Berry Phase in Cuprate Superconductors

Abstract

Geometrical Berry phase is recognized as having profound implications for the properties of electronic systems. Over the last decade, Berry phase has been essential to our understanding of new materials, including graphene and topological insulators. The Berry phase can be accessed via its contribution to the phase mismatch in quantum oscillation experiments, where electrons accumulate a phase as they traverse closed cyclotron orbits in momentum space. The high-temperature cuprate superconductors are a class of materials where the Berry phase is thus far unknown despite the large body of existing quantum oscillations data. In this report we present a systematic Berry phase analysis of Shubnikov - de Haas measurements on the hole-doped cuprates YBa${}_2$Cu${}_3$O${}_y$, YBa${}_2$Cu${}_4$O${}_8$, HgBa${}_2$CuO${}_{4+\delta }$, and the electron-doped cuprate Nd${}_{2-x}$Ce${}_x$CuO${}_4$. For the hole-doped materials, a trivial Berry phase of 0 mod $2\pi$ is systematically observed whereas the electron-doped Nd${}_{2-x}$Ce${}_x$CuO${}_4$ exhibits a significant non-zero Berry phase. These observations set constraints on the nature of the high-field normal state of the cuprates and points towards contrasting behaviour between hole-doped and electron-doped materials. We discuss this difference in light of recent developments related to charge density-wave and broken time-reversal symmetry states.

new version with added supplementary information

References in corpus (36)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Berry Phase Effects on Electronic Properties
• Topological Insulators in Three Dimensions
• Topological Insulator Materials
• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Magnetic-field-induced charge-stripe order in the high temperature superconductor YBa2Cu3Oy
• Progress and perspectives on the electron-doped cuprates
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions (Supporting Material)
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• Lifshitz critical point in the cuprate superconductor YBa2Cu3Oy from high-field Hall effect measurements
• Charge ordering in the electron-doped superconductor Nd2-xCexCuO4
• Topological Berry phase and semiclassical quantization of cyclotron orbits for two dimensional electrons in coupled band models
• Universal quantum oscillations in the underdoped cuprate superconductors
• Fermi Surface Evolution in an Electron-Doped High-Tc Superconductor Revealed by Magnetic Quantum Oscillations
• Angle-resolved Landau spectrum of electrons and holes in bismuth
• Angle-dependence of quantum oscillations in YBa2Cu3O6.59 shows free spin behaviour of quasiparticles
• Quantum oscillations from nodal bilayer magnetic breakdown in the underdoped high temperature superconductor YBa2Cu3O6+x
• Berry phase mechanism for optical gyrotropy in stripe-ordered cuprates
• Hall, Seebeck, and Nernst Coefficients of Underdoped HgBa2CuO4+d: Fermi-Surface Reconstruction in an Archetypal Cuprate Superconductor
• Correlation between Fermi surface transformations and superconductivity in the electron-doped high-$T_c$ superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• Fermi Surface of the Electron-doped Cuprate Superconductor Nd_{2-x}Ce_xCuO_{4} Probed by High-Field Magnetotransport
• Berry phase and de Haas - van Alphen effect in LaRhIn${}_5$
• Fermi liquid behaviour in an underdoped high Tc superconductor
• Measure of Diracness in two-dimensional semiconductors
• Quantum Oscillations in the mixed state of d-wave superconductor
• Quantum oscillations in a d-wave vortex liquid

Cited by in corpus (5)

• Pressure-induced topological phase transition in noncentrosymmetric elemental Tellurium
• Driven dissipative dynamics and topology of quantum impurity systems
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Simple mechanisms that impede the Berry phase identification from magneto-oscillations
• Field-angle dependence of sound velocity in the Weyl semimetal TaAs