Magnetic catalysis in weakly interacting hyperbolic Dirac materials
- URL: http://arxiv.org/abs/2305.11174v1
- Date: Thu, 18 May 2023 17:59:32 GMT
- Title: Magnetic catalysis in weakly interacting hyperbolic Dirac materials
- Authors: Noble Gluscevich, Btan Roy
- Abstract summary: We show that application of strong external magnetic fields by virtue of producing a emphfinite density of states near the zero energy triggers the condensation of the CDW order even for emphsimal $V$.
We present scaling of the CDW order with the total flux enclosed by hyperbolic Dirac materials for a wide range of (especially subcritical) $V$.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Due to linearly vanishing density of states, emergent massless Dirac
quasiparticle resulting from the free fermion motion on a family of
two-dimensional half-filled bipartite hyperbolic lattices feature dynamic mass
generation through quantum phase transitions only for sufficiently strong
finite-range Coulomb repulsion. As such, strong nearest-neighbor Coulomb
repulsion ($V$) is conducive to the nucleation of a charge-density-wave (CDW)
order with a staggered pattern of average fermionic density between two
sublattices of bipartite hyperbolic lattices. Considering a collection of
spinless fermions (for simplicity), here we show that application of strong
external magnetic fields by virtue of producing a \emph{finite} density of
states near the zero energy triggers the condensation of the CDW order even for
\emph{infinitesimal} $V$. The proposed magnetic catalysis mechanism is
operative for uniform as well as inhomogeneous (bell-shaped) magnetic fields.
We present scaling of the CDW order with the total flux enclosed by hyperbolic
Dirac materials for a wide range of (especially subcritical) $V$.
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