Quantum phase transitions in Dirac fermion systems

Boyack, Rufus; Yerzhakov, Hennadii; Maciejko, Joseph

doi:10.1140/epjs/s11734-021-00069-1

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Vicinity Of the Qcp1

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2021

2023

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Cited by 18 publications

(1 citation statement)

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“…The vicinity to the quantum critical point at 𝑔 = 𝑔 𝑐 , 𝜇 = 0 is of particular interest. Phase transitions in systems with Dirac spectrum lie in the class of of Gross-Neveu-Yukawa models [32]. Renormalization group analyses of this class of models indicate that the quantum critical point acquires full Lorentz invariance (which in mean-field theory corresponds to the case 𝑡 = 𝐾).…”

Section: Vicinity Of the Qcpmentioning

confidence: 99%

Order Fractionalization in a Kitaev-Kondo model

Tsvelik¹,

Coleman²

2021

Preprint

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We describe a mechanism for order fractionalization in a two-dimensional Kondo lattice model, in which electrons interact with a gapless spin liquid of Majorana fermions described by the Yao-Lee (YL) model. When the Kondo coupling to the conduction electrons exceeds a critical value, the model develops a superconducting instability into a state where the spinor order parameter carries charge 𝑒 and spin 𝑆 = 1/2. The broken symmetry state develops a gapless Majorana Dirac cone in the bulk. By including an appropriate gauge string, we can show that the charge 𝑒, spinorial order develops off-diagonal long range order that allows electrons to coherently tunnel arbitrarily long distances through the spin liquid.

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Section: Vicinity Of the Qcpmentioning

confidence: 99%