Electronic Density of States of a $U\left(1\right)$ Quantum Spin Liquid with Spinon Fermi Surface. II. Zeeman Magnetic Field Effects

Abstract

The Zeeman effect lowers the energy of electrons with spin states which are anti-parallel to the applied magnetic field but lifts that of spin parallel states. In quantum spin liquids where the spin and charge degrees of freedom are fractionalized, anomalous Zeeman response may be expected. In the case of spin liquids with spinon Fermi surface, the threshold energy to excite an electronic state is found to exhibit no Zeeman shift. This is specific to the spinon Fermi surface case. In contrast, other gapped spin liquids are expected to exhibit the standard Zeeman shift at the band edge even though they also exhibit spin-charge fractionalization. When gauge field fluctuations are included, we find that the Zeeman shift of the electronic states gets affected by the gauge field induced binding. In the electronic density of states spectra, weak gauge binding induces band edge resonance peaks which exhibit the Zeeman shift in the same direction as that in the standard Zeeman effect, but the shift is reduced as the binding potential increases. With further increase in the binding potential the resonance becomes true in-gap bound states and eventually the shift direction reverses so it is opposite to the standard Zeeman effect. We propose that one can perform spin polarized scanning tunneling microscope measurements as a test of the spinon Fermi sea ground state in quantum spin liquid candidate materials.

arXiv comment6 pages, 3 figures, plus Supplemental Material. Comments are welcome

References in corpus (39)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Liquids
• Quantum Spin Liquid States
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Theory of Underdoped Cuprates
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Rare-earth triangular lattice spin liquid: a single-crystal study of YbMgGaO${}_4$
• Evidence for a spinon Fermi surface in a triangular lattice quantum spin liquid candidate
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Is 1T-TaS${}_2$ a 40 year old quantum spin liquid?
• On the stability of U(1) spin liquids in two dimensions
• Kitaev magnetism in honeycomb RuCl3 with intermediate spin-orbit coupling
• Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
• Visualizing Exotic Orbital Texture in the Single-Layer Mott Insulator 1T-TaSe2
• Imaging spinon density modulations in a 2D quantum spin liquid
• Mottness versus unit-cell doubling as the driver of the insulating state in 1T-TaS2
• Possible valence-bond condensation in the frustrated cluster magnet LiZn2Mo3O8
• Spinon Fermi surface in a cluster Mott insulator model on a triangular lattice and possible application to 1T-TaS${}_2$
• Orbital-driven Mottness collapse in 1T-TaS2-xSex transition metal dichalcogenide
• Mott transition between a spin-liquid insulator and a metal in three dimensions
• Monolayer 1T-NbSe2 as a 2D correlated magnetic insulator
• Coexisting localized and itinerant gapless excitations in a quantum spin liquid candidate 1T-TaS${}_2$
• Direct identification of Mott Hubbard band pattern beyond charge density wave superlattice in monolayer 1T-NbSe2
• Theory of spin-polarized scanning tunneling microscopy applied to local spins
• Heat transport study of the spin liquid candidate 1T-TaS2
• Evidence for a spinon Kondo effect in cobalt atoms on single-layer 1T-TaSe${}_2$
• Mott insulator tuning via structural distortion in monolayer 1T-NbSe2
• Inducing and tuning Kondo screening in a narrow-electronic-band system
• Magnetic Impurity as a Local Probe of the U(1) Quantum Spin Liquid with Spinon Fermi Surface
• Low-energy behavior of spin-liquid electron spectral functions
• Collective spinon spin wave in a magnetized U(1) spin liquid
• Doublon-like excitations and their phononic coupling in a Mott charge-density-wave system
• Electronic Density of States of a $U\left(1\right)$ Quantum Spin Liquid with Spinon Fermi Surface. I. Orbital Magnetic Field Effects

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