<?xml version="1.0" encoding="UTF-8"?><rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:atom="http://www.w3.org/2005/Atom" version="2.0"><channel><title><![CDATA[Quantum Geometry and Matter Group]]></title><description><![CDATA[Geometry, topology, and nonperturbative structures in quantum matter.]]></description><link>https://www.qgmresearch.com/news</link><generator>RSS for Node</generator><lastBuildDate>Sat, 15 Aug 2026 03:18:05 GMT</lastBuildDate><atom:link href="https://www.qgmresearch.com/blog-feed.xml" rel="self" type="application/rss+xml"/><item><title><![CDATA[Geometry of Real Space Magnetic Texture Reshapes Exotic Superconducting Order]]></title><description><![CDATA[Our most recent work explores a distinct direction about unconventional superconductivity in the presence of a magnetic texture. In conventional descriptions of superconductivity, the magnetic environment is often treated either as a perturbation that suppresses superconductivity or as a fixed background. This picture becomes inadequate when the superconducting order itself carries internal spin structure and coexists with a noncollinear or frustrated magnetic texture. For a triplet...]]></description><link>https://www.qgmresearch.com/post/exploring-topological-matter-in-quantum-research</link><guid isPermaLink="false">6a2440d2f64e529b409f25ba</guid><pubDate>Sat, 06 Jun 2026 15:46:26 GMT</pubDate><enclosure url="https://static.wixstatic.com/media/543f92_a401f32e58c14fa29fc9b3e808e2aa68~mv2.jpg/v1/fit/w_1000,h_1000,al_c,q_80/file.png" length="0" type="image/png"/><dc:creator>Yi Li</dc:creator></item><item><title><![CDATA[Geometry of Cooper Pairs in Momentum Space: Monopole and Spinor Superconductivity]]></title><description><![CDATA[When the geometry of electronic wave functions reshapes superconductivity -- Conventional superconductivity is described by Cooper pairs characterized by relatively familiar angular-momentum symmetries. In topological quantum materials, however, the electronic states themselves can possess nontrivial momentum-space geometry. Pairing electrons living on such states can force the superconducting order parameter into forms that have no direct counterpart in ordinary superconductors.     Our work...]]></description><link>https://www.qgmresearch.com/post/monopole-and-spinor-superconductivity</link><guid isPermaLink="false">6a7f2008776980a988495500</guid><pubDate>Sun, 15 Mar 2026 14:10:27 GMT</pubDate><enclosure url="https://static.wixstatic.com/media/543f92_6b049b7a18764cfa8c11722e37c7df6e~mv2.png/v1/fit/w_1000,h_1000,al_c,q_80/file.png" length="0" type="image/png"/><dc:creator>Yi Li</dc:creator></item><item><title><![CDATA[Geometry of High-dimensional Landau Levels]]></title><description><![CDATA[Reimagining Landau quantization beyond two dimensions -- Two-dimensional Landau levels provide one of the fundamental structures of condensed matter physics. A charged particle moving in a magnetic field develops highly degenerate quantum levels; after interactions are included, this simple structure underlies the integer and fractional quantum Hall effects.     A natural but surprisingly interesting question is: Is there a fundamental Landau-level structure in three dimensions? My early work...]]></description><link>https://www.qgmresearch.com/post/nonperturbative-results-from-yi-li-s-quantum-theory-group</link><guid isPermaLink="false">6a2440cf1f44c606b3799830</guid><pubDate>Tue, 06 Jan 2026 16:46:23 GMT</pubDate><enclosure url="https://static.wixstatic.com/media/543f92_751e7962efc1476b9d2f63cda7e86d5c~mv2.png/v1/fit/w_1000,h_859,al_c,q_80/file.png" length="0" type="image/png"/><dc:creator>Yi Li</dc:creator></item><item><title><![CDATA[Non-perturbative Analytic and Quantum Monte Carlo Study of Strongly Correlated Quantum Systems]]></title><description><![CDATA[When Interactions Define New Physics -- Many of the most fascinating phenomena in quantum materials arise precisely where conventional approximations become least reliable. In weakly interacting systems, one can often begin with independent electrons and incorporate interactions perturbatively. In strongly correlated quantum systems, however, interactions are not merely corrections to single-particle physics -- they can reorganize the many-body state and generate fundamentally new phenomena...]]></description><link>https://www.qgmresearch.com/post/analytical-methods-in-strongly-correlated-quantum-materials</link><guid isPermaLink="false">6a2440d31a907a1704eb305a</guid><pubDate>Thu, 06 Jan 2022 16:46:27 GMT</pubDate><enclosure url="https://static.wixstatic.com/media/543f92_4fd7455905de4f2584398669a204d349~mv2.gif/v1/fit/w_1000,h_1000,al_c,q_80/file.png" length="0" type="image/png"/><dc:creator>Yi Li</dc:creator></item></channel></rss>