Spin, Bose, and Non-Fermi Liquid Metals in Two Dimensions: Accessing via Multi-Leg Ladders

TL;DR

This paper explores how multi-leg ladder systems can serve as a bridge to study complex 2D quantum phases of bosons and fermions, revealing their properties through quasi-1D models.

Contribution

It introduces a novel approach to access and analyze 2D strongly correlated quantum phases via quasi-1D ladder systems, providing a new class of quantum states and their signatures.

Findings

Multi-leg ladders reveal 2D surface signatures in 1D models

Quasi-1D states carry fingerprints of 2D quantum fluids

Potential for controlled numerical and analytical studies of 2D phases

Abstract

Characterizing and accessing quantum phases of itinerant bosons or fermions in two dimensions (2D) that exhibit singular structure along surfaces in momentum space but have no quasi-particle description remains as a central challenge in the field of strongly correlated physics. Fortuitously, signatures of such 2D strongly correlated phases are expected to be manifest in quasi-one-dimensional "$N$-leg ladder" systems. The ladder discretization of the transverse momentum cuts through the 2D surface, leading to a quasi-1D descendant state with a set of low-energy modes whose number grows with the number of legs and whose momenta are inherited from the 2D surfaces. These multi-mode quasi-1D liquids constitute a new and previously unanticipated class of quantum states interesting in their own right. But more importantly they carry a distinctive quasi-1D "fingerprint" of the parent 2D quantum fluid state. This can be exploited to access the 2D phases from controlled numerical and analytical studies in quasi-1D models. The preliminary successes and future prospects in this endeavor will be briefly summarized.