Fermi Surface Reconstruction by Dynamic Magnetic Fluctuations and Spin-Charge Separation Near an O(3) Quantum Critical Point

Abstract

Stimulated by the small/large Fermi surface controversy in the cuprates we consider a small number of holes injected into the bilayer antiferromagnet. The system has an O(3) quantum critical point (QCP) separating the magnetically ordered and the magnetically disordered phases. We demonstrate that nearly critical quantum magnetic fluctuations can change the Fermi surface topology and also lead to spin charge separation (SCS) in two dimensions. We demonstrate that in the physically interesting regime there is a magnetically driven Lifshitz point (LP) inside the magnetically disordered phase. At the LP the topology of the hole Fermi surface is changed. The position of the LP, while being close to the position of the QCP is generally different. Dependent on the additional hole hopping integrals $t^{\prime }$ and $t^{\prime \prime }$, the LP can be located either in the magnetically ordered phase and/or in the magnetically disordered phase. We also demonstrate that in this regime the hole spin and charge necessarily separate when approaching the QCP. The considered model sheds light on generic problems concerning the physics of the cuprates.

13 pages, 10 figures

References in corpus (44)

• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• LDA energy bands, low-energy Hamiltonians, t', t'', t_{perp}(k), and J_{perp}
• Theory of Underdoped Cuprates
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Intense paramagnon excitations in a large family of high-temperature superconductors
• A Phenomenological Theory of The Pseudogap State
• Spin dynamics in the pseudogap state of a high-temperature superconductor
• In-plane anisotropy of spin excitations in the normal and superconducting states of underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Two-Dimensional Geometry of Spin Excitations in the High Temperature Superconductor YBa2Cu3O6+x
• Fermi arcs and the hidden zeros of the Green's function in the pseudogap state
• Order-Disorder Transition in a Two-Layer Quantum Antiferromagnet
• Neutron scattering study of the magnetic phase diagram of underdoped YBa(2)Cu(3)O(6+x)
• Low-Energy Electronic Structure of the High-Tc Cuprates La2-xSrxCuO4 Studied by Angle-resolved Photoemission Spectroscopy
• Quantum impurity dynamics in two-dimensional antiferromagnets and superconductors
• On the Reconstructed Fermi Surface in the Underdoped Cuprates
• Novel approach to description of spin liquid phases in low-dimensional quantum antiferromagnets
• Loss of nodal quasiparticle integrity in underdoped YBa2Cu3O6+x
• Glassy Spin Freezing and NMR Wipeout Effect in the High-T_c Superconductor La1.90Sr0.10CuO4: What is the Relationship With Stripes ?
• Magnetic quantum oscillations in YBa${}_2$Cu${}_3$O${}_{6.61}$ and YBa${}_2$Cu${}_3$O${}_{6.69}$ in fields of up to 85 T; patching the hole in the roof of the superconducting dome
• Hole photoproduction in insulating copper oxide
• Evidence for Spin-Charge Separation in the Two-Dimensional T-J Model
• Quantum-Critical Behavior in a Two-Layer Antiferromagnet
• The magnetic states of lightly hole-doped cuprates in the clean limit
• Indications of Spin-Charge Separation in the 2D Extended t-J Model
• Spin dynamics near the critical doping in weakly-superconducting underdoped YBa2Cu3O6.35 (Tc=18K)
• Dynamical Properties of an Antiferromagnet near the Quantum Critical Point: Application to LaCuO_2.5
• Is there spin-charge separation in the 2D Hubbard and t-J models at low electronic densities?
• Various series expansions for the bilayer S=1/2 Heisenberg antiferromagnet
• Kramers degeneracy in a magnetic field and Zeeman spin-orbit coupling in antiferromagnetic conductors
• Spin-density wave Fermi surface reconstruction in underdoped YBa2Cu3O6+x
• Kramers degeneracy in a magnetic field and Zeeman spin-orbit coupling in antiferromagnets
• Doped bilayer antiferromagnets: Hole dynamics on both sides of a magnetic ordering transition
• Spin 1/2 Magnetic Impurity in a 2D Magnetic System Close to Quantum Critical Point
• Bond-Operator Mean Field Theory for the Bilayer Heisenberg Model
• Dynamics of spin ladders
• Doping dependence of the $(\pi ,\pi )$ shadow band in La-based cuprates studied by angle-resolved photoemission spectroscopy
• Effective action, magnetic excitations and quantum fluctuations in lightly doped single layer cuprates
• Single-hole dynamics in dimerized and frustrated spin-chains
• Studies of the t-J two-leg ladder via series expansions
• ARPES Spectral Function in Lightly Doped and Antiferromagnetically Ordered YBa2Cu3O{6+y}
• Single hole dynamics in the Kondo Necklace and Bilayer Heisenberg models on a square lattice
• Fermi Surface Reconstruction by Dynamic Magnetic Fluctuations
• Hole-Doping Effects on a Two-dimensional Kondo Insulator

Cited by in corpus (5)

• Wave function and spatial structure of polarons in an antiferromagnetic bilayer
• Bond particle theory for the pseudogap phase of underdoped cuprates
• Carrier dynamics in doped bilayer iridates near magnetic quantum criticality
• Casimir effect mechanism of pairing between fermions in the vicinity of a magnetic quantum critical point
• Impurity-induced magnetization in three dimensional antiferromagnet at quantum critical point