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Rev. B"],"accepted":{"date-parts":[[2025,7,1]]},"abstract":"<jats:p>\n                    Whether a quantum critical point (QCP) demarcates the end of the pseudogap (PG) regime in hole-doped cuprates at a singular doping level\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <a:mrow>\n                        <a:msup>\n                          <a:mi>p<\/a:mi>\n                          <a:mo>*<\/a:mo>\n                        <\/a:msup>\n                        <a:mo>\u2248<\/a:mo>\n                        <a:mn>0.19<\/a:mn>\n                      <\/a:mrow>\n                    <\/a:math>\n                    is still an open question. A crucial component of the puzzle is the manner in which the carrier density predicted by electronic structure calculations is recovered for\n                    <b:math xmlns:b=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <b:mrow>\n                        <b:mi>p<\/b:mi>\n                        <b:mo>&gt;<\/b:mo>\n                        <b:msup>\n                          <b:mi>p<\/b:mi>\n                          <b:mo>*<\/b:mo>\n                        <\/b:msup>\n                      <\/b:mrow>\n                    <\/b:math>\n                    . Here, we use magnetic fields up to 67\u00a0T to suppress superconductivity down to 50\u00a0K, allowing us to simultaneously measure the low-temperature Hall number\n                    <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <c:msub>\n                        <c:mi>n<\/c:mi>\n                        <c:mtext>H<\/c:mtext>\n                      <\/c:msub>\n                    <\/c:math>\n                    and the in-plane resistivity anisotropy\n                    <d:math xmlns:d=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <d:mrow>\n                        <d:msub>\n                          <d:mi>\u03c1<\/d:mi>\n                          <d:mi>a<\/d:mi>\n                        <\/d:msub>\n                        <d:mo>\/<\/d:mo>\n                        <d:msub>\n                          <d:mi>\u03c1<\/d:mi>\n                          <d:mi>b<\/d:mi>\n                        <\/d:msub>\n                      <\/d:mrow>\n                    <\/d:math>\n                    in overdoped\n                    <e:math xmlns:e=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <e:mrow>\n                        <e:msub>\n                          <e:mi mathvariant=\"normal\">Y<\/e:mi>\n                          <e:mrow>\n                            <e:mn>1<\/e:mn>\n                            <e:mo>\u2212<\/e:mo>\n                            <e:mi>x<\/e:mi>\n                          <\/e:mrow>\n                        <\/e:msub>\n                        <e:msub>\n                          <e:mi>Ca<\/e:mi>\n                          <e:mi>x<\/e:mi>\n                        <\/e:msub>\n                        <e:msub>\n                          <e:mi>Ba<\/e:mi>\n                          <e:mn>2<\/e:mn>\n                        <\/e:msub>\n                        <e:msub>\n                          <e:mi>Cu<\/e:mi>\n                          <e:mn>3<\/e:mn>\n                        <\/e:msub>\n                        <e:msub>\n                          <e:mi mathvariant=\"normal\">O<\/e:mi>\n                          <e:mrow>\n                            <e:mn>7<\/e:mn>\n                            <e:mo>\u2212<\/e:mo>\n                            <e:mi>\u03b4<\/e:mi>\n                          <\/e:mrow>\n                        <\/e:msub>\n                      <\/e:mrow>\n                    <\/e:math>\n                    single crystals. We confirm a previous finding [S. Badoux  , ] that\n                    <h:math xmlns:h=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <h:msub>\n                        <h:mi>n<\/h:mi>\n                        <h:mtext>H<\/h:mtext>\n                      <\/h:msub>\n                    <\/h:math>\n                    (50\u00a0K) exhibits a sharp increase below\n                    <i:math xmlns:i=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <i:msup>\n                        <i:mi>p<\/i:mi>\n                        <i:mo>*<\/i:mo>\n                      <\/i:msup>\n                    <\/i:math>\n                    and use the measured resistivity anisotropy to obtain the planar carrier density\n                    <j:math xmlns:j=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <j:mrow>\n                        <j:msub>\n                          <j:mi>n<\/j:mi>\n                          <j:mrow>\n                            <j:mi>p<\/j:mi>\n                            <j:mi>l<\/j:mi>\n                          <\/j:mrow>\n                        <\/j:msub>\n                        <j:mo>=<\/j:mo>\n                        <j:msub>\n                          <j:mi>n<\/j:mi>\n                          <j:mtext>H<\/j:mtext>\n                        <\/j:msub>\n                        <j:msup>\n                          <j:mrow>\n                            <j:mo>(<\/j:mo>\n                            <j:msub>\n                              <j:mi>\u03c1<\/j:mi>\n                              <j:mi>a<\/j:mi>\n                            <\/j:msub>\n                            <j:mo>\/<\/j:mo>\n                            <j:msub>\n                              <j:mi>\u03c1<\/j:mi>\n                              <j:mi>b<\/j:mi>\n                            <\/j:msub>\n                            <j:mo>)<\/j:mo>\n                          <\/j:mrow>\n                          <j:mrow>\n                            <j:mo>\u2212<\/j:mo>\n                            <j:mn>1<\/j:mn>\n                          <\/j:mrow>\n                        <\/j:msup>\n                      <\/j:mrow>\n                    <\/j:math>\n                    . The doping dependence of\n                    <k:math xmlns:k=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <k:msub>\n                        <k:mi>n<\/k:mi>\n                        <k:mrow>\n                          <k:mi>p<\/k:mi>\n                          <k:mi>l<\/k:mi>\n                        <\/k:mrow>\n                      <\/k:msub>\n                    <\/k:math>\n                    (50\u00a0K) reveals two key findings: (i) At optimal doping,\n                    <l:math xmlns:l=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <l:mrow>\n                        <l:msub>\n                          <l:mi>n<\/l:mi>\n                          <l:mrow>\n                            <l:mi>p<\/l:mi>\n                            <l:mi>l<\/l:mi>\n                          <\/l:mrow>\n                        <\/l:msub>\n                        <l:mo>\u2248<\/l:mo>\n                        <l:mi>p<\/l:mi>\n                      <\/l:mrow>\n                    <\/l:math>\n                    , and (ii) the sharp rise in\n                    <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <m:mrow>\n                        <m:msub>\n                          <m:mi>n<\/m:mi>\n                          <m:mi mathvariant=\"normal\">H<\/m:mi>\n                        <\/m:msub>\n                        <m:mrow>\n                          <m:mo>(<\/m:mo>\n                          <m:mi>p<\/m:mi>\n                          <m:mo>)<\/m:mo>\n                        <\/m:mrow>\n                      <\/m:mrow>\n                    <\/m:math>\n                    is softened to such an extent that the full Fermi volume (\n                    <o:math xmlns:o=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <o:mrow>\n                        <o:msub>\n                          <o:mi>n<\/o:mi>\n                          <o:mrow>\n                            <o:mi>p<\/o:mi>\n                            <o:mi>l<\/o:mi>\n                          <\/o:mrow>\n                        <\/o:msub>\n                        <o:mo>=<\/o:mo>\n                        <o:mn>1<\/o:mn>\n                        <o:mo>+<\/o:mo>\n                        <o:mi>p<\/o:mi>\n                      <\/o:mrow>\n                    <\/o:math>\n                    ) is only partially recovered at\n                    <p:math xmlns:p=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <p:msup>\n                        <p:mi>p<\/p:mi>\n                        <p:mo>*<\/p:mo>\n                      <\/p:msup>\n                    <\/p:math>\n                    . The latter result disfavors a conventional QCP scenario in which the PG end point leads to a reconstructed Fermi surface.\n                  <\/jats:p>","DOI":"10.1103\/6kk9-xq3z","type":"journal-article","created":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T14:47:41Z","timestamp":1751381261000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":3,"title":["Doping dependence of the low-temperature planar carrier density in overdoped\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:mrow>\n                        <mml:msub>\n                          <mml:mi>YBa<\/mml:mi>\n                          <mml:mn>2<\/mml:mn>\n                        <\/mml:msub>\n                        <mml:msub>\n                          <mml:mi>Cu<\/mml:mi>\n                          <mml:mn>3<\/mml:mn>\n                        <\/mml:msub>\n                        <mml:msub>\n                          <mml:mi mathvariant=\"normal\">O<\/mml:mi>\n                          <mml:mrow>\n                            <mml:mn>7<\/mml:mn>\n                            <mml:mo>\u2212<\/mml:mo>\n                            <mml:mi>\u03b4<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:msub>\n                      <\/mml:mrow>\n                    <\/mml:math>"],"prefix":"10.1103","volume":"112","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9694-5217","authenticated-orcid":true,"given":"R.","family":"Nicholls","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/0524sp257","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Bristol"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"R. 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