Evidence of electron fractionalization in the Hall coefficient at Mott criticality

Abstract

Hall coefficient implies the mechanism for reconstruction of a Fermi surface, distinguishing competing scenarios for Mott criticality such as electron fractionalization, dynamical mean-field theory, and metal-insulator transition driven by symmetry breaking. We find that electron fractionalization leaves a signature for the Hall coefficient at Mott criticality in two dimensions, a unique feature differentiated from other theories. We evaluate the Hall coefficient based on the quantum Boltzman equation approach, guaranteeing gauge invariance in both longitudinal and transverse transport coefficients.

References in corpus (24)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• A multi-component Fermi surface in the vortex state of an underdoped high-Tc superconductor
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• Critical fermi surfaces and non-fermi liquid metals
• Lifshitz critical point in the cuprate superconductor YBa2Cu3Oy from high-field Hall effect measurements
• Theory of a continuous Mott transition in two dimensions
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• de Haas-van Alphen oscillations in the underdoped cuprate YBa${}_2$Cu${}_3$O${}_{6.5}$
• Fermi-surface collapse and dynamical scaling near a quantum critical point
• Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
• Superconductivity and a Mott Transition in a Hubbard Model on an Anisotropic Triangular Lattice
• Exact diagonalization study of Mott transition in the Hubbard model on an anisotropic triangular lattice
• Selective Mott transition and heavy fermions
• Multi-scale fluctuations near a Kondo Breakdown Quantum Critical Point
• The thermopower as a signature of quantum criticality in heavy fermions
• Grüneisen ratio at the Kondo breakdown quantum critical point
• Spin liquids in graphene
• The thermopower as a fingerprint of the Kondo breakdown quantum critical point

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• Interplay between interaction and chiral anomaly: Anisotropy in the electrical resistivity of interacting Weyl metals
• Role of vertex corrections in the $T$-linear resistivity at the Kondo breakdown quantum critical point