Thermal Properties of Gauge-Invariant Graphene in Noncommutative Phase-Space

• URL: http://arxiv.org/abs/2603.07200v1
• Date: Sat, 07 Mar 2026 13:18:55 GMT
• Title: Thermal Properties of Gauge-Invariant Graphene in Noncommutative Phase-Space
• Abstract summary: We study graphene in an external magnetic field within a noncommutative (NC) framework.<n>A gauge-invariant NC Hamiltonian is derived, and the system is analyzed using the ladder-operator formalism.<n>The thermal properties of gauge-invariant NC graphene are then investigated via the partition function.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study graphene in an external magnetic field within a noncommutative (NC) framework. A gauge-invariant NC Hamiltonian is derived, and the system is analyzed using the ladder-operator formalism, yielding deformed Landau levels and eigenstates. The thermal properties of gauge-invariant NC graphene are then investigated via the partition function, constructed using Euler and Hurwitz zeta functions. Analytical expressions for the partition function, free energy, internal energy, entropy, and specific heat are obtained and numerically evaluated.

Related papers

• Renormalised thermodynamics for Bose gases from low to critical temperatures [41.99844472131922]
  We compute thermodynamic properties of dilute Bose gases using non-perturbative approximations.<n>It is shown how to systematically renormalise the self-consistent descriptions beyond conventional Gaussian approximations.
  arXiv  Detail & Related papers  (2026-04-17T17:53:03Z)
• Neural Green's Functions [26.725858777761506]
  We introduce a neural solution operator for linear partial differential equations (PDEs) whose differential operators admit eigendecompositions.<n>Inspired by Green's functions, we design Neural Green's Function to imitate their behavior, achieving superior generalization across diverse irregular geometries and source and boundary functions.
  arXiv  Detail & Related papers  (2025-11-02T09:08:01Z)
• Thermodynamic Properties and Superstatistics of Graphene under a Constant Magnetic Field [0.0]
  We present the solutions of the Dirac-Weyl equation for graphene under a constant magnetic field.<n>The study confirms the relativistic nature of electron transport in graphene under a magnetic field.
  arXiv  Detail & Related papers  (2025-05-31T21:00:24Z)
• Localization and "classical entanglement'' in the Discrete Non-Linear Schrödinger Equation [0.0]
  We study the peculiar thermodynamic properties of the localized high-energy phase of the Discrete Non-Linear Schr"odinger Equation (DNLSE)<n>A numerical sampling of the microcanonical ensemble done by means of Hamiltonian dynamics reveals a new and subtle relation between the presence of the localized phase and a property of the system.
  arXiv  Detail & Related papers  (2025-03-18T15:47:50Z)
• Covariant non-perturbative pointer variables for quantum fields [44.99833362998488]
  We derive and renormalize the integro-differential equation that governs the detector pointer-variable dynamics.<n>Our formal solution, expressed in terms of Green's functions, allows for the covariant, and causal analysis of induced observables on the field.
  arXiv  Detail & Related papers  (2025-02-03T11:53:31Z)
• Finite-temperature properties of string-net models [0.0]
  We compute the partition function of the string-net model and investigate several thermodynamical quantities. In the thermodynamic limit, we show that the partition function is dominated by the contribution of special particles, dubbed pure fluxons. We also analyze the behavior of Wegner-Wilson loops associated to excitations and show that they obey an area law.
  arXiv  Detail & Related papers  (2024-06-28T07:51:58Z)
• Topological Solitons in Square-root Graphene Nanoribbons Controlled by Electric Fields [34.82692226532414]
  Graphene nanoribbons (GNRs) have unique topological properties induced and controlled by an externally applied electric field. We show different topological phases can be achieved by controlling the direction of the field and the chemical potential of the system in square-root GNRs.
  arXiv  Detail & Related papers  (2024-06-20T03:58:24Z)
• The Tempered Hilbert Simplex Distance and Its Application To Non-linear Embeddings of TEMs [36.135201624191026]
  We introduce three different parameterizations of finite discrete TEMs via Legendre functions of the negative tempered entropy function. Similar to the Hilbert geometry, the tempered Hilbert distance is characterized as a $t$-symmetrization of the oriented tempered Funk distance.
  arXiv  Detail & Related papers  (2023-11-22T15:24:29Z)
• Counting Phases and Faces Using Bayesian Thermodynamic Integration [77.34726150561087]
  We introduce a new approach to reconstruction of the thermodynamic functions and phase boundaries in two-parametric statistical mechanics systems. We use the proposed approach to accurately reconstruct the partition functions and phase diagrams of the Ising model and the exactly solvable non-equilibrium TASEP.
  arXiv  Detail & Related papers  (2022-05-18T17:11:23Z)
• Dynamical Noncommutative Graphene [0.0]
  We study graphene in a two-dimensional dynamical noncommutative space in the presence of a constant magnetic field. The model is solved using perturbation theory and to the second order of perturbation. In addition, we investigate some of the thermodynamic quantities of the system at zero temperature limit and extreme relativistic case.
  arXiv  Detail & Related papers  (2021-10-21T21:13:59Z)
• Approximate Solutions, Thermal Properties and Superstatistics Solutions to Schr\"odinger Equation [0.0]
  We study thermal properties and superstatistics in terms of partition function (Z) and other thermodynamic properties. The proposed potential model reduces to Hellmann potential, Yukawa potential, Screened Hyperbolic potential and Coulomb potential as special cases.
  arXiv  Detail & Related papers  (2021-10-16T22:02:50Z)
• Entanglement Entropy of Non-Hermitian Free Fermions [59.54862183456067]
  We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry. Our results show that the entanglement entropy has a logarithmic correction to the area law in both one-dimensional and two-dimensional systems.
  arXiv  Detail & Related papers  (2021-05-20T14:46:09Z)
• Exact thermal properties of free-fermionic spin chains [68.8204255655161]
  We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
  arXiv  Detail & Related papers  (2021-03-30T13:15:44Z)
• Thermodynamic properties of a charged particle in non-uniform magnetic field [0.0]
  We find the energy spectrum and the wave function, and present an explicit relation for the partition function. It is concluded that the specific heat and magnetic susceptibility increase with external magnetic field strength.
  arXiv  Detail & Related papers  (2021-02-22T11:17:25Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.