Pasquale Marra

Nonhermitian topological zero modes at smooth domain walls: Exact solutions The bulk-boundary correspondence predicts the existence of boundary modes localized at the edges of topologically nontrivial systems. The wavefunctions of hermitian boundary modes can be obtained as t...

In our recent preprint, we extend the analytical solutions describing topological zero modes localized at smooth phase boundaries to the nonhermitian case.

arxiv.org/abs/2504.07098

Zero energy modes with gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes Abstract. Topological zero modes in topological insulators or superconductors are exponentially localized at the phase transition between a topologically t

Published on #PTEP → exact solutions for zero modes of a modified Dirac equation decaying exponentially, or faster, or slower than exponential, for different (hermitian and nonhermitian) potential shapes #physics

doi.org/10.1093/ptep...

arxiv.org/abs/2412.14255

Hi! I am Pascal! I am working on condensed matter and quantum physics. Nice to meet you!

Metric-induced nonhermitian physics I consider the long-standing issue of the hermicity of the Dirac equation in curved spacetime metrics. Instead of imposing hermiticity by adding ad hoc terms, I renormalize the field by a scaling func...

New paper! Uncovering the link between spacetime metrics & nonhermitian physics! Contractions/expansions of spacetime correspond to gain/loss nonhermitian processes and nonunitary dynamics ⚛️
arxiv.org/abs/2412.14250
#nonhermitian #quantumgravity #Quantum #arxiv #physics ⚛️

Zero energy modes with gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes Topological zero modes in topological insulators or superconductors are exponentially localized at the phase transition between a topologically trivial and nontrivial phase. These modes are solutions ...

New paper! We derive exact equations for zero-energy modes with exponential, gaussian, or polynomial decay in topological insulators and superconductors in hermitian and nonhermitian regimes
arxiv.org/abs/2412.14255
#TopologicalPhysics #Quantum #arxiv #physics #majoranamodes

Popular summary here:
"Cracking the code of topological boundaries: Exact solutions for zero modes"

link.growkudos.com/1c0xxxglr0g

Zero energy modes with gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes
https://arxiv.org/pdf/2412.14255
Pasquale Marra, Angela Nigro

Topological zero modes and bounded modes at smooth domain walls: Exact solutions and dualities Abstract. Topology describes global quantities invariant under continuous deformations, such as the number of elementary excitations at a phase boundary, w

Our recent work on exact analytical solutions of topological zero modes at smooth boundaries published on PTEP
#physics #hep #condensedmatter

doi.org/10.1093/ptep...

Gauge fields induced by curved spacetime on a lattice I found an extended duality (triality) between Dirac fermions in periodic spacetime metrics, nonrelativistic fermions in gauge fields (e.g., Harper-Hofstadter model), and in periodic scalar fields on ...

Magnetic fields (gauge) and gravitational fields (metrics) are very distinct entities. Yet, surprisingly, they are equivalent under a "rotation" combining position and momentum
x,p → x+p,x-p
Details here
arxiv.org/abs/2412.03647
#physics #quantum #gravity

Thanks! 😁

Yes, I agree, it is very abstract 😃 but broken symmetry is the only thing in common between the two process, which are very different otherwise. Of course there is no pattern recursion here, no fractality, no self-similarity at different scales…

At some level of abstraction, the two processes are very similar. You start with something which has approximately spherical symmetry and you end up with something that breaks this symmetry

It’s the same picture. It’s all breaking of mirror symmetry.

Hi @physgal.bsky.social — could you please add me to the physicist list? ⚛️ #physics Thank you!

#Physics ⚛️ #condmat #hep #arXiv

Pasquale Marra ‪Graduate School of Mathematical Sciences, The University of Tokyo‬ - ‪‪Cited by 603‬‬ - ‪Condensed matter theory‬

scholar.google.it/citations?us...

www.ms.u-tokyo.ac.jp/~pmarra/

@physgal.bsky.social Hello! I am a theoretical condensed matter physicist at the University of Tokyo. It’s nice being here!

Topological zero modes and bounded modes at smooth domain walls: Exact solutions and dualities Topology describes global quantities invariant under continuous deformations, such as the number of elementary excitations at a phase boundary, without detailing specifics. Conversely, differential la...

In our recent work, we find exact solutions for topologically-protected zero modes at smooth and exponentially-confined boundaries between trivial and nontrivial phases. This generalizes the exact solutions of Dirac equations with domain walls, i.e., Jackiw-Rebbi solitons.

arxiv.org/abs/2408.16466