DONE -- Please include a contact email for the corresponding author somewhere in the manuscript. DONE -- Please note that the abstract should be no more than 150 words and should not contain references. DONE -- Please follow this OVERALL STRUCTURE guideline to comply with our article templates, the text must be split into: - Introduction (<1000 words), which must include the background and rationale for the work. The final paragraph should be a brief summary of the major results and conclusions. The results of the current study should only be discussed in this final paragraph. The Introduction should contain no references to figures or tables. - Results, which must be split into subheaded sections, ensuring that the subheadings are no longer than 60 characters including spaces. Subheadings should contain no punctuation. - Discussion (optional), without subheadings. - Methods, which must be split into subheaded sections, ensuring that the subheadings are no longer than 60 characters including spaces. DONE -- It would be helpful to our production staff if you could reformat the manuscript so that it is in a single column of double-spaced text, without figures and with all the figure captions moved to the end. DONE -- Please do not include the figures in the text file, and move all the captions to the end. DONE -- Please number all display equations separately and make sure that they are formatted as follows: SYMBOLS and EQUATIONS We are committed to ensuring clarity and avoiding ambiguity in the mathematics in our papers. Consequently, please carefully check the mathematical terms throughout your manuscript (including labels on figures and figure captions) to ensure that it conforms strictly to the following guidelines. In mathematical terms, scalar variables (e.g. x, V, χ) and constants (e.g. π, ħ, e) should be typeset in italics, and vectors (such as r, the wavevector k, or the magnetic field vector B) should be typeset in bold without italics. In contrast, subscripts and superscripts should only be italicized if they too are variables or constants. Those that are labels (such as the 'c' in the critical temperature, T_c, the 'F' in the Fermi energy, E_F, or the 'crit' in the critical current, I_crit) should be typeset in roman. Please also ensure the same convention is followed in figure labels, axes, and such. Additionally, to avoid doubt, unit dimensions should be expressed using negative integers (e.g. kg m^-1 s^-2 not kg/ms^2) or the word 'per'. Subscripts, where they are shortened forms of words or phrases, should not be italic. DONE -- Figure guidelines: Please note that the figures must be provided as separate editable files (e.g. ai/eps/vector pdf) at minimum resolution of 300 dpi at final size. Legends must begin with a brief title describing the whole figure without punctuation (title no longer than one line). Each figure legend can be up to 350 words. Figures appear at 9 or 18 cm width - 1 or 2 columns respectively. Ensure all abbreviations are defined in the figure legend. Ensure all figures are cited in order in the text. Ensure all abbreviations and acronyms are defined in the figure caption - the idea being that the Figures and their caption should be able to stand alone from the text. DONE -- The Results section must be split into subheaded sections. Subheadings must be no longer than 60 characters including spaces and should not contain punctuation. DONE -- This seems the ideal point to start the "Results" section. You will need to add a subheading to this paragraph. DONE -- Please make sure all the acronyms used in the figure are explained in the figure captions. DONE -- Please label the panels and refer to them. DONE -- Please explain the error bars in the figure caption. DONE -- Please label the panels and refer to them. DONE -- Please explain the error bars in the figure caption. DONE -- Please label the panels and refer to them. DONE -- Please move the acknowledgment after the references. DONE -- Please add a DATA AVAILABILITY STATEMENT here. Data availability statements and data citations policy: All Nature Communications manuscripts must include a Data availability statement at the end of the Methods section or main text (if no Methods). It should have the heading “Data availability”. For more information on this policy, and a list of examples, please see http://www.nature.com/authors/policies/data/data-availability-statements-data-citations.pdf In particular, the Data availability statement should include: - Accession codes for deposited data - Other unique identifiers (such as DOIs and hyperlinks for any other datasets) - At a minimum, a statement confirming that all relevant data are available from the authors - If applicable, a statement regarding data available with restrictions - If a dataset has a Digital Object Identifier (DOI) as its unique identifier, we strongly encourage including this in the Reference list and citing the dataset in the Data Availability Statement. DONE -- Please make sure that you thoroughly scrutinize all entries in the reference list to ensure that they are all complete and accurate. Please ensure that the format of the references follows the sequence: author list, title of paper, name of journal, volume number, INITIAL-FINAL page numbers (or article number), (year). DONE -- Please add a competing financial interest statement here.