Perfect Metal Phases of One-Dimensional and Anisotropic Higher-Dimensional Systems

Abstract

We show that a 1D quantum wire with $23$ channels of interacting fermions has a perfect metal phase in which all weak perturbations that could destabilize this phase are irrelevant. Consequently, weak disorder does not localize it, a weak periodic potential does not open a gap, and contact with a superconductor also fails to open a gap. Similar phases occur for $N\ge 24$ channels of fermions, except for $N=25$, and for $8k$ channels of interacting bosons, with $k\ge 3$. Arrays of perfect metallic wires form higher-dimensional fermionic or bosonic perfect metals, albeit highly-anisotropic ones.

arXiv comment6 pages. Supplementary information: large matrices in a Mathematica notebook and in 12 text files

References in corpus (17)

• Topological Insulators
• Topological insulators and superconductors
• The Black Hole in Three Dimensional Space Time
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• 2D symmetry protected topological orders and their protected gapless edge excitations
• Quantum Theory of the Smectic Metal State in Stripe Phases
• Scaling theory of two-dimensional metal-insulator transitions
• A Universal Inequality for CFT and Quantum Gravity
• Two dimensional anisotropic non Fermi-liquid phase of coupled Luttinger liquids
• Sliding Luttinger liquid phases
• Bulk-Edge Correspondence in 2+1-Dimensional Abelian Topological Phases
• Sliding Phases in XY-Models, Crystals, and Cationic Lipid-DNA Complexes
• D-wave correlated Critical Bose Liquids in two dimensions
• Sliding Columnar Phase of DNA-Lipid Complexes
• Interactions and Scaling in a Disordered Two-Dimensional Metal
• Topological Insulators Avoid the Parity Anomaly

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• Subdimensional criticality: condensation of lineons and planons in the X-cube model
• Curiosities above c = 24
• Possible Sliding Regimes in Twisted Bilayer WTe${}_2$
• Two-dimensional conductors with interactions and disorder from particle-vortex duality
• Coupled Wire Models of Interacting Dirac Nodal Superconductors
• Almost Perfect Metals in One Dimension
• Transport in a One-Dimensional Hyperconductor
• Current Algebra Approach to 2d Chiral Metals
• Luttinger liquid with complex forward scattering: robustness and Berry phase
• Interaction-enhanced quantum to classical transport crossover temperature in a Luttinger liquid