<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2017-8-1-59-70</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-779</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Normal state pair nematicity and hidden magnetic order and metal-insulator (fermion-boson)- crossover origin of pseudogap phase of cuprates II</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Abdullaev</surname><given-names>B.</given-names></name></name-alternatives><bio xml:lang="en"><p>Tashkent 100174</p></bio><email xlink:type="simple">bakhodir.abdullaeff@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Abdullaev</surname><given-names>D. B.</given-names></name></name-alternatives><bio xml:lang="en"><p>Tashkent 100174</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Park</surname><given-names>C.-H.</given-names></name></name-alternatives><bio xml:lang="en"><p> 30 Jangjeon-dong, Geumjeong-gu, Busan 609-735</p></bio><email xlink:type="simple">cpark@pusan.ac.kr</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Musakhanov</surname><given-names>M. M.</given-names></name></name-alternatives><bio xml:lang="en"><p>Tashkent 100174</p></bio><email xlink:type="simple">yousufmm@list.ru</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Institute of Applied Physics, National University of Uzbekistan</institution><country>Uzbekistan</country></aff><aff xml:lang="en" id="aff-2"><institution>Research Center for Dielectric and Advanced Matter Physics, Department of Physics, Pusan National University</institution><country>Korea, Republic of</country></aff><aff xml:lang="en" id="aff-3"><institution>National University of Uzbekistan</institution><country>Uzbekistan</country></aff><pub-date pub-type="collection"><year>2017</year></pub-date><pub-date pub-type="epub"><day>13</day><month>08</month><year>2025</year></pub-date><volume>8</volume><issue>1</issue><fpage>59</fpage><lpage>70</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Abdullaev B., Abdullaev D.B., Park C., Musakhanov M.M., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Abdullaev B., Abdullaev D.B., Park C., Musakhanov M.M.</copyright-holder><copyright-holder xml:lang="en">Abdullaev B., Abdullaev D.B., Park C., Musakhanov M.M.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://nanojournal.ifmo.ru/jour/article/view/779">https://nanojournal.ifmo.ru/jour/article/view/779</self-uri><abstract><p>In the present paper II, we will gain an understanding of the nematicity, insulating ground state (IGS), nematicity to stripe phase transition, Fermi pockets evolution, and resistivity temperature upturn, as to be metal- insulator (fermion-boson)- crossover (MIC) phenomena for the pseudogap (PG) region of cuprates. While in the paper I [Abdullaev B., et al. arXiv:cond-mat/0703290], we obtained an understanding of the observed heat conductivity downturn, anomalous Lorentz ratio, insulator resistivity boundary, nonlinear entropy as manifestations of the same MIC. The recently observed nematicity and hidden magnetic order are related to the PG pair intra charge and spin fluctuations. We will try to obtain an answer to the question; why ground state of YBCO is Fermi liquid oscillating and of Bi-2212 is insulating? We will also clarify the physics of the recently observed MIC results of Lalibert et al. [arXiv:1606.04491] and explain the long-discussed transition of the electric charge density from doping to doping+1 dependence at the critical doping. We predict that at the upturns this density should have the temperature dependences n T3n2 for T 0, where n2 is density for dopings close to the critical value. We understood that the upturns before and after the first critical doping have the same nature. We will find understanding of all above mentioned phenomena within PG pair physics.</p></abstract><kwd-group xml:lang="en"><kwd>high critical temperature superconductivity</kwd><kwd>cuprate</kwd><kwd>metal-insulator-crossover</kwd><kwd>temperature-doping phase diagram</kwd><kwd>resistivity temperature upturn</kwd><kwd>insulating ground state</kwd><kwd>nematicity and stripe phases</kwd><kwd>Fermi pockets evolution</kwd></kwd-group><funding-group><funding-statement xml:lang="en">Authors B. Abdullaev, D.B. Abdullaev and M.M. Musakhanov acknowledge the support of the research by  the Volkswagen Foundation of Germany and C.-H. Park by the National Research Foundation of Korea (NRF)  grant funded by the Korean Government (2015M3D1A1070639).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Gomes K.K. et al. Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+ . Nature, 2007, 447, P. 569–572.</mixed-citation><mixed-citation xml:lang="en">Gomes K.K. et al. Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+ . Nature, 2007, 447, P. 569–572.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Pan S.H. et al. Microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+x. Nature, 2001, 413, P. 282–285.</mixed-citation><mixed-citation xml:lang="en">Pan S.H. et al. Microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+x. Nature, 2001, 413, P. 282–285.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Abdullaev B., Park C.-H., Musakhanov M.M. Anyon bosonization of 2D fermions and single boson phase diagram implied from experiment on visualizing pair formation in superconductor Bi2Sr2CaCu2O8+ . Physica C, 2011, 471, P. 486–491.</mixed-citation><mixed-citation xml:lang="en">Abdullaev B., Park C.-H., Musakhanov M.M. Anyon bosonization of 2D fermions and single boson phase diagram implied from experiment on visualizing pair formation in superconductor Bi2Sr2CaCu2O8+ . Physica C, 2011, 471, P. 486–491.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Ashcroft N.W., Mermin N.D. Solid State Physics. Philadelphia, HRW, 1976.</mixed-citation><mixed-citation xml:lang="en">Ashcroft N.W., Mermin N.D. Solid State Physics. Philadelphia, HRW, 1976.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Abrikosov A.A. Fundamentals of the Theory of Metals. Amsterdam, Elsevier Science, 1988.</mixed-citation><mixed-citation xml:lang="en">Abrikosov A.A. Fundamentals of the Theory of Metals. Amsterdam, Elsevier Science, 1988.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Abdullaev B., Park C.-H., Park K.-S., Kang I.-J. Metal-insulator (fermion-boson)-crossover origin of pseudogap phase of cuprates I: anomalous heat conductivity, insulator resistivity boundary, nonlinear entropy. ArXiv e-prints, 2007, arXiv:cond-mat/0703290, 8 pp.</mixed-citation><mixed-citation xml:lang="en">Abdullaev B., Park C.-H., Park K.-S., Kang I.-J. Metal-insulator (fermion-boson)-crossover origin of pseudogap phase of cuprates I: anomalous heat conductivity, insulator resistivity boundary, nonlinear entropy. ArXiv e-prints, 2007, arXiv:cond-mat/0703290, 8 pp.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Abdullaev B., Abdullaev D.B. Park C.-H., Musakhanov M.M. Intra pseudogap- and superconductivy-pair spin and charge fluctuations and underdome metal-insulator (fermion-boson)-crossover phenomena as keystones of cuprate physics. Nanosystems: Phys. Chem. Math., 2015, 6, P. 803–824.</mixed-citation><mixed-citation xml:lang="en">Abdullaev B., Abdullaev D.B. Park C.-H., Musakhanov M.M. Intra pseudogap- and superconductivy-pair spin and charge fluctuations and underdome metal-insulator (fermion-boson)-crossover phenomena as keystones of cuprate physics. Nanosystems: Phys. Chem. Math., 2015, 6, P. 803–824.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Collignon C. et al. Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor La16 xNd04SrxCuO4. ArXiv e-prints, 2016, arXiv: 1607.05693, 11 pp.</mixed-citation><mixed-citation xml:lang="en">Collignon C. et al. Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor La16 xNd04SrxCuO4. ArXiv e-prints, 2016, arXiv: 1607.05693, 11 pp.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Mclaughlin A.C., Attfield J.P. Emergent Transition for Superconducting Fluctuations in Antiferromagnetic Ruthenocuprates. Phys. Rev. B, 2014, 90, P. R220509.</mixed-citation><mixed-citation xml:lang="en">Mclaughlin A.C., Attfield J.P. Emergent Transition for Superconducting Fluctuations in Antiferromagnetic Ruthenocuprates. Phys. Rev. B, 2014, 90, P. R220509.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Lawler M.J. et al. Intra-unit-cell electronic nematicity of the high-Tc copper- oxide pseudogap states. Nature, 2010, 466, P. 347–351.</mixed-citation><mixed-citation xml:lang="en">Lawler M.J. et al. Intra-unit-cell electronic nematicity of the high-Tc copper- oxide pseudogap states. Nature, 2010, 466, P. 347–351.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Drichko I.L. et al. Melting of Wigner crystal in high-mobility n-GaAs/AlGaAs heterostructures at filling factors 018 &gt; &gt; 0125: Acoustic studies. ArXiv e-prints (2016), ArXiv: 1607.01918, 6 pp.</mixed-citation><mixed-citation xml:lang="en">Drichko I.L. et al. Melting of Wigner crystal in high-mobility n-GaAs/AlGaAs heterostructures at filling factors 018 &gt; &gt; 0125: Acoustic studies. ArXiv e-prints (2016), ArXiv: 1607.01918, 6 pp.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Shayegan M. Flatland electrons in high magnetic fields. In High Magnetic Fields: Science and Technology, Vol. 3, edited by F. Herlach and N. Miura, Singapore, World Scientific Co, 2006, P. 31–60, ArXiv e-prints, 2005, ArXiv: cond-mat/0505520.</mixed-citation><mixed-citation xml:lang="en">Shayegan M. Flatland electrons in high magnetic fields. In High Magnetic Fields: Science and Technology, Vol. 3, edited by F. Herlach and N. Miura, Singapore, World Scientific Co, 2006, P. 31–60, ArXiv e-prints, 2005, ArXiv: cond-mat/0505520.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Ando Y. et al. Logarithmic Divergence of both In-Plane and Out-of-Plane Normal-State Resistivities of Superconducting La2 xSrxCuO4 in the Zero-Temperature Limit. Phys. Rev. Lett., 1995, 75, P. 4662—4665.</mixed-citation><mixed-citation xml:lang="en">Ando Y. et al. Logarithmic Divergence of both In-Plane and Out-of-Plane Normal-State Resistivities of Superconducting La2 xSrxCuO4 in the Zero-Temperature Limit. Phys. Rev. Lett., 1995, 75, P. 4662—4665.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Fournier P. et al. Insulator-Metal Crossover near Optimal Doping in Pr2 xCexCuO4: Anomalous Normal-State Low Temperature Resistivity. Phys. Rev. Lett., 1998, 81, P. 4720–4723.</mixed-citation><mixed-citation xml:lang="en">Fournier P. et al. Insulator-Metal Crossover near Optimal Doping in Pr2 xCexCuO4: Anomalous Normal-State Low Temperature Resistivity. Phys. Rev. Lett., 1998, 81, P. 4720–4723.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Ono S. et al. Metal-to-Insulator Crossover in the Low-Temperature Normal State of Bi2Sr2 xLaxCuO6+ . Phys. Rev. Lett., 2000, 85, P. 638–641.</mixed-citation><mixed-citation xml:lang="en">Ono S. et al. Metal-to-Insulator Crossover in the Low-Temperature Normal State of Bi2Sr2 xLaxCuO6+ . Phys. Rev. Lett., 2000, 85, P. 638–641.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Ando Y. et al. Supporting evidence of the unusual insulating behavior in the low-temperature normal-state resistivity of underdoped La2 xSrxCuO4. J. Low Temp. Phys., 1996, 105, P. 867–875.</mixed-citation><mixed-citation xml:lang="en">Ando Y. et al. Supporting evidence of the unusual insulating behavior in the low-temperature normal-state resistivity of underdoped La2 xSrxCuO4. J. Low Temp. Phys., 1996, 105, P. 867–875.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Boebinger G.S. et al. Insulator-to-Metal Crossover in the Normal State of La2 xSrxCuO4 Near Optimum Doping. Phys. Rev. Lett., 1996, 77, P. 5417–5420.</mixed-citation><mixed-citation xml:lang="en">Boebinger G.S. et al. Insulator-to-Metal Crossover in the Normal State of La2 xSrxCuO4 Near Optimum Doping. Phys. Rev. Lett., 1996, 77, P. 5417–5420.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Caprara S. et al. Signatures of nematic quantum critical fluctuations in the Raman spectra of lightly doped cuprates. Phys. Rev. B, 2015, 91, P. 205115.</mixed-citation><mixed-citation xml:lang="en">Caprara S. et al. Signatures of nematic quantum critical fluctuations in the Raman spectra of lightly doped cuprates. Phys. Rev. B, 2015, 91, P. 205115.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Vojta M. Lattice symmetry breaking in cuprate superconductors: stripes, nematics, and superconductivity. Adv. Phys., 2009, 58, P. 699–820.</mixed-citation><mixed-citation xml:lang="en">Vojta M. Lattice symmetry breaking in cuprate superconductors: stripes, nematics, and superconductivity. Adv. Phys., 2009, 58, P. 699–820.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Vojta M. Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors. Physica C, 2012, 481, P. 178.</mixed-citation><mixed-citation xml:lang="en">Vojta M. Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors. Physica C, 2012, 481, P. 178.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Fujita K. et al. Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking. Science, 2014, 344, P. 612–616.</mixed-citation><mixed-citation xml:lang="en">Fujita K. et al. Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking. Science, 2014, 344, P. 612–616.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Hill R.W. et al. Breakdown of Fermi-liquid theory in a copper-oxide superconductor. Nature, 2001, 414, P. 711–715.</mixed-citation><mixed-citation xml:lang="en">Hill R.W. et al. Breakdown of Fermi-liquid theory in a copper-oxide superconductor. Nature, 2001, 414, P. 711–715.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
