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20202026
most citedGeometric description of the Kitaev honeycomb lattice model

15 citations · 37 across the 10 of their papers we have counts for

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6 papers · 1 filter

cond-mat.str-el2024★ 5 cited

Optimally scrambling chiral spin-chain with effective black hole geometry

Aiden Daniel, Andrew Hallam, Matthew D. Horner +1

There is currently significant interest in emulating the essential characteristics of black holes, such as their Hawking radiation or their optimal scrambling behavior, using conde…

cond-mat.str-el2023

Exploring interacting chiral spin chains in terms of black hole physics

Ewan Forbes, Matthew D. Horner, Andrew Hallam +2

In this paper we explore the properties of a 1-dimensional spin chain in the presence of chiral interactions, focusing on the system's transition to distinct chiral phases for vari…

cond-mat.str-el2022★ 1 cited

Emergent Spacetime in Quantum Lattice Models

Matthew D. Horner

Many quantum lattice models have an emergent relativistic description in their continuum limit. The celebrated example is graphene, whose continuum limit is described by the Dirac…

cond-mat.str-el2022★ 11 cited

Chiral Spin-Chain Interfaces Exhibiting Event-Horizon Physics

Matthew D. Horner, Andrew Hallam, Jiannis K. Pachos

The interface between different quantum phases of matter can give rise to novel physics, such as exotic topological phases or non-unitary conformal field theories. Here we investig…

cond-mat.str-el2020★ 5 cited

Equivalence between vortices, twists and chiral gauge fields in Kitaev's honeycomb lattice model

Matthew D. Horner, Ashk Farjami, Jiannis K. Pachos

We demonstrate that gauge transformations and lattice deformations in Kitaev's honeycomb lattice model can have the same description in the continuum limit of the mo…

cond-mat.str-el2020★ 15 cited

Geometric description of the Kitaev honeycomb lattice model

Ashk Farjami, Matthew D. Horner, Chris N. Self +2

It is widely accepted that topological superconductors can only have an effective interpretation in terms of curved geometry rather than gauge fields due to their charge neutrality…