Atomic spin chain realization of a model for quantum criticality

TL;DR

This study constructs and investigates atomic spin chains using scanning tunneling microscopy to emulate quantum critical behavior, revealing size-dependent ground state transitions and domain wall formations near the critical point.

Contribution

It demonstrates the experimental realization of a quantum critical model with atomic-scale spin chains, enabling direct observation of phase transition signatures in finite systems.

Findings

Observation of ground state changes near the critical field

Detection of domain wall entry in finite chains

Critical behavior onset as chain length increases

Abstract

The ability to manipulate single atoms has opened up the door to constructing interesting and useful quantum structures from the ground up. On the one hand, nanoscale arrangements of magnetic atoms are at the heart of future quantum computing and spintronic devices; on the other hand, they can be used as fundamental building blocks for the realization of textbook many-body quantum models, illustrating key concepts such as quantum phase transitions, topological order or frustration. Step-by-step assembly promises an interesting handle on the emergence of quantum collective behavior as one goes from one, to few, to many constituents. To achieve this, one must however maintain the ability to tune and measure local properties as the system size increases. Here, we use low-temperature scanning tunneling microscopy to construct arrays of magnetic atoms on a surface, designed to behave like spin-1/2 XXZ Heisenberg chains in a transverse field, for which a quantum phase transition from an antiferromagnetic to a paramagnetic phase is predicted in the thermodynamic limit. Site-resolved measurements on these finite size realizations reveal a number of sudden ground state changes when the field approaches the critical value, each corresponding to a new domain wall entering the chains. We observe that these state crossings become closer for longer chains, indicating the onset of critical behavior. Our results present opportunities for further studies on quantum behavior of many-body systems, as a function of their size and structural complexity.