Abstract

The localization of chiral fermionic zero modes in scalar field backgrounds with domain wall structure is investigated using a two-kink scalar background generated by the deformation method applied to the φ4 model. The two-kink profile is controlled by an asymmetry parameter a2 and an inter-kink separation parameter b. The study establishes two scaling laws: the collective center-of-mass position of the chiral zero modes depends linearly on a2, while the differential separation between the two chiral modes diverges as the background approaches the single-kink limit with exponent statistically consistent with −1. The mechanism is realized in bilayer graphene under an asymmetric two-kink electrostatic potential as an effective platform for the localization physics.

Abstract

The localization of chiral fermionic zero modes in scalar field backgrounds with domain wall structure is investigated using a two-kink scalar background generated by the deformation method applied to the φ4 model. The two-kink profile is controlled by an asymmetry parameter a2 and an inter-kink separation parameter b. The study establishes two scaling laws: the collective center-of-mass position of the chiral zero modes depends linearly on a2, while the differential separation between the two chiral modes diverges as the background approaches the single-kink limit with exponent statistically consistent with −1. The mechanism is realized in bilayer graphene under an asymmetric two-kink electrostatic potential as an effective platform for the localization physics.

Abstract

The localization of chiral fermionic zero modes in scalar field backgrounds with domain wall structure is investigated using a two-kink scalar background generated by the deformation method applied to the φ4 model. The two-kink profile is controlled by an asymmetry parameter a2 and an inter-kink separation parameter b. The study establishes two scaling laws: the collective center-of-mass position of the chiral zero modes depends linearly on a2, while the differential separation between the two chiral modes diverges as the background approaches the single-kink limit with exponent statistically consistent with −1. The mechanism is realized in bilayer graphene under an asymmetric two-kink electrostatic potential as an effective platform for the localization physics.

Abstract

The localization of chiral fermionic zero modes in scalar field backgrounds with domain wall structure is investigated using a two-kink scalar background generated by the deformation method applied to the φ4 model. The two-kink profile is controlled by an asymmetry parameter a2 and an inter-kink separation parameter b. The study establishes two scaling laws: the collective center-of-mass position of the chiral zero modes depends linearly on a2, while the differential separation between the two chiral modes diverges as the background approaches the single-kink limit with exponent statistically consistent with −1. The mechanism is realized in bilayer graphene under an asymmetric two-kink electrostatic potential as an effective platform for the localization physics.