Lifshitz quantum phase transitions and Fermi surface transformation with hole doping in high-$T_c$ superconductors

Abstract

We study the doping evolution of the electronic structure in the normal phase of high-$T_c$ cuprates. Electronic structure and Fermi surface of cuprates with single CuO${}_2$ layer in the unit cell like La${}_{2-x}$Sr${}_x$CuO${}_4$ have been calculated by the LDA+GTB method in the regime of strong electron correlations (SEC) and compared to ARPES and quantum oscillations data. We have found two critical concentrations, $x_{c1}$ and $x_{c2}$, where the Fermi surface topology changes. Following I.M. Lifshitz ideas of the quantum phase transitions (QPT) of the 2.5-order we discuss the concentration dependence of the low temperature thermodynamics. The behavior of the electronic specific heat $\delta (C/T)\sim (x-x_c{)}^{1/2}$ is similar to the Loram and Cooper experimental data in the vicinity of $x_{c1}\approx 0.15$.

8 pages, 4 figures

References in corpus (13)

• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Two Gaps Make a High Temperature Superconductor?
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• From high temperature supercondutivity to quantum spin liquid: progress in strong correlation physics
• Measuring the gap in ARPES experiments
• A new hybrid LDA and Generalized Tight-Binding method for the electronic structure calculations of strongly correlated electron systems
• Doping evolution of the electronic structure in the single-layer cuprates Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$: Comparison with other single-layer cuprates
• Cuprate Fermi orbits and Fermi arcs: the effect of short-range antiferromagnetic order
• Doping-dependent evolution of low-energy excitations and quantum phase transitions within effective model for High-Tc copper oxides
• Negative Hall coefficients of heavily overdoped La2-xSrxCuO4
• Fermiology of Cuprates from First Principles: From Small Pockets to the Luttinger Fermi surface
• The pseudogap ground state in high temperature superconductors

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