Science Matters: Jainendra Jain

Jainendra K. Jain, Evan Pugh University Professor and Erwin W. Müller Professor of Physics and holder of the Eberly Family Chair in the Penn State Eberly College of Science, specializes in theoretical condensed matter physics. He uses theoretical approaches to understand the unexpected emergent behaviors of strongly interacting quantum many-body systems, especially in low dimensions. His interests include fractional quantum Hall effect, composite fermions, anyons, Majorana particles, graphene physics and various topological phenomena. 

In 1988, Jain made theoretical advances that reshaped our understanding of quantum mechanics.

In 1982, physicists performed experiments on two-dimensional electrons in an extremely powerful magnetic field and low temperatures and made the surprising discovery that a property called the Hall resistance took on only some special values, jumping from one special value to another as the magnetic field was increased. When measured in natural units, these special values were certain fractions, such as 2/5 and 4/7, and the phenomenon was therefore called the “fractional quantum Hall effect.” The three researchers involved in the discovery were awarded the Nobel Prize in 1998 for “for their discovery of a new form of quantum fluid with fractionally charged excitations.” 

 

What was the origin of the fractional quantum Hall effect?

Jain’s research answered this question. He introduced a class of exotic particles called composite fermions. Jain explained the origin of the phenomenon and predicted that the fractions appear in certain sequences, which are now called the Jain sequences. Hundreds of fractions in various two-dimensional systems belong to the Jain sequences. This new state of matter consists of the intricate sequence of fractional quantum Hall states, now known as Jain states. Jain described the composite fermion as an electron trapped inside a quantum vortex in this strange liquid, sometimes thought of as an electron bound to a quantized magnetic field.

 

What more can they do?

Composite fermions also form a metallic phase and a crystalline phase. Moreover, under certain conditions, they form a superconductor—or a material that can conduct electricity without losing any energy at low temperatures. Theorists predicted this is a special type of superconductor which would contain an even stranger particle, called a Majorana, which is its own antiparticle, or a particle with the same mass but different charge.  

These discoveries advance high performance electronics, enabling ultra-low resistance materials and topological quantum computing. They reveal complex quantum behaviors, guiding novel materials with revolutionary properties. 

“These discoveries advance high performance electronics, enabling ultra-low resistance materials and topological quantum computing,” the Wolf Foundation shared in its award presentation on March 10, 2025. “They reveal complex quantum behaviors, guiding novel materials with revolutionary properties.”
“For theoretical physicists, beauty is a single idea that explains and unifies a host of seemingly unrelated phenomena."
Jainendra Jain
Evan Pugh University Professor and Erwin W. Müller Professor of Physics and holder of the Eberly Family Chair in the Penn State Eberly College of Science

Research and education

An Indian-American physicist, Jain was born in Sambhar, Rajasthan, India, a rural village located at the eastern margin of Thar dessert where he received his primary, middle and high school education. Read more about his early life and discovery of physics in this May 2025 Hindustan Times article.

Prior to joining Penn State in 1998, Jain was a professor of physics at Stony Brook University. He also was a postdoctoral scholar at Yale University and the University of Maryland. Jain earned his doctoral degree from Stony Brook University in 1985 after earning a bachelor's and a master's degree in physcs in India.

In the series of videos below, Jain discusses his thoughts on science, teaching, Penn State, and more.

Jain first developed his theory while he was a postdoctoral scholar at Yale University.

“When the idea of composite fermions first struck me during the Christmas break of 1988, I did not know that these particles would occupy my mind every day for the next 37 years," he said. "My hope is that this prize will motivate a few more to experience the beauty of nature through composite fermions.”
Under certain conditions, composite fermions form a superconductor — or a material that can conduct electricity without losing any energy at low temperatures — that theorists predicted would contain an even stranger particle, called a Majorana, which is its own antiparticle, or a particle with the same mass but different charge.

“These discoveries advance high performance electronics, enabling ultra-low resistance materials and topological quantum computing,” the Wolf Foundation shared.
The Wolf Prize is one of the highest honors in the world of science, and this well-deserved recognition of Dr. Jain’s extraordinary contributions is a proud moment for Penn State. For over 30 years, his groundbreaking work in theoretical physics has deepened our understanding of quantum matter, paving the way for real-world innovations in high-performance electronics and quantum computing. His research exemplifies the power of university-driven discovery, and we celebrate this prestigious recognition of his remarkable achievements."
Neeli Bendapudi
Penn State President
In February 2025, Microsoft announced a potential breakthrough in quantum computing based, in part, on the early work of Jain and others in this space.

“I am on the theoretical understanding side of this spectrum, but I work closely with scientists who test whether the theories correspond to reality,” Jain said. “The news from Microsoft is an example of how basic research at universities could lead to real-world applications that drive innovation — like quantum computers.”
Jainendra Jain’s composite fermions theory not only reshaped our understanding of quantum mechanics but also stands as one of the most significant contributions to condensed matter physics in the past four decades. His contributions have set a new paradigm in the field. With groundbreaking theoretical advancements, an unwavering dedication to teaching, and a commitment to scientific leadership, Jainendra has left an indelible mark on physics. This is an incredible honor, not only for Jainendra but also for Penn State and our entire physics department.”
Mauricio Terrones
George A. and Margaret M. Downsbrough Head of the Department of Physics and Evan Pugh University Professor
“I am immensely grateful to the Wolf Foundation for welcoming me into this truly esteemed community of scientists for my introduction of composite fermions. The honor truly belongs to my students, collaborators and numerous other researchers whose brilliant work transformed composite fermions from an idea to reality,” Jain said.
Penn State’s leadership in the materials sciences is built on a fabulous legacy of bold ideas and groundbreaking research in physics and chemistry and other materials-related fields. And that legacy truly lives on in the Eberly College of Science.
Tracy Langkilde
Verne M. Willaman Dean of the Eberly College of Science
Jain spoke about his research on Sept. 5 at the college’s inaugural Science Matters: Spotlight Sessions event recognizing several milestones in the Department of Physics.