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

Abstract

Quantum spin liquid (QSL) with spinon Fermi surface is an exotic insulator that hosts neutral Fermi surfaces inside the gap. In an external magnetic field, it has been pointed out that the neutral Fermi surfaces are Landau quantized to form Landau levels (LLs) due to the induced emergent gauge magnetic field. In this work, we calculate the electronic density of states (DOS) of the QSL in an orbital magnetic field. We find that the LLs from the neutral Fermi surfaces give rise to a set of steps emerging at the upper and lower Hubbard band edges. Each of the Hubbard band edge steps further develop into a band edge resonance peak when a weak gauge binding from the gauge field fluctuations is taken into account. Importantly, each Hubbard band edge step and its resulting resonance peak in the weak gauge binding are found to have a correspondence LL from the neutral Fermi surfaces, so the Hubbard band edge steps and the band edge resonance peaks are the unique features that characterize the Landau quantization of the in-gap neutral Fermi surfaces. We further consider the strong gauge binding regime where the band edge resonance peaks move into the Mott gap and develop into true in-gap bound states. In the strong gauge binding regime, we solve the bound state LL spectrum. For the bound state with a Mexican hat like band dispersion, we find that the envelop energy to have a state excited from the bound state LL decreases quadratically with the magnetic field. The quadratic decrease behavior of the envelop energy is consistent with the intuition that applying magnetic field localizes the states and energetically promotes the in-gap bound states formation. Finally, we connect our results to the electronic DOS spectra measured in the layered 1T-TaS${}_2$. We point out that a QSL with a quasi-bound state in the upper Hubbard band can give the DOS spectra similar to the one measured in the experiment.

arXiv comment17 pages, 10 figures, plus Supplementary Material. Comments are welcome

References in corpus (43)

• The electronic properties of graphene
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Liquids
• Quantum Spin Liquid States
• Theory of Underdoped Cuprates
• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Continuous Mott transition in semiconductor moiré superlattices
• On the stability of U(1) spin liquids in two dimensions
• Quantum Criticality in Twisted Transition Metal Dichalcogenides
• Unconventional Fermi surface in an insulating state
• 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
• Critical fermi surfaces and non-fermi liquid metals
• Theory of a continuous Mott transition in two dimensions
• An SU(2) Formulation of the t-J model: Application to Underdoped Cuprates
• Imaging spinon density modulations in a 2D quantum spin liquid
• Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• Mottness versus unit-cell doubling as the driver of the insulating state in 1T-TaS2
• Quantum Oscillations of Electrical Resistivity in an Insulator
• Quantum oscillations without a Fermi surface and the anomalous de Haas-van Alphen effect
• Spinon Fermi surface in a cluster Mott insulator model on a triangular lattice and possible application to 1T-TaS${}_2$
• Quantum oscillation in narrow-gap topological insulators
• 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
• Landau Quantization and Highly Mobile Fermions in an Insulator
• Direct identification of Mott Hubbard band pattern beyond charge density wave superlattice in monolayer 1T-NbSe2
• Quantum oscillations in insulators with neutral Fermi surfaces
• 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
• Modeling the pseudogap metallic state in cuprates: quantum disordered pair density wave
• Quantum oscillations in the activated conductivity in excitonic insulators: possible application to monolayer WTe2
• 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
• Quantum Oscillation of Thermally Activated Conductivity in a Monolayer WTe${}_2$-like Excitonic Insulator
• Low-energy behavior of spin-liquid electron spectral functions
• Hall anomaly, Quantum Oscillations and Possible Lifshitz Transitions in Kondo Insulator YbB${}_{12}$: Evidence for Unconventional Charge Transport
• 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. II. Zeeman Magnetic Field Effects
• Behavior under magnetic field of resonance at the edge of the upper Hubbard band in 1T-TaS2

Cited by in corpus (11)

• Probing quantum spin liquids with a quantum twisting microscope
• Quantum oscillations in a doped Mott insulator beyond Onsager's relation
• Charge-Neutral Electronic Excitations in Quantum Insulators
• Electronic Density of States of a $U\left(1\right)$ Quantum Spin Liquid with Spinon Fermi Surface. II. Zeeman Magnetic Field Effects
• Origin of Distinct Insulating Domains in the Layered Charge Density Wave Material 1T-TaS2
• Spectroscopic evidence for possible quantum spin liquid behavior in a two-dimensional Mott insulator
• The Detection of Unconventional Quantum Oscillations in Insulating 2D Materials
• Emergence of Spinon Fermi Arcs in the Weyl-Mott Metal-Insulator Transition
• Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice
• Topical review: the nature of the ground state and possibility of a quantum spin liquid in 1T metal dichalcogenides
• Emergent quantum phenomena in two-dimensional 1T-TaS2