Interactions-disorder duality and critical phenomena in nodal semimetals, dilute gases and other systems
arXiv:2104.02720 · doi:10.1103/PhysRevB.108.195132
Abstract
We investigate classes of interacting systems that allow for a mapping to disordered noninteracting systems. As we show, such a mapping is possible for interacting systems with a suppressed density of states at the chemical potential, leading to suppressed screening, and systems near BCS-type instabilities. The mapping can also be applied qualitatively to other classes of systems that are not exactly dual to each other. The established duality suggests a new approach to analytical and numerical studies of many-body and disorder-driven phenomena in a variety of systems and allows to predict, e.g., new phase transitions dual to the previously known ones. Using the established duality, we predict new disorder-driven transitions in nodal-line semimetals and systems with long-range hopping dual to, respectively, the BCS and BEC-vacuum transitions in interacting systems and new interaction-driven transitions dual to previously known non-Anderson disorder-driven transitions. The established principle can also be used to classify and describe phase transitions in dissipative systems described by non-Hermitian Hamiltonians.
arXiv comment14 pages, 8 figures
References in corpus (53)
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Exceptional Topology of Non-Hermitian Systems
- Topological phases of non-Hermitian systems
- Symmetry and Topology in Non-Hermitian Physics
- Topological Band Theory for Non-Hermitian Hamiltonians
- Nonlinear waves in -symmetric systems
- Observation of entanglement propagation in a quantum many-body system
- Non-local propagation of correlations in long-range interacting quantum systems
- Vortex Pinning and Non-Hermitian Quantum Mechanics
- Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
- Resonantly-paired fermionic superfluids
- Effect of Disorder on Transport in Graphene
- Weyl superconductors
- Quantum criticality between topological and band insulators in -dimensions
- Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
- Non-Hermitean Random Matrix Theory: method of hermitization
- Renormalization group fixed points, universal phase diagram, and 1/N expansion for quantum liquids with interactions near the unitarity limit
- Density of States Scaling at the Semimetal to Metal Transition in Three Dimensional Topological Insulators
- Rare region effects dominate weakly disordered 3D Dirac points
- Dirty Weyl fermions: rare region effects near 3D Dirac points
- A Charge-Density-Wave Topological Semimetal
- Excitonic Phases from Weyl Semi-Metals
- Critical transport in weakly disordered semiconductors and semimetals
- Large-N expansion for unitary superfluid Fermi gases
- Effect of Disorder in a Three-Dimensional Layered Chern Insulator
- Dirty Weyl semimetals: Stability, phase transition and quantum criticality
- Rare region induced avoided quantum criticality in disordered three-dimensional Dirac and Weyl semimetals
- Weyl semimetals with short-range interactions
- Disorder effect on 3-dimensional quantum spin Hall systems
- Odd parity superconductivity in Weyl semimetals
- Unconventional localisation transition in high dimensions
- Quantum Disordered Systems with a Direction
- Spectroscopy of interacting quasiparticles in trapped ions
- Quantum Critical Exponents for a Disordered Three-Dimensional Weyl Node
- Global Phase Diagram of a Dirty Weyl Liquid and Emergent Superuniversality
- Unifying the Anderson Transitions in Hermitian and Non-Hermitian Systems
- Critical exponents at the unconventional disorder-driven transition in a Weyl semimetal
- Disorder-induced metal-insulator transitions in three-dimensional topological insulators and superconductors
- Exceptional band touching for strongly correlated systems in equilibrium
- On the disorder-driven quantum transition in three-dimensional relativistic metals
- Monitoring the localization-delocalization transition within a 1D model with non-random long-range interaction
- Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
- Non-hermitian Hamiltonian description for quantum plasmonics: from dissipative dressed atom picture to Fano states
- Weyl node with random vector potential
- Avoided quantum criticality in exact numerical simulations of a single disordered Weyl cone
- Charge density wave instabilities of type-II Weyl semimetals in a strong magnetic field
- Quantum Multicriticality in Disordered Weyl Semimetal
- Disorder-driven quantum transition in relativistic semimetals: functional renormalization via the porous medium equation
- Synergetic ferroelectricity and superconductivity in zero-density Dirac semimetals near quantum criticality
- BCS-like disorder-driven instabilities and ultraviolet effects in nodal-line semimetals
- Duality between disordered nodal semimetals and systems with power-law hopping
- Non-Anderson critical scaling of the Thouless conductance in 1D
- Strange metal state near quantum superconductor-metal transition in thin films