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Exploring Thermal Transport in Superconducting Materials

Study reveals complex interactions between superconductivity and spin density waves.

― 5 min read


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Many materials exhibit superconductivity, a state where they can conduct electricity without resistance, especially at low temperatures. This unique property can change depending on how certain behaviors inside the materials interact. One important aspect of Superconductors is how heat and electrical energy move through them, a concept known as Thermal Transport.

Scientists study thermal transport to uncover the hidden properties of materials. This exploration is vital for understanding how superconductors behave, especially when other phases, such as Spin Density Waves, also exist. Spin density waves occur when the spins of electrons in a material become ordered and can impact how electricity flows.

Types of Superconductors

Superconductors come in different types. High-temperature superconductors, such as cuprates and iron-based materials, are known for their complex behaviors. These materials typically have layered structures, making it easier to create thin superconducting layers for study.

High-temperature superconductors often have unique phase diagrams. A phase diagram helps visualize how different states of a material can exist under varying conditions, like temperature or material composition. In many cases, the superconducting state can coexist with an antiferromagnetic state, where magnetic moments of electrons align in a regular pattern. Understanding these interactions can help researchers learn more about superconductivity.

Effects of Spin Density Waves

When spin density waves occur alongside superconductivity, they can significantly affect the electronic transport properties. This link is critical because it tells us how electrons behave in these materials.

One crucial point of study in this field is how the arrangement of electron spins can change the structure of the electronic states. In systems where spin density waves coexist with superconductivity, researchers find that the electrical properties can differ in various directions, creating what is known as anisotropy.

Importance of Thermal Conductivity Measurements

Thermal conductivity measurements serve as an essential tool for scientists. By measuring how heat moves through superconducting materials, researchers can gain insights into their electronic properties. For most metals, the thermal conductivity is influenced by how electrons scatter due to imperfections in the material structure and impurities.

In superconductors, the situation changes. The behavior of thermal conductivity can reveal valuable information about the nature of the superconducting state. Unconventional superconductors, for instance, may exhibit different thermal conductivity patterns compared to traditional superconductors. These patterns often display a linear relationship with temperature, reflecting the presence of special electron states known as nodal states.

Role of Electron States

The arrangement of electron states around specific points in a material’s electronic structure can determine how heat is conducted. In some superconductors, there are regions where these states allow electrons to move more freely, leading to higher thermal conductivity.

When superconductors are in a mixed phase-like when both superconductivity and spin density waves are present-these electronic states can behave differently. The interactions between the superconducting state and the spin density wave often lead to modifications in how thermal transport occurs.

Types of Spin Density Wave Systems

Researchers typically investigate two types of spin density wave systems. The first system involves a specific arrangement known as commensurate spin density waves. These waves have a specific pattern and can exist in conjunction with distinct Superconducting Gaps.

The second system explores variations in arrangement and symmetry, where the properties can change according to how the ordering interacts with superconductivity. Understanding these systems helps researchers see how different arrangements affect electron transport.

Thermal Conductivity in Different Directions

In studying how heat moves through these materials, it becomes clear that thermal conductivity can vary depending on the direction in which it is measured. Often, the thermal conductivity along different paths can reveal details about the underlying electronic structure.

For instance, when measuring thermal conductivity parallel to the spin density wave's direction, researchers may notice a significant drop in conductivity at low temperatures. In contrast, measuring perpendicular to this direction might yield more typical values, resembling ordinary metals.

Impact of Superconducting Gaps

The nature of the superconducting gap is another vital aspect affecting thermal conductivity. Superconducting gaps describe the energy range around the Fermi level, where electron states are no longer available for conduction. This factor is crucial since the type of gap-whether it is even or odd-determines how thermal properties vary.

For example, an even superconducting gap may allow certain electronic states to exist, even when spin density waves are present. This situation can create additional paths for electrons to conduct heat, leading to variations in thermal conductivity depending on the symmetry of the gap.

Experimental Observations and Findings

Through various experiments, researchers have identified patterns in thermal conductivity based on the behavior of superconductors. Measurements show that the presence of spin density waves leads to shorter lifetimes for electronic states. This factor diminishes the effectiveness of thermal transport.

In contrast, maintaining certain symmetry in the states can enable higher thermal conductivity. It highlights the relationship between electron states and the ability of heat to propagate through materials. Therefore, how we measure and interpret these variations is crucial for understanding the overall properties of superconductors.

Conclusion: Implications for Future Research

Current findings provide insights into the thermal transport behavior of materials exhibiting both superconductivity and spin density waves. These studies hold promise for advancing our understanding of how these materials can be utilized in technology.

While the understanding of thermal conductivity in superconductors has made significant strides, many questions remain. Future research may focus on exploring further the relationship between different phases, the role of impurities, and the influence of material composition on thermal transport properties.

By improving our understanding of these factors, scientists can develop superconducting materials that operate more efficiently, creating potential applications in various fields, including electronics, energy storage, and magnetic devices.

Original Source

Title: Anisotropic Thermal Transport in Superconductors with Coexisting Spin Density Waves

Abstract: Thermal conductivity measurements can provide key and experimentally verifiable insight into the electronic transport of unconventional superconductors. In this work, electronic thermal transport of two-dimensional tight-binding metallic systems with coexisting $d$-wave superconducting (SC) and antiferromagnetic spin density wave (SDW) orders with nesting vector $\mathbf{Q} = (\pi/2,\pi/2)$ or $(\pi,0)$ are considered. The coexisting SC and SDW orders are modelled at the mean-field level. Thermal conductivities are numerically calculated within Boltzmann kinetic theory in the weak impurity scattering (Born) limit. These SDW nesting vectors are chosen for their unique property of reconstructing the Fermi surface (FS) parallel to $\mathbf{Q}$ and preserving the metallic FS perpendicular to $\mathbf{Q}$. This leads to anisotropic electronic thermal conductivities parallel and perpendicular to $\mathbf{Q}$, which also depend on the presence or absence of additional gapless excitations exclusive to the coexistence phase. It was found that the $\mathbf{Q} = (\pi/2,\pi/2)$ and $(\pi,0)$ SDW systems exhibit equivalent electron transport relative to $\mathbf{Q}$. These systems also had equivalent electron transport when coexisting with a $d$-wave SC gap when $\Delta_{\mathbf{k}}$ had the same symmetry class under translations of $\mathbf{Q}$.

Authors: Sean F Peterson, Sourav Sen Choudhury, Yves Idzerda

Last Update: 2023-06-25 00:00:00

Language: English

Source URL: https://arxiv.org/abs/2304.08633

Source PDF: https://arxiv.org/pdf/2304.08633

Licence: https://creativecommons.org/licenses/by/4.0/

Changes: This summary was created with assistance from AI and may have inaccuracies. For accurate information, please refer to the original source documents linked here.

Thank you to arxiv for use of its open access interoperability.

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