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Published on: August 2, 2019
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Transport as a sensitive indicator of quantum criticality
G Schaller1, M Vogl, T Brandes
1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany.
Summary
We studied energy transport in one-dimensional spin systems using bosonic reservoirs. At high temperatures, current is chain-length independent, while at low temperatures, it inversely scales with length and is affected by disorder.
Area of Science:
- Quantum physics
- Condensed matter physics
- Statistical mechanics
Background:
- Investigating energy transport in low-dimensional quantum systems is crucial for understanding fundamental physical phenomena.
- Spin systems offer a unique platform for exploring quantum transport due to their inherent correlations and interactions.
Purpose of the Study:
- To analyze bosonic transport through one-dimensional spin systems coupled to thermal reservoirs.
- To determine how temperature bias and disorder influence energy current in these systems.
Main Methods:
- Employing the quantum-optical master equation under weak-coupling conditions.
- Calculating energy transmission from source to drain reservoirs.
Main Results:
- Longitudinal transport current becomes independent of chain length at large thermal bias.
- Current is not significantly affected by disorder at large thermal bias.
- At small temperatures, current scales inversely with chain length and is suppressed by disorder.
- Critical behavior of the ground state correlates with current behavior, even under infinite thermal bias.
Conclusions:
- The behavior of bosonic transport in one-dimensional spin systems is highly sensitive to temperature bias and disorder.
- Chain length plays a critical role in determining current at low temperatures but not at high temperatures.
- The study reveals a connection between ground state critical phenomena and transport properties.
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