on the scale of the graph in the paper might just be the resistivity of copper at room temperature. Hence I concluded that there was no proof of superconductivity (such as the Meissner effect) and I highlighted the word “possible” in the title of the paper. However, other workers were more “gullible” and attempted to re- peat and extend this work. It turned out that the phenomenon was very “democratic” and widely re- producible (unlike the equally surprising reports of “cold fusion” a few years later). So here I try to discuss whether the proposed superconductiv- ity in graphite at elevated temperatures is real or not. One initial bibliographic comment may well be relevant: the papers reporting signs of supercon- ductivity in graphite have a very restricted group of authors, suggesting that the phenomenon may ∗E-mail: ted.forgan@gmail.com 1 School of Physics & Astronomy, University of Birming- ham, U.K. not be “democratic”. Some workers have become persuaded that the phenomenon is real, but they have not yet convinced a much wider audience, who probably feel that exceptional claims need excep- tionally strong evidence. It is clear from the discussion in section I of the paper, and a review of the extensive literature, that graphite is a complicated and sometimes irrepro- ducible material. This is partly due to the weak in- terlayer forces, which mean that it does not always stack in an ideal ABAB hexagonal pattern. In ad- dition, after the discovery of single-layer graphene, we know that independent layers may exist with extremely high mobility, conducting only in the basal plane direction. Even without this compli- cation, graphite is a highly anisotropic material: this can easily cause difficulties in measuring trans- port properties, since the anisotropy in resistivity can give non-uniform current distributions. The effect of magnetic field on electron motion is also very anisotropic, with c-axis fields having strong ef- fects on transport properties, and basal plane fields having almost no effect. Furthermore, the diamag- netic susceptibility is strong, very anisotropic and temperature-dependent. This bulk property and many others, such as the de Haas van Alphen effect in large samples [2] have been understood in gen- eral terms [3] as a consequence of a semi-metallic band-structure [4] since ∼1960. I now turn to the various sections of the paper. In section II, there is an account of strong magne- toresistance effects. Similar effects have also been observed in bismuth [5] and have a very interesting explanation [5] in terms of the semi-metallic prop- 050008-1 Papers in Physics, vol. 5, art. 050008 (2013) / E. M. Forgan erties of graphite and bismuth, so there is no need to propose a superconducting explanation for this. In section III, a tiny hysteresis in magnetoresistance is described. Two comments are relevant here: the author notes that the sign of the hysteresis is oppo- site to that expected for a superconductor and lim- its himself to stating that the data provide “strik- ing hints that granular superconductivity is at work in some regions of these samples”. This is hardly definitive proof. Section IV is headed “Direct ev- idence for Josephson behavior”. This quotes data from a recent publication from the author’s group [6]. It is worth noting that these measurements were made with very small currents, so that the limit of measurement value is in the ohms region or greater. In some cases [6], apparent negative resistance values were observed. This can easily occur (and has been observed by myself) in a lay- ered material. The phenomenon arises from non- uniform current flow enhanced by the resistivity anisotropy, combined with voltage leads which ef- fectively make contact at different positions along the c-axis of the sample. It seems likely that these curious results, and their current-dependence, arise from non-ideal connections of the voltage and/or current leads. Other odd features of the results, such as sample-dependent noise at low tempera- tures, and the fact that magnetic fields could in- crease, decrease or have no effect on the voltages observed, also cast great doubt on the Josephson interpretation. In section V, we have an account of some mag- netic susceptibility measurements, such as those re- ported in [7] on graphite “doped” with water. The hysteresis loops reported in that paper correspond to a maximum signal only . 1% of the c-axis sus- ceptibility of graphite. The value of this suscepti- bility, though relatively large, is < 0.001 (SI dimen- sionless units). Hence if the width of the hysteresis loop observed in these measurements corresponds to a Meissner signal from superconductivity, then this supposed superconductivity occupies a volume fraction . 10−5. Esquinazi et al. contend that this is consistent with superconductivity only present at somewhat ill-defined interfaces; however, it also means that one has to beware of artifacts. In re- sponse to [7], a colleague repeated their measure- ments as an undergraduate project [8]. Their clear conclusion was that if the correct diamagnetic back- ground slope (that obtained at large fields) is sub- tracted, then the hysteresis corresponds to a tiny ferromagnetic component. However, if a slightly different background is chosen, the hysteresis loops look somewhat like the response of a granular su- perconductor. However, for a granular supercon- ductor the hysteresis peaks should lie away from the vertical axis in the bottom right/top left cor- ners (see e.g. [9]) and this is contrary to what is observed in graphite. Further evidence that this hysteresis is not due to superconductivity may be obtained from its temperature-dependence. We see in [7] that the hysteresis at 300 K is essen- tially the same as that at 5 K. We bear in mind that by assumption the superconductivity is con- fined to an atomic layer, and that the higher the Tc of a superconductor the shorter the coherence length. These two together ensure that thermal fluctuations (which are already very noticeable at T ∼ 100 K in cuprate materials) would be huge for any room temperature graphite superconductiv- ity [10]. Thermal fluctuations would greatly reduce vortex pinning and magnetic irreversibility at room temperature, contrary to what is observed. On the other hand, a saturated ferromagnetic response would be almost temperature-independent for tem- peratures well below the Curie point. There are further measurements [11] which appear to show magnetic hysteresis (as a function of direction of temperature sweep, not as a function of field) go- ing to zero at 400 K. However, this temperature is where the sweep direction changes, so the hystere- sis with temperature is by definition zero at 400 K. Once again the differences in the magnetic signals are a tiny fraction of the total sample magnetiza- tion. There are many possible reasons (both real and due to experimental artifacts) why measure- ments on a sample taken on heating and cooling might disagree. Hence, the rather complicated re- sults summarized in Esquinazi’s paper cannot con- fidently be ascribed to (as yet not understood) su- perconducting effects. I cannot give an overriding simple explanation for all the different results reported in Equinazi’s paper, but neither can the author. In some cases this is because the proposed superconductivity is a “moving target”: sometimes with a Tc ∼ 25 K, and sometimes Tc well above room temperature; sometimes superconducting effects are suppressed by magnetic field and sometimes enhanced at high fields. In interpreting the evidence presented, the 050008-2 Papers in Physics, vol. 5, art. 050008 (2013) / E. M. Forgan author has a tendency to jump to a superconduct- ing interpretation, when others are perfectly pos- sible. Unless and until graphite samples can be produced which exhibit the Meissner effect for a volume fraction of at least 1%, and which show direct evidence of quantum coherence (hysteresis which might arise from Josephson networks or from other causes is not direct evidence), I expect that the scientific community at large will not accept that graphite exhibits high-temperature supercon- ductivity. [1] P Esquinazi, Graphite and its hidden super- conductivity, Pap. Phys. 5, 050007 (2013). [2] J W McClure, Band structure of graphite and de Haas-van Alphen effect, Phys. Rev. 108, 612 (1957). [3] J W McClure, Theory of diamagnetism of graphite, Phys. Rev. 119, 606 (1960). [4] J-C Charlier, X Gonze, J-P Michenaud, First- principles study of the electronic properties of graphite, Phys. Rev. B 43, 4579 (1991). [5] X Du, S W Tsai, D L Maslov, A F Hebard, Metal-insulator-like behavior in semimetallic bismuth and graphite, Phys. Rev. Lett. 94, 166601 (2005). [6] A Ballestar, J Barzola-Quiquia, T Scheike, P Esquinazi, Josephson-coupled superconducting regions embedded at the interfaces of highly oriented pyrolytic graphite, New J. Phys. 15, 023024 (2013). [7] T Scheike, W Bhlmann, P Esquinazi, J Barzola-Quiquia, A Ballestar, A Setzer, Can doping graphite trigger room temperature su- perconductivity? Evidence for granular high- temperature superconductivity in water-treated graphite powder, Adv. Mater. 24, 5826 (2012). [8] M Robson, P Diwell (unpublished). Super- vised by E Blackburn, School of Physics & Astronomy, University of Birmingham, U.K. (2012). [9] S Senoussi, C Aguillon, S Hadjoudj, The con- tribution of the intergrain currents to the low field hysteresis cycle of granular superconduc- tors and the connection with the micro- and macrostructures, Physica C 175, 215 (1991). [10] A Gurevich, Challenges and opportunities for applications on unconventional superconduc- tors, Annu. Rev. Cond. Matter Phys., in press. [11] T Scheike, P Esquinazi, A Setzer, W Böhlmann, Granular superconductivity at room temperature in bulk highly oriented py- rolytic graphite samples, Carbon 59, 140 (2013). 050008-3